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        <title>Frontiers in Physics | Statistical and Computational Physics section | New and Recent Articles</title>
        <link>https://www.frontiersin.org/journals/physics/sections/statistical-and-computational-physics</link>
        <description>RSS Feed for Statistical and Computational Physics section in the Frontiers in Physics journal | New and Recent Articles</description>
        <language>en-us</language>
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        <pubDate>2026-08-12T01:15:46.962+00:00</pubDate>
        <ttl>60</ttl>
        <item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1845540</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1845540</link>
        <title><![CDATA[Hybrid data-driven optimization of electrical performance in 10 MW-class wind turbines: a quantitative multi-physics coupling approach]]></title>
        <pubdate>2026-07-03T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Haonan Cui</author><author>Lipeng Yan</author><author>Zhizheng Chen</author>
        <description><![CDATA[The aim of this study is to propose a real-time multiphysics control framework for large-scale offshore wind turbines for a hybrid Model Predictive Control, Reinforcement Learning and Genetic Algorithms system. The goal is to achieve optimal aerodynamic efficiency, minimize structural fatigue loads and improve the quality of electrical power generated under stochastic wind conditions. The proposed framework combines four coupled subsystems: aerodynamic model based on blade element momentum theory, finite-element load dynamics model, electrical generator model (MATLAB/Simulink), and hybrid intelligent control model (MATLAB/Simulink and Python). The control strategy is based on three concepts: constrained predictive optimization in Model Predictive Control, adaptive policy learning in Reinforcement Learning and global parameter tuning in Genetic Algorithms. The validation of the benchmark is carried out using a Proportional-integral-derivative baseline and turbine dynamic behavior consistent with OpenFAST to ensure the physical realism of the benchmark. The simulation results show that the proposed method provides a power improvement of about 12.3% compared to the conventional method and reduces the structural loads and electrical fluctuation by nearly 30% in various wind regimes. The proposed framework is compared with the existing Model Predictive Control and Reinforcement Learning only approaches, which are not capable of real-time optimization for aerodynamic, structural, and electrical coupling. The findings validate the effectiveness of the proposed approach for next-generation offshore wind turbine control systems for highly variable wind conditions.]]></description>
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        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1859498</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1859498</link>
        <title><![CDATA[Analysis and Laplace transformation for 2D temporal arbitrary order Rayleigh Stokes problem for a heated generalized second grade fluid equation]]></title>
        <pubdate>2026-07-01T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Madiha Batool</author><author>Amal Alshabanat</author><author>Saifudin Hafiz Yahaya</author><author>Umair Ali</author><author>Hijaz Ahmad</author>
        <description><![CDATA[In this work, an efficient computational scheme for handling the two-dimensional time-fractional Rayleigh-Stokes problem is presented. The Riemann–Liouville fractional derivative operator is used to simulate temporal memory effects in fluid dynamics. Two major innovations are included in the proposed methodology: first, the Laplace transform is used to convert the Riemann–Liouville fractional derivative into an equivalent integer-order formulation; then, a finite difference scheme for extremely accurate temporal and spatial discretization is developed. To verify the reliability of the chosen numerical scheme, thorough stability and consistency analyses are carried out. The method’s accuracy and computing efficiency are demonstrated by numerical experiments, and the comparison outcomes are in good agreement with current methods. A trustworthy and effective computational tool for simulating fractional fluid flow phenomena governed by nonlocal temporal dynamics is offered by the proposed framework.]]></description>
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        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1766941</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1766941</link>
        <title><![CDATA[A fiber bundle model for compressive failures of compacted Antarctic snow]]></title>
        <pubdate>2026-05-29T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Enzhao Xiao</author><author>Shengquan Li</author><author>Hao Wang</author><author>Biao Hu</author><author>Xueyuan Tang</author><author>Bo Sun</author><author>Fan Zhang</author><author>Yihe Wang</author>
        <description><![CDATA[Compressive failures of snow pose significant challenges in snow engineering, particularly for snow roads and runways. Analyzing their microstructural evolution under compression is critical for predicting failure mechanisms and improving design reliability. By simplifying the variations in snow microstructural characteristics, the fiber bundle model (FBM) ensures computational efficiency while accounting for the effects of microstructure evolution, thus providing insights into the macroscopic failure behavior of snow. FBM has been successfully applied to simulate shear failure in snow. However, its application to snow compressive failure has rarely been studied. In this paper, FBM was enhanced by incorporating the following features: (a) an increase in the fiber number corresponding to the lateral expansion of the snow sample; (b) an increase in fiber properties as snow densification during compression; (c) a load-dependent probability of fractured fiber sintering to represent the pressure sintering effect; and (d) a damage coefficient that gradually accumulated with increasing strain to account for the micro-crack effect in the ice matrix. By incorporating these physical mechanism-based features, the model replicated the loading rate-dependent characteristics observed in uniaxial compressive experiments of compacted Antarctic snow and showed great potential for understanding and modeling microstructural changes and macroscopic load responses associated with snow compressive failures.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1807760</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1807760</link>
        <title><![CDATA[Forced variable-coefficient Kawahara equations: closed-form traveling waves via tanh–coth and elliptic ansätze]]></title>
        <pubdate>2026-05-21T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>César A. Gómez S.</author><author>Álvaro H. Salas S.</author><author>Simeón Casanova Trujillo</author>
        <description><![CDATA[We investigated a forced variable-coefficient Kawahara equation as a non-autonomous extension of a classical fifth-order dispersive model arising in nonlinear wave propagation. Such equations are relevant in physical situations where the effective nonlinearity, dispersive balance, and external input vary with time, thereby generating wave dynamics that are not captured by the standard autonomous Kawahara equation. The main objective of this work was to derive explicit traveling-wave solutions and to clarify how temporal modulation and forcing affect the amplitude, baseline, phase, and propagation of the resulting wave structures. By introducing a traveling-wave variable with time-dependent phase together with a forcing primitive, the governing equation was reduced to ordinary differential equations amenable to exact symbolic analysis. Two complementary exact-solution procedures were then developed. First, an improved tanh–coth method based on a Riccati auxiliary equation was used to construct localized real-valued traveling-wave families. Second, an elliptic ansatz in terms of the Weierstrass ℘-function was employed to generate periodic solutions together with their solitary-wave degenerations. The obtained formulas yield explicit exact solutions and recover classical constant-coefficient Kawahara profiles as limiting cases. In addition, representative examples were examined using analytical formulas, numerical tables, and graphical diagnostics to illustrate the qualitative distinction between oscillatory forcing, decaying forcing, and the autonomous unforced regime. The results provide analytical benchmarks for forced dispersive models with time-dependent coefficients and establish a unified exact-solution framework for a broad class of non-autonomous Kawahara-type equations.]]></description>
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        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1784051</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1784051</link>
        <title><![CDATA[Thermal analysis of mass concrete structures with cooling pipes by an adaptive moving Kriging method]]></title>
        <pubdate>2026-05-13T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Feng Zhang</author><author>Qingwen Li</author><author>FuXian Zhu</author>
        <description><![CDATA[Numerical simulation of the temperature field in massive concrete with embedded cooling water pipes is of great engineering significance for temperature control, crack prevention, and optimization of cooling strategies. To obtain an accurate temperature field, conventional finite element approaches often require local mesh refinement in regions with steep thermal gradients near the pipe wall, which makes model construction cumbersome. To overcome the dependence on mesh generation, this study couples a local weak-form Moving Kriging (MK) interpolation method with a moving mesh partial differential equation (MMPDE) approach for the thermal analysis of pipe cooled concrete. By exploiting the smoothness and differentiability of the Gaussian basis function, the proposed MK approximation is able to represent the continuous temperature field with sharp gradients in the vicinity of cooling pipes. Meanwhile, the MMPDE method constructs a metric tensor from the Hessian of the temperature field, thereby automatically driving nodes to concentrate in regions where the numerical solution varies rapidly. As a result, strong-gradient-induced numerical oscillations and excessive errors can be effectively suppressed without a significant increase in the degrees of freedom. Numerical results demonstrate that, compared with conventional fixed node distributions, the proposed algorithm achieves higher accuracy and improved stability.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1709293</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1709293</link>
        <title><![CDATA[Geometry of generated quasi-ruled surfaces from their quasi-parallel curves according to the q-frame in R3]]></title>
        <pubdate>2026-04-20T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Samah Gaber</author><author>Entesar Eliwa</author><author>Fatimah Almujhim</author><author>Salma Alfadhel</author><author>Maram Almusayyib</author>
        <description><![CDATA[Parallel curves have been used extensively in a variety of fields during the last decade, including architecture, computer graphics, aerospace, and medicine. Despite these applications, the theoretical development of parallel curves in differential geometry has been relatively limited. In this study, we investigate parallel curves using the q-frame in three-dimensional Euclidean space, rather than the traditional Frenet frame. We introduce the new expression “quasi-parallel curves” as a generalization of classical parallel curves. We also examine several geometric properties of these curves and provide rigorous proofs. In differential geometry, ruled surfaces are of great importance. They are defined by the movement of generators, which generate straight lines on the surface. Furthermore, a directrix (base curve) is any curve that intersects all generators (rulings). In this paper, we investigate a new class of quasi-ruled surfaces whose base curve is both the original curve and its quasi-parallel curve in R3. We describe the geometric characteristics of these surfaces and derive the first and second fundamental forms, as well as the Gaussian and mean curvatures. Specific types of quasi-ruled surfaces are analyzed, and conditions for their developability and minimality are established. Several quasi-ruled surfaces generated from the helix curve as a base curve and others generated from its quasi-parallel curve as a base curve are provided, and the parametrization of the resulting surfaces are determined. Finally, all generated surfaces, together with their quasi-parallel and original curves, are visualized using Mathematica 13.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1762827</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1762827</link>
        <title><![CDATA[Mathematical analysis of fractional-order convection–reaction–diffusion equations under the Caputo fractional derivative]]></title>
        <pubdate>2026-03-31T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Mashael M. AlBaidani</author>
        <description><![CDATA[The main objective of this study is to employ two unique methods to approximately solve time-fractional convection–reaction–diffusion equations (CRDEs). The suggested techniques combine the Adomian decomposition approach, the homotopy perturbation method, and the Yang transform. He’s polynomials and Adomian polynomials are employed to address the nonlinearity that develops in our assumed problems. To clarify the efficacy of the employed schemes, three test examples are taken into account. This article considers sophisticated approaches and the fractional operator in this aspect to obtain satisfactory approximations to the provided problems. We first build the Yang transforms of the Caputo fractional derivative and apply them for CRDEs to obtain improved approximations after a finite number of iterations. The two suggested methods are used to generate some extremely accurate analytical approximations. The approximations obtained through these methods are represented as convergent series solutions. The solution obtained using the suggested methods converges at the desired rate to the precise solution. To show the usefulness of the offered techniques, we provide some graphical representations of the precise and analytical results, which are in excellent agreement with one another. In addition, we used several tables for different fractional orders to visually represent the physical behavior of the approximate solution. The convergence of the fractional solutions towards integer-order solutions is examined for the efficacy of the current strategies. The proposed methods are validated by solving four important cases. The suggested solutions are proven to be very effective, straightforward, and appropriate for other nonlinear issues raised in science and engineering.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1819044</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1819044</link>
        <title><![CDATA[Retraction: Novel microstructural features on heat and mass transfer in peristaltic flow through a curved channel]]></title>
        <pubdate>2026-03-06T00:00:00Z</pubdate>
        <category>Retraction</category>
        
        <description></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2026.1792548</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2026.1792548</link>
        <title><![CDATA[A local meshless method for the one-dimensional Fisher’s equation]]></title>
        <pubdate>2026-02-17T00:00:00Z</pubdate>
        <category>Brief Research Report</category>
        <author>Jianjun Cao</author><author>Bailing An</author><author>Enran Hou</author><author>Fuzhang Wang</author>
        <description><![CDATA[This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The method leverages the Gaussian basis’s nonlinear fitting capability, the sparsity of the local scheme to avoid ill-conditioned matrices, and the simplicity of collocation. After time discretization using a finite difference scheme, the method constructs local approximations at each collocation point using G-RBFs over small subsets of neighboring nodes. Numerical experiments confirm its effectiveness in solving Fisher-type problems, with errors decreasing smoothly as collocation points increase and maintaining stable accuracy over time. The proposed method demonstrates computational efficiency, robustness, and potential for handling large-scale reaction-diffusion systems.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1713083</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1713083</link>
        <title><![CDATA[Features of Chinese copper future return: based on a markov network approach]]></title>
        <pubdate>2025-12-19T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Hongkun Zhao</author><author>Qishen Chen</author><author>Yanfei Zhang</author><author>Kun Wang</author><author>Liuguo Shao</author><author>Chenghong Shang</author><author>Hua Zhang</author><author>Ye Zhang</author><author>Dan Song</author>
        <description><![CDATA[IntroductionCopper has the dual attributes of industrial raw materials and financial assets, and its price formation mechanism presents complex non-linear characteristics under the dual role of supply and demand mechanism and financialization. The structural upgrading of industrial demand and the risk contagion effect in the futures market make it difficult to effectively analyze the fluctuation characteristics of copper price in the traditional linear analytical framework. Consequently, it is significant to explore the fluctuation characteristics of copper futures price from the perspective of complex system science.MethodsThis study employed complex network theory and the Markov switching model to develop a Markov network model of copper futures and to explore the evolving characteristics of copper prices.Results and discussionThis study finds that: (1) There are 243 price switch states in theory, but only 126 types of states actually occur. Among them, 33 high-frequency states account for 90% of the total number of times, indicating that price fluctuations are active and concentrated in a regular manner. (2) The average path length of network state transition is 5.4, and the symmetry coefficient is 0.99, which shows that the transition efficiency is high but the path is highly asymmetric. (3) There are some nodes with low degree centrality and high betweenness centrality in the network, which act as mediators in the network, connecting the transitions between states. (4) The network has a significant association structure, and we find that the state nodes have a relatively obvious “rich club” effect. This study reveals that the nonlinear dynamics and network structures of copper future return.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1672745</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1672745</link>
        <title><![CDATA[Simulating gravitational dynamics via scalar field propagation]]></title>
        <pubdate>2025-11-11T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Brendan Toupin</author>
        <description><![CDATA[IntroductionWe study whether gravity-like kinematics (bending, time-delay, redshift-like shifts, capture/orbits) can arise as media analogs from a deterministic scalar-field propagation model without invoking mass or spacetime curvature.MethodsWe evolve a real scalar field under a spatially varying symmetric positive-definite transport tensor R(x) and non-negative damping field Λ(x); with source off (S≡0). Thirteen simulations quantify deflection, transit delay with escape thresholds, collapse/trapping and orbital containment, anisotropy-induced drift, repulsion under curvature inversion, and interference. We monitor energy budgets (Rayleigh loss + boundary flux) and check spectral safety and robustness.ResultsObservables are reproducible on 256 × 256 grids with 512 × 512 confirmations for key cases. Bending scales with ∥∇R∥ and flips sign under gradient reversal; transit delay increases monotonically with ∫Λdx and can prevent exit; bounded orbits satisfy a/p≤1.15 over a finite capture band; radial drift in 1/r2 profiles follows |r ̇|∝r^(-α) with a≈2; transverse drift sign matches sign(Rxy); interference visibility follows a cosine in relative phase.DiscussionResults constitute operational gravitational analogs—transport and loss in structured media—rather than statements about spacetime curvature. We release code/configs/outputs for full reproducibility and outline laboratory test paths.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1667224</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1667224</link>
        <title><![CDATA[Equilibrium trajectories quantify second-order violations of the fluctuation–dissipation theorem without the need for a model]]></title>
        <pubdate>2025-10-21T00:00:00Z</pubdate>
        <category>Brief Research Report</category>
        <author>Juliana Caspers</author><author>Karthika Krishna Kumar</author><author>Clemens Bechinger</author><author>Matthias Krüger</author>
        <description><![CDATA[Quantifying and characterizing fluctuations far away from equilibrium is a challenging task. We discuss and experimentally confirm a series expansion for a driven classical system, relating the different nonequilibrium cumulants of the observable conjugate to the driving protocol. This series is valid from micro- to macroscopic length scales, and it encompasses the fluctuation–dissipation theorem (FDT). We apply it in experiments of a Brownian probe particle confined and driven by an optical potential and suspended in a nonlinear and non-Markovian fluid. The expansion states that the form of the FDT remains valid away from equilibrium for Gaussian observables, up to the order presented. We show that this expansion agrees with that of a known fluctuation theorem up to an unresolved difference regarding moments versus cumulants.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1694078</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1694078</link>
        <title><![CDATA[PLGA–PEG–PLGA self-aggregation study via fragment dissipative particle dynamics and quantum determined interaction parameters]]></title>
        <pubdate>2025-10-20T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>A. A. Coreno-Cortés</author><author>M. A. Cortés-Cuán</author><author>I. Santamaría-Holek</author>
        <description><![CDATA[In this work, we used Conductor-like Screening Model for Real Solvents (COSMO-RS) to calculate the parameters that characterize the interactions between molecular segments in a coarse-grained representation of the PLGA–PEG–PLGA mesomolecule. The computed activity coefficients at infinite dilution were then used to obtain the thermodynamic Flory–Huggins interaction parameters, which were subsequently transferred to Dissipative Particle Dynamics simulations. In these simulations, beads interact through repulsive conservative parameters to investigate the self-aggregation of the PLGA–PEG–PLGA triblock copolymer. The parameters were then applied in Dissipative Particle Dynamics (DPD) simulations at varying copolymer concentrations. Self assembling at different concentrations was studied. Transitions from core-shell spherical micelles to onion-like, columnar and lamellar structures were obtained in terms of copolymer concentration, setting the optimal concentration range for different drug loaded vehicles.]]></description>
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        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1618853</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1618853</link>
        <title><![CDATA[Proposal for statistical mechanics-based UV regularization using fermion-boson transition functions]]></title>
        <pubdate>2025-09-24T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Hirokazu Maruyama</author>
        <description><![CDATA[IntroductionWe propose a statistical‐mechanics–based framework for UV regularization in QED/QFT by introducing energy‐dependent transition functions that interpolate fermionic and bosonic components.MethodsWe define logistic transition functions T(E) that continuously exchange degrees of freedom between γ_μ and ω_μ operators, and analyze gauge consistency via the Ward–Takahashi identities and BRST symmetry.ResultsThe transition functions act as a smooth, gauge‐safe soft cutoff that exponentially suppresses UV contributions while preserving transversality. We illustrate how longitudinal components are cancelled in internal lines without affecting observables.DiscussionThis approach offers a physical (statistical) interpretation of regularization, unifies several phenomena across energy scales, and is compatible with Lorentz and gauge symmetries. Extensions to non‐Abelian theories and relations to mass generation mechanisms are outlined.RationaleThese points correspond to Supplementary sections S9, S11–S19, S20, etc.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1637491</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1637491</link>
        <title><![CDATA[Soliton dynamics and stability in the Boussinesq equation for shallow water applications]]></title>
        <pubdate>2025-09-16T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Khizar Farooq</author><author>Fehaid Salem Alshammari</author><author>Zhao Li</author><author>Ejaz Hussain</author>
        <description><![CDATA[This manuscript deals with the Fourth-order Boussinesq water wave equation, which is integrable and possesses soliton solutions. Boussinesq water wave equation is a vital tool for investigating nonlinear phenomena in various waves and shallow water phenomena in fluid dynamics, such as diffraction, refraction, weak nonlinearity, and shoaling. Along with fluid dynamics, it is essential in many disciplines of physics, including the transmission of long waves in shallow waters, vibrations in a nonlinear string, acoustics, laser optics, and one-dimensional nonlinear lattice waves. The Generalized Arnous approach, the new Kudryashov method, and the Modified Sub-equation method are applied to this objective. The resultant diverse solutions consist of trigonometric and hyperbolic functions. These approaches generate accurate analytical curves for soliton waves, which comprise kink, bright, and dark waves. The graphical aspects of the produced solutions are investigated using 3D-surface graphs, 2D-line graphs, and contour and polar plots, in addition to theoretical derivations. This work is novel in its integrated use of three symbolic methods to derive a broad spectrum of exact soliton solutions for the fourth-order Integrated Boussinesq water wave equation, including compound and hybrid waveforms. The inclusion of the graphical visualization, stability analysis, and open source code resources further strengthens its contribution to nonlinear wave modeling.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1643656</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1643656</link>
        <title><![CDATA[Editorial: Advances in information geometry: beyond the conventional approach]]></title>
        <pubdate>2025-08-22T00:00:00Z</pubdate>
        <category>Editorial</category>
        <author>F. M. Ciaglia</author><author>F. Di Cosmo</author><author>A. Ibort</author><author>J. Suzuki</author>
        <description></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1596130</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1596130</link>
        <title><![CDATA[An evolution model for urban rail transit hyper networks based on allometric growth relationship]]></title>
        <pubdate>2025-08-08T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Zehua Zhang</author><author>Ruining Wei</author><author>Shumin Feng</author><author>Lei Xu</author><author>Fan Yang</author><author>Hao Liu</author><author>Yiqiang Jiang</author>
        <description><![CDATA[To address limitations of existing urban rail transit (URT) evolution models—including static selection mechanisms, inadequate adaptability across stages, and simplistic validation—this study proposes a dynamically optimized hypernetwork evolution model. By introducing a time decay factor γ, the model achieves a smooth transition from “scale-free preferential attachment” to “random connection” under the constraint of a fixed growth rate difference (GRD) between nodes. We construct a URT hyper network (stations as nodes, lines as hyper edges) and derive dynamic equations for node hyper degree and hyper edge hyper degree. Empirical validation using subway network data from Beijing, Shanghai, and Guangzhou (222–378 stations) was conducted via Python simulations, with model efficacy evaluated through Kolmogorov-Smirnov (K-S) tests and multi-index comparisons. Key findings include: Simulated topological features (e.g., degree distribution, hyper degree distribution) align closely with real networks (K-S test p > 0.05); Node hyper degree distribution evolves from power-law (early stage) to exponential (mature stage), consistent with empirical observations; The dynamic decay mechanism enhances adaptability (e.g., 15% increase in random connection probability per decade at γ = 0.1). This model provides a dynamic optimization tool for URT planning, particularly in hub layout design and network robustness enhancement.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1569121</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1569121</link>
        <title><![CDATA[Cardiac dynamics of a human ventricular tissue model with a focus on early afterdepolarizations]]></title>
        <pubdate>2025-07-30T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>André H. Erhardt</author>
        <description><![CDATA[This study aims to investigate the computationally complex cardiac dynamics of the well-known human ventricular model of Ten Tusscher and Panfilov from 2006. The corresponding physical system of the cellular model is described by a set of nonlinear differential equations containing various system parameters. If one or a set of specific system parameters crosses a certain threshold, the system is forced to change dynamics, which might result in dangerous cardiac dynamics and can be precursors to cardiac death. To perform an efficient numerical analysis, the original model is revised and simplified such that the modified models perfectly match the trajectory (time-dependent cardiac potential) of the original model. Moreover, it is demonstrated that the reduced models have the same dynamics. Furthermore, using the lowest dimensional model, it is shown by means of bifurcation analysis that combinations of reduced slow and rapid potassium currents and an enhanced calcium current may lead to early afterdepolarizations, which are pathological voltage oscillations during the repolarization or plateau phase of cardiac action potentials and are considered potential precursors to cardiac arrhythmia. Finally, to outline synchronization effects and pattern formation on a larger scale (macro scale), a two-dimensional epicardial monodomain equation is studied.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1631259</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1631259</link>
        <title><![CDATA[An efficient explicit group method for time fractional Burgers equation]]></title>
        <pubdate>2025-07-29T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Fouad Mohammad Salama</author>
        <description><![CDATA[Fractional Burgers-type equations are essential mathematical models for describing the cumulative effect of wall friction through the boundary layer, along with the unidirectional propagation of weakly nonlinear acoustic waves. It is a major challenge to develop efficient, stable, and accurate numerical schemes that simulate the corresponding complex physical phenomena due to the nonlinearity and nonlocality properties in these equations. The objective of this article is to design a linearized modified fractional explicit group method for solving the two-dimensional time-fractional Burgers equation with suitable initial and boundary conditions. For the construction of the proposed method, the L1 discretization formula is used to handle the fractional temporal derivative, whereas a linearized difference scheme on a coarse mesh is employed to approximate the spatial derivatives. Meanwhile, a linearized Crank–Nicolson difference method (LCNDM) is formulated for checking the efficiency of the proposed method. The stability and convergence of the presented methods are rigorously studied and proven. Numerical simulations are performed, and the results are reported in terms of error norm and CPU time, demonstrating that the linearized grouping method reduces computation time by 70%–90% while maintaining comparable accuracy to the linearized Crank–Nicolson method in solving the time-fractional Burgers model.]]></description>
      </item><item>
        <guid isPermaLink="true">https://www.frontiersin.org/articles/10.3389/fphy.2025.1569964</guid>
        <link>https://www.frontiersin.org/articles/10.3389/fphy.2025.1569964</link>
        <title><![CDATA[Analytical solutions for the forced KdV equation with variable coefficients]]></title>
        <pubdate>2025-05-09T00:00:00Z</pubdate>
        <category>Original Research</category>
        <author>Ji Wang</author><author>Jia Fu</author><author>Jialin Dai</author>
        <description><![CDATA[This paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids. By combining the direct similarity reduction-based CK method with the (G'/G) expansion method, three new similarity solutions are obtained for this variable-coefficient forced KdV equation.]]></description>
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