ORIGINAL RESEARCH article
Front. Complex Syst.
Sec. Multi- and Cross-Disciplinary Complexity
Volume 3 - 2025 | doi: 10.3389/fcpxs.2025.1612998
Traces of Tricritical Dynamics Beyond SSB in Finite-Size Systems Undergoing Second-Order Phase Transition: The case of 3D-Ising Model
Provisionally accepted
Yiannis Contoyiannis1
Stelios M. Potirakis1*Stavros G Stavrinides2Michael P Hanias2
Pericles Papadopoulos1Niki-Lina Matiadou1- 1Department of Electrical and Electronics Engineering, University of West Attica, Athens, Greece
- 2Physics Department, Democritus University of Thrace, Kavala, Greece
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In finite-size thermal systems that exhibit second-order phase transition, the fluctuations of the order parameter, 𝜙 ! , obey to type I intermittent dynamics at their pseudocritical temperature, 𝑇 "# . Moreover, as recently demonstrated, Spontaneous Symmetry Breaking (SSB) is gradually completed as temperature is reduced until an "SSB completion temperature", 𝑇 $$% . Within this temperature zone, 𝜙 ! obey the dynamics of critical intermittency. This behavior has also been observed in preseismic fracture-induced electromagnetic emissions (FEME) of the MHz band, a real-world finitesize system undergoing a second-order phase transition. Interestingly, MHz FEME has recently been found to consistently present indications of tricritical dynamics after the SSB. In the present work we examine whether this could be true for a finite-size thermal system too. We conduct a numerical experiment for the 3D-Ising model at different temperatures by gradually reducing temperature beyond SSB, and analyze order parameter fluctuations using the method of critical fluctuations (MCF) and a recently introduced wavelet-based method for the detection of scaling behavior in noisy experimental data. Indeed, our results reveal that power-laws still exist within a very narrow zone of temperatures right after the SSB completion for the 3D-Ising model. These power-laws are shown to be compatible with another form of intermittency that determines the dynamics of the order parameter fluctuations close to the Griffiths tricritical point. As a possible interpretation of this finding, we suggest that our results imply that the 3D-Ising present, just below 𝑇 $$% , an imprint of approaching the Griffiths tricritical point from the second-order phase transition line.
Keywords: Spontaneous Symmetry Breaking, Critical Phenomena, phase transitions, Intermittency, Griffiths Tri-critical Point, 3D-Ising Model It has recently been shown that in such systems Beyond SSB, critical intermittency doesn't hold
Received: 16 Apr 2025; Accepted: 03 Jul 2025.
Copyright: © 2025 Contoyiannis, Potirakis, Stavrinides, Hanias, Papadopoulos and Matiadou. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Stelios M. Potirakis, Department of Electrical and Electronics Engineering, University of West Attica, Athens, 122 44, Greece
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