AUTHOR=Marcjasz Grzegorz , Sznajd-Weron Katarzyna 

TITLE=Phase Transitions in the Kinetic Ising Model on the Temporal Directed Random Regular Graph

JOURNAL=Frontiers in Physics

VOLUME=Volume 5 - 2017

YEAR=2017

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2017.00024

DOI=10.3389/fphy.2017.00024

ISSN=2296-424X

ABSTRACT=We investigate a kinetic Ising model with the Metropolis algorithm on the temporal directed random $q$-regular graph. We introduce a rewiring time $\tau$ as a parameter of the model and show that there is a critical $\tau=\tau^*$ above which the model exhibits continuous order-disorder phase transition and  below which the transition is discontinuous. We discuss our findings in a light of the very recent results obtained for a generalized kinetic Ising model on quenched and annealed networks.