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=5 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 τ as a parameter of the model and show that there is a critical τ = τ* 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.