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

Frontiers in Physics

Sznajd-Weron, Katarzyna¹  Marcjasz, Grzegorz² 

[1] Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wroclaw University of Science and Technology, Wrocław, Poland;Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wrocław, Poland

关键词: kinetic Ising model;    Metropolis algorithm;    phase transitions;    complex networks;    temporal networks;    opinion dynamics;   

DOI  :  10.3389/fphy.2017.00024

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

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.

【 授权许可】

CC BY