Skorupa Bartosz, Sznajd-Weron Katarzyna, Topolnicki Rafal
Institute of Theoretical Physics, University of Wrocław, plac Maxa Borna 9, 50-204 Wrocław, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 1):051113. doi: 10.1103/PhysRevE.86.051113. Epub 2012 Nov 13.
We consider generalized zero-temperature Glauber dynamics under a partially synchronous updating mode for a one-dimensional system. Using Monte Carlo simulations, we calculate the phase diagram and show that the system exhibits phase transition between the ferromagnetic and active antiferromagnetic phases. Moreover, we provide analytical calculations that allow us to understand the origin of the phase transition and confirm simulation results obtained earlier for synchronous updates.
我们考虑一维系统在部分同步更新模式下的广义零温度格劳伯动力学。通过蒙特卡罗模拟,我们计算了相图,并表明该系统在铁磁相和活性反铁磁相之间表现出相变。此外,我们提供了分析计算,使我们能够理解相变的起源,并证实了早期同步更新所获得的模拟结果。