Encinas Jesus M, Fiore C E
Instituto de Física, Universidade de São Paulo, Caixa Postal 66318 05315-970 São Paulo, São Paulo, Brazil.
Phys Rev E. 2021 Mar;103(3-1):032124. doi: 10.1103/PhysRevE.103.032124.
Based on mean-field theory (MFT) arguments, a general description for discontinuous phase transitions in the presence of temporal disorder is considered. Our analysis extends the recent findings [C. E. Fiore et al., Phys. Rev. E 98, 032129 (2018)2470-004510.1103/PhysRevE.98.032129] by considering discontinuous phase transitions beyond those with a single absorbing state. The theory is exemplified in one of the simplest (nonequilibrium) order-disorder (discontinuous) phase transitions with "up-down" Z_{2} symmetry: the inertial majority vote model for two kinds of temporal disorder. As for absorbing phase transitions, the temporal disorder does not suppress the occurrence of discontinuous phase transitions, but remarkable differences emerge when compared with the pure (disorderless) case. A comparison between the distinct kinds of temporal disorder is also performed beyond the MFT for random-regular complex topologies. Our work paves the way for the study of a generic discontinuous phase transition under the influence of an arbitrary kind of temporal disorder.
基于平均场理论（MFT）的观点，我们考虑了在存在时间无序情况下对不连续相变的一般描述。我们的分析扩展了最近的研究结果[C. E. 菲奥雷等人，《物理评论E》98，032129（2018）2470 - 004510.1103/PhysRevE.98.032129]，考虑了除具有单一吸收态之外的不连续相变。该理论在具有“上下”Z₂对称性的最简单（非平衡）有序 - 无序（不连续）相变之一中得到例证：针对两种时间无序的惯性多数投票模型。至于吸收相变，时间无序并不会抑制不连续相变的发生，但与纯（无无序）情况相比会出现显著差异。对于随机 - 规则复杂拓扑结构，还在平均场理论之外对不同种类的时间无序进行了比较。我们的工作为研究任意种类时间无序影响下的一般不连续相变铺平了道路。
