Influence of distinct kinds of temporal disorder in discontinuous phase transitions

TL;DR

This paper explores how different types of temporal disorder influence discontinuous phase transitions, extending previous work beyond absorbing states and analyzing effects in both mean-field and complex network topologies.

Contribution

It provides a general theoretical framework for understanding temporal disorder in various discontinuous phase transitions, including non-absorbing cases, and compares effects across different disorder types and network structures.

Findings

Temporal disorder does not eliminate discontinuous phase transitions.

Differences between disorder types are significant beyond mean-field approximations.

Results are validated on random-regular complex networks.

Abstract

Based on the MFT arguments, a general description for discontinuous phase transitions in the presence temporal disorder is considered. Our analysis extends the recent findings [Phys. Rev. E {\bf 98}, 032129 (2018)] by considering other kinds of phase transitions beyond the absorbing ones. The theory is exemplified in one of the simplest (nonequilibrium) order disorder (discontinuous) phase transition with "up-down" $Z_2$ symmetry: the inertial majority vote (IMV) model for two kinds of temporal disorder. As for the APT case, the temporal disorder does not suppress the occurrence of discontinuous phase transitions, but remarkable differences emerge when compared with the pure case. A comparison between the distinct kinds of temporal disorder is also performed beyond the MFT for random-regular (RR) complex topologies.