Finite-size scaling for discontinuous nonequilibrium phase transitions

Abstract

A finite size scaling theory, originally developed only for transitions to absorbing states [Phys. Rev. E {\bf 92}, 062126 (2015)], is extended to distinct sorts of discontinuous nonequilibrium phase transitions. Expressions for quantities such as, response functions, reduced cumulants and equal area probability distributions, are derived from phenomenological arguments. Irrespective of system details, all these quantities scale with the volume, establishing the dependence on size. The approach generality is illustrated through the analysis of different models. The present results are a relevant step in trying to unify the scaling behavior description of nonequilibrium transition processes.

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• Abrupt transition due to non-local cascade propagation in multiplex systems
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Majority-vote model with limited visibility: an investigation into filter bubbles
• Short-time Monte Carlo simulation of the majority-vote model on cubic lattices
• Influence of distinct kinds of temporal disorder in discontinuous phase transitions