Finite-size scaling for discontinuous nonequilibrium phase transitions
Statistical Mechanics
2018-06-13 v1
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.
Cite
@article{arxiv.1804.00467,
title = {Finite-size scaling for discontinuous nonequilibrium phase transitions},
author = {Marcelo M. de Oliveira and M. G. E. da Luz and Carlos E. Fiore},
journal= {arXiv preprint arXiv:1804.00467},
year = {2018}
}