Yang-Lee and Fisher zeros generalized on some far-from-equilibrium systems

TL;DR

This paper generalizes the concept of Yang-Lee and Fisher zeros to far-from-equilibrium systems coupled with thermal baths, revealing complex behaviors in simplified models analogous to the Ising model.

Contribution

It introduces a novel generalization of partition function zeros for non-equilibrium systems, providing analytical results for minimal models with complex zero distributions.

Findings

Generalized zeros exhibit nontrivial distribution patterns

Models show behavior analogous to equilibrium Ising models

Analytical treatment of zeros in non-equilibrium settings

Abstract

A generalization of the Yang-Lee and Fisher zeros on far-from-equilibrium systems coupled with two thermal baths is proposed. The Yang-Lee zeros were obtained for minimal models which exhibit complicated behavior in the context of the partition function zeros and provide an analitycal treatment. This type of models may be considered as a simplest one and analogous to Ising model for equilibrium. The obtained distributions of generalized Yang-Lee zeros show nontrivial behavior for these simple models.