Universal features of nonequilibrium Ising models in contact with two thermal reservoirs

Fuente: arXiv
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Autores principales: Mamede, Iago N., Cleuren, Bart, Fiore, Carlos. E.
Formato: Preprint
Publicado: 2026
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author Mamede, Iago N.
Cleuren, Bart
Fiore, Carlos. E.
author_facet Mamede, Iago N.
Cleuren, Bart
Fiore, Carlos. E.
contents We derive generic properties of nonequilibrium phase transitions in all-to-all Ising models placed in contact with two thermal reservoirs, in which parameters (temperatures, interactions and field parameters) assume arbitrary values depending on the contact with each thermal bath. The presence of different kinds of external parameters leads to remarkably different sort of phase transitions. While continuous, discontinuous and even tricritical points are presented when external parameters are symmetric (e.g. the case of energetic barriers or different couplings between the system and thermal baths), the tricriticality is absent when external parameters are antisymmetric (e.g. the case of magnetic fields or biased drivings) implying that solely critical or discontinuous are possible. In such latter case, the probability distribution acquires the Boltzmann-Gibbs like form, irrespectively the model parameters when the switching between thermal reservoirs is sufficiently fast. Our work sheds light about the differences between equilibrium and nonequilibrium ingredients and theirs consequences upon phase transitions.
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id arxiv_https___arxiv_org_abs_2604_01926
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Universal features of nonequilibrium Ising models in contact with two thermal reservoirs
Mamede, Iago N.
Cleuren, Bart
Fiore, Carlos. E.
Statistical Mechanics
We derive generic properties of nonequilibrium phase transitions in all-to-all Ising models placed in contact with two thermal reservoirs, in which parameters (temperatures, interactions and field parameters) assume arbitrary values depending on the contact with each thermal bath. The presence of different kinds of external parameters leads to remarkably different sort of phase transitions. While continuous, discontinuous and even tricritical points are presented when external parameters are symmetric (e.g. the case of energetic barriers or different couplings between the system and thermal baths), the tricriticality is absent when external parameters are antisymmetric (e.g. the case of magnetic fields or biased drivings) implying that solely critical or discontinuous are possible. In such latter case, the probability distribution acquires the Boltzmann-Gibbs like form, irrespectively the model parameters when the switching between thermal reservoirs is sufficiently fast. Our work sheds light about the differences between equilibrium and nonequilibrium ingredients and theirs consequences upon phase transitions.
title Universal features of nonequilibrium Ising models in contact with two thermal reservoirs
topic Statistical Mechanics
url https://arxiv.org/abs/2604.01926