Localization in boundary-driven lattice models

Fuente: arXiv
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Autores principales: Giusfredi, Michele, Iubini, Stefano, Politi, Paolo
Formato: Preprint
Publicado: 2024
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author Giusfredi, Michele
Iubini, Stefano
Politi, Paolo
author_facet Giusfredi, Michele
Iubini, Stefano
Politi, Paolo
contents Several systems display an equilibrium condensation transition, where a finite fraction of a conserved quantity is spatially localized. The presence of two conservation laws may induce the emergence of such transition in an out-of-equilibrium setup, where boundaries are attached to different and subcritical heat baths. We study this phenomenon in a class of stochastic lattice models, where the local energy is a general convex function of the local mass, mass and energy being both globally conserved in the isolated system. We obtain exact results for the nonequilibrium steady state (spatial profiles, mass and energy currents, Onsager coefficients) and we highlight important differences between equilibrium and out-of-equilibrium condensation.
format Preprint
id arxiv_https___arxiv_org_abs_2404_12159
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Localization in boundary-driven lattice models
Giusfredi, Michele
Iubini, Stefano
Politi, Paolo
Statistical Mechanics
Several systems display an equilibrium condensation transition, where a finite fraction of a conserved quantity is spatially localized. The presence of two conservation laws may induce the emergence of such transition in an out-of-equilibrium setup, where boundaries are attached to different and subcritical heat baths. We study this phenomenon in a class of stochastic lattice models, where the local energy is a general convex function of the local mass, mass and energy being both globally conserved in the isolated system. We obtain exact results for the nonequilibrium steady state (spatial profiles, mass and energy currents, Onsager coefficients) and we highlight important differences between equilibrium and out-of-equilibrium condensation.
title Localization in boundary-driven lattice models
topic Statistical Mechanics
url https://arxiv.org/abs/2404.12159