Interacting nonequilibrium systems with two temperatures

Research output: Contribution to journalArticle

Abstract

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being interconnected with each other. Using generating functional analysis, commonly used in statistical mechanics, we find exactly soluble expressions for their individual magnetization that define a two-dimensional nonlinear map, the equations of which have the same form as those obtained for densely connected equilibrium systems. Steady states correspond to the fixed points of this map, separating the parameter space into a rich set of nonequilibrium phases that we analyze in asymptotically high and low (nonequilibrium) temperature limits. The theoretical formalism is shown to revert to the classical nonequilibrium steady state problem for two interacting systems with a nonzero heat transfer between them that catalyzes a phase transition between ambient nonequilibrium states.
Original languageEnglish
Article number052123
Number of pages7
JournalPhysical Review E
Volume87
Issue number5
DOIs
Publication statusPublished - 17 May 2013

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Nonequilibrium Systems
Non-equilibrium
functional analysis
statistical mechanics
baths
Nonlinear Map
Nonequilibrium Steady State
heat transfer
Functional Analysis
formalism
Statistical Mechanics
Magnetization
magnetization
temperature
Parameter Space
Heat Transfer
Phase Transition
Fixed point
Model

Bibliographical note

©2013 American Physical Society

Cite this

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Interacting nonequilibrium systems with two temperatures. / Alamino, Roberto C.; Chattopadhyay, Amit; Saad, David.

In: Physical Review E, Vol. 87, No. 5, 052123, 17.05.2013.

Research output: Contribution to journalArticle

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