Interacting nonequilibrium systems with two temperatures


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.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2013 American Physical Society
Publication ISSN: 1550-2376
Last Modified: 01 May 2024 07:10
Date Deposited: 22 Jul 2013 10:06
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://link.aps ... sRevE.87.052123 (Publisher URL)
PURE Output Type: Article
Published Date: 2013-05-17
Authors: Alamino, Roberto C. (ORCID Profile 0000-0001-8224-2801)
Chattopadhyay, Amit (ORCID Profile 0000-0001-5499-6008)
Saad, David (ORCID Profile 0000-0001-9821-2623)



Version: Accepted Version

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