title: Interacting nonequilibrium systems with two temperatures.
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.
authors.affiliation: Non-linearity and Complexity Research Group, Aston University, Birmingham B4 7ET, United Kingdom.
authors.forename: Roberto C
authors.initials: RC
authors.lastname: Alamino
authors.forename: Amit
authors.initials: A
authors.lastname: Chattopadhyay
authors.forename: David
authors.initials: D
authors.lastname: Saad
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D060526:Magnetic Fields; D015233:Models, Statistical; D011789:Quantum Theory; D013696:Temperature