Energy flux distribution in a two-temperature Ising model

TL;DR

This paper analyzes the nonequilibrium steady state of an infinite-range two-temperature Ising model, deriving exact energy flux distributions and visualizing phase space probability flows.

Contribution

It provides an exact solution for the steady state and energy current distribution in a two-temperature Ising model, advancing understanding of nonequilibrium statistical mechanics.

Findings

Exact probability distribution of energy current obtained

Steady state dynamics solved exactly in the thermodynamic limit

Visualization of phase space probability flow achieved

Abstract

The nonequilibrium steady state of an infinite-range Ising model is studied. The steady state is obtained by dividing the spins into two groups and attaching them to two heat baths generating spin flips at different temperatures. In the thermodynamic limit, the resulting dynamics can be solved exactly, and the probability flow in the phase space can be visualized. We can calculate the steady state fluctuations far from equilibrium and, in particular, we find the exact probability distribution of the energy current in both the high- and low-temperature phase.