Energy Profile Fluctuations in Dissipative Nonequilibrium Stationary States

TL;DR

This paper calculates the large deviation function for energy fluctuations in a dissipative spin chain under nonequilibrium conditions, revealing independence from energy injection details and lack of spatial correlations.

Contribution

It provides an exact computation of the large deviation function for energy fluctuations in dissipative nonequilibrium spin systems, highlighting key differences from conservative systems.

Findings

Large deviation function is independent of energy injection details.

Energy fluctuations are not spatially correlated in the stationary state.

Results apply to Ising and Potts spin chains with dissipative dynamics.

Abstract

The exact large deviation function (ldf) for the fluctuations of the energy density field is computed for a chain of Ising (or more generally Potts) spins driven by a zero-temperature (dissipative) Glauber dynamics and sustained in a non trivial stationary regime by an arbitrary energy injection mechanism at the boundary of the system. It is found that this ldf is independent of the dynamical details of the energy injection, and that the energy fluctuations, unlike conservative systems in a nonequilibrium state, are not spatially correlated in the stationary regime.