Stochastic thermodynamics for Ising chain and symmetric exclusion process

TL;DR

This paper verifies the finite time fluctuation theorem for an Ising chain and explores its mapping to the symmetric exclusion process, analyzing thermal engine efficiency and universal features.

Contribution

It provides an analytic verification of the fluctuation theorem for a two-spin Ising chain and extends the symmetric exclusion process to model thermal engines.

Findings

Finite time fluctuation theorem verified for a two-spin Ising chain.

Mapped the Ising chain to a symmetric exclusion process with thermal and particle reservoirs.

Reproduced universal features of efficiency at maximum power in the modified model.

Abstract

We verify the finite time fluctuation theorem for a linear Ising chain at its ends in contact with heat reservoirs. Analytic results are derived for a chain consisting of only two spins. The system can be mapped onto a model for particle transport, namely the symmetric exclusion process, in contact with thermal and particle reservoirs. We modify the symmetric exclusion process to represent a thermal engine and reproduce universal features of the efficiency at maximum power.