Stochastic thermodynamics of a tagged particle within a harmonic chain

TL;DR

This paper investigates the stochastic thermodynamics of a harmonic chain, revealing that memory effects can cause transient negative entropy production rates when an oscillating force is applied.

Contribution

It introduces a detailed analysis of energy dissipation and entropy production in both Markovian and non-Markovian descriptions of a harmonic chain, highlighting novel transient negative entropy production phenomena.

Findings

Average entropy production rate can be transiently negative.

Memory effects lead to non-trivial thermodynamic behavior.

Analysis applies to both Markovian and non-Markovian models.

Abstract

We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a 1D Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system: the Markovian level for which the trajectories of all the particles of the chain are known and the non-Markovian level in which only the motion of a tagged particle is available. For each case, we analyze the energy dissipation and its dependence on initial conditions. Surprisingly, we find that the average coarse-grained entropy production rate can become transiently negative when an oscillating force is applied to the tagged particle. This occurs due to memory effects as shown in a framework based on path integrals or on a generalized Langevin equation.