The Onsager-Machlup Integral for Non-reciprocal Systems with Odd Elasticity

TL;DR

This paper applies the Onsager-Machlup variational principle to model the stochastic dynamics of micromachines with odd elasticity, revealing non-reciprocal behavior and its connection to entropy production.

Contribution

It introduces a novel application of the Onsager-Machlup integral to systems with odd elasticity, highlighting non-reciprocal paths and their thermodynamic implications.

Findings

Most probable paths become non-reciprocal with odd elasticity.

The non-reciprocal paths are related to entropy production.

The variational principle effectively describes stochastic dynamics of micromachines.

Abstract

The variational principle of the Onsager-Machlup integral is used to describe the stochastic dynamics of a micromachine, such as an enzyme, characterized by odd elasticity. The obtained most probable path is found to become non-reciprocal in the presence of odd elasticity and is further related to the entropy production.