Odd elasticity of a catalytic micromachine

TL;DR

This paper investigates the odd elastic properties of a catalytic micromachine through numerical simulations, revealing how broken time-reversal symmetry manifests in its structural dynamics and proposing a new measurement-based method to analyze nonequilibrium behavior.

Contribution

The study introduces a novel approach to quantify odd elasticity and nonequilibrium properties of micromachines using structural dynamics analysis.

Findings

Effective odd elastic constant identified.

Nonreciprocality behavior parallels odd elasticity.

Method enables extraction of nonequilibrium properties from structural data.

Abstract

We perform numerical simulations of a model micromachine driven by catalytic chemical reactions. Our model includes a mechano-chemical coupling between the structural variables and the nonequilibrium variable describing the catalytic reactions. The time-correlation functions of the structural variables are calculated and further analyzed in terms of odd Langevin dynamics. We obtain the effective odd elastic constant that manifests the broken time-reversal symmetry of a catalytic micromachine. Within the simulation, we separately estimate the quantity called nonreciprocality and show that its behavior is similar to that of the odd elasticity.Our approach suggests a new method to extract the nonequilibrium properties of a micromachine only by measuring its structural dynamics.