Collective Dynamics from Stochastic Thermodynamics

TL;DR

This paper derives equations describing collective dynamics near phase transitions in coupled oscillator models using stochastic thermodynamics, highlighting the role of irreversible work in these processes.

Contribution

It introduces a novel thermodynamic framework to analyze collective behavior in oscillator models, linking irreversible work to macroscopic dynamics.

Findings

Derived equations for collective dynamics near phase transitions.

Identified irreversible work as a key factor in these equations.

Applied generalized irreversible work concept to the Kuramoto model.

Abstract

From a viewpoint of stochastic thermodynamics, we derive equations that describe the collective dynamics near the order-disorder transition in the globally coupled XY model and near the synchronization-desynchronization transition in the Kuramoto model. A new way of thinking is to interpret the deterministic time evolution of a macroscopic variable as an external operation to a thermodynamic system. We then find that the irreversible work determines the equation for the collective dynamics. When analyzing the Kuramoto model, we employ a generalized concept of irreversible work which originates from a non-equilibrium identity associated with steady state thermodynamics.