Characterizing dynamical transitions in bistable system using non-equilibrium measurement of work

TL;DR

This paper demonstrates how the Jarzynski relation can be used to analyze dynamical transitions in bistable systems through non-equilibrium work measurements, providing insights into phase transitions beyond equilibrium.

Contribution

It introduces a response function based on work distribution to characterize order-disorder and bifurcation transitions in bistable systems, valid in both linear and nonlinear regimes.

Findings

Response function effectively characterizes dynamical transitions.

Applicable in far-from-equilibrium conditions.

Valid for both linear and nonlinear regimes.

Abstract

We show how Jarzynski relation can be exploited to analyze the nature of order-disorder and a bifurcation type dynamical transition in terms of a response function derived on the basis of work distribution over non-equilibrium paths between two thermalized states. The validity of the response function extends over linear as well as nonlinear regime and far from equilibrium situations.