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Related Experiment Video

Updated: Jun 27, 2026

Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films

Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films

Published on: January 26, 2016

The glass transition and the Jarzynski equality.

Stephen R Williams¹, Debra J Searles, Denis J Evans

¹Research School of Chemistry, The Australian National University, Canberra, Australian Capital Territory 0200, Australia. swilliams@rsc.anu.edu.au

The Journal of Chemical Physics

|December 3, 2008

Summary

This study explores the Jarzynski equality in glass formation. New variations of the equality are derived to accurately calculate free energy differences in history-dependent glassy states, ensuring consistency with thermodynamic laws.

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Area of Science:

Statistical Mechanics
Condensed Matter Physics

Background:

Liquids transitioning to glassy states exhibit history-dependent behavior.
The Jarzynski equality is a key tool for calculating free energy differences from nonequilibrium processes.

Purpose of the Study:

Investigate the applicability of the Jarzynski equality to glass formation.
Develop modified Jarzynski equalities for nonequilibrium glassy states.

Main Methods:

Utilized a simple double-well potential model to simulate liquid quenching.
Derived novel variations of the Jarzynski equality.

Main Results:

Demonstrated that the standard Jarzynski equality yields equilibrium free energy differences.
Derived new Jarzynski equality variations applicable to history-dependent glassy states.

Conclusions:

The derived Jarzynski equality variations are consistent with standard entropy expressions and the second law of thermodynamics.
Accurate computation of free energy differences in nonequilibrium glassy states is achievable.