Optimal protocols and the Jarzynski equality

Abstract

The Jarzynski Equality is a well-known and widely used identity, relating the free energy difference between two states of a system to the work done over some arbitrary, nonequilibrium transformation between the two states. Despite being valid for both stochastic and deterministic systems, we show that the optimal transformation protocol for the deterministic case seems to differ from that predicated from an analysis of the stochastic dynamics. In addition, it is shown that for certain situations, more dissipative processes can sometimes lead to better numerical results for the free energy differences.

9 pages, inc 3 figures Changed comment on relationship of our work to stochastic predictions

References in corpus (9)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Optimal finite-time processes in stochastic thermodynamics
• Rare events and the convergence of exponentially averaged work values
• Records in stochastic processes -- Theory and applications
• Escorted Free Energy Simulations: Improving Convergence by Reducing Dissipation
• On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example
• Computing the optimal protocol for finite-time processes in stochastic thermodynamics
• The Steady State Fluctuation Relation for the Dissipation Function
• On the use of stochastic differential geometry for non-equilibrium thermodynamics modeling and control