Exact Nonequilibrium Work Generating Function for a Small Classical System
W. A. M. Morgado, D. O. Soares-Pinto
TL;DR
This paper derives an exact nonequilibrium work generating function for a small classical system with a Brownian particle, confirming the Jarzynski equality holds exactly regardless of the work rate.
Contribution
The authors present an exact calculation of the nonequilibrium work generating function for a specific small system, demonstrating the validity of the Jarzynski equality in this context.
Findings
Exact NEWGF derived for a Brownian particle system
Jarzynski equality verified exactly for finite-time work
Work rate does not affect the validity of JE in this model
Abstract
We obtain the exact nonequilibrium work generating function (NEWGF), for a small system consisting of a massive Brownian particle connected to internal and external springs. The external work is provided to the system for a finite time interval. The Jarzynski equality (JE), obtained in this case directly from the NEWGF, is shown to be valid for the present model, in an exact way regardless of the rate of external work.
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