Home » ECEA-4 » Section a: Statistical Physics » Paper

[] A lower bound on work extraction probability prescribed by nonequilibrium work relation

Kanagawa University
20 November 2017
104 views
0/5 rated ( 0 ratings )

Abstract


In nonequilibrium processes, work extraction from a system is subject to random fluctuations associated with the statistical distribution prescribed by its environment. The probability of extracting work above a given arbitrary threshold can be a measure of restriction imposed by experimental circumstances. We present a lower bound for the probability when the work value lies in a finite range. For the case of unrestricted maximum work, the lower bound gets larger as the free energy difference between initial and final states becomes larger. We point out also that an upper bound previously reported in the literature is a direct consequence of the well-known second mean value theorem for definite integrals.

Keywords

work extraction probability; nonequilibrium work relation; free energy difference

Cite this article as

Yamano, T. A lower bound on work extraction probability prescribed by nonequilibrium work relation. In Proceedings of the 4th International Electronic Conference on Entropy and Its Applications, 21 November–1 December 2017; Sciforum Electronic Conference Series, Vol. 4, 2017 ; doi:10.3390/ecea-4-05015

Comments on A lower bound on work extraction probability prescribed by nonequilibrium work relation

Sponsors