Validity of nonequilibrium work relations for the rapidly expanding quantum piston

Details Validity of nonequilibrium work relations for the rapidly expanding quantum piston Validity of nonequilibrium work relations for the rapidly expanding quantum piston

2011-12-25

arxiv.org/abs/1112.5798v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 figures

Scientific paper

Recent work by Teifel and Mahler [Eur. Phys. J. B 75, 275 (2010)] raises legitimate concerns regarding the validity of quantum nonequilibrium work relations in processes involving moving hard walls. We study this issue in the context of the rapidly expanding one-dimensional quantum piston. Utilizing exact solutions of the time-dependent Schrodinger equation, we ?nd that the evolution of the wave function can be decomposed into static and dynamic components, which have simple semiclassical interpretations in terms of particle-piston collisions. We show that nonequilibrium work relations remains valid at any ?nite piston speed, provided both components are included, and we study explicitly the work distribution for this model system.

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