PMID: 22587033May 17, 2012Paper

Validity of nonequilibrium work relations for the rapidly expanding quantum piston

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H T Quan, Christopher Jarzynski

Abstract

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 Schrödinger equation, we find 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 remain valid at any finite piston speed, provided both components are included, and we study explicitly the work distribution for this model system.

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Citations

Sep 24, 2015·Scientific Reports·David Gelbwaser-KlimovskyGershon Kurizki
Jul 24, 2015·The Journal of Chemical Physics·Anirban Mandal, Katharine L C Hunt
Sep 13, 2012·Scientific Reports·A del Campo, M G Boshier
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katsuhiro NakamuraSanat K Avazbaev
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sebastian Deffner, Avadh Saxena
Nov 12, 2016·Physical Review Letters·Zongping GongH T Quan
Jun 18, 2017·Physical Review. E·Ignacio García-MataDiego A Wisniacki
Jan 23, 2020·Physical Review. E·Jin-Fu ChenHui Dong
May 2, 2015·Physical Review Letters·Sebastian Deffner, Avadh Saxena
Jan 20, 2018·Physical Review. E·Juan D JaramilloJiangbin Gong
May 16, 2018·Physical Review. E·Gulmira BabajanovaKatsuhiro Nakamura
Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zongping GongH T Quan
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wolfgang NiedenzuGershon Kurizki
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianhui Wang, Jizhou He
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuanjian Zheng, Dario Poletti
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Gelbwaser-Klimovsky, G Kurizki

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