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Work fluctuations for Bose particles in grand canonical initial states

Juyeon Yi

Yong Woon Kim

Peter Talkner

  • Department of Physics, Pusan National University, Busan 609-735, Korea

  • Graduate School of Nanoscience and Technology, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea

  • Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany

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Phys. Rev. E 85, 051107 – Published 7 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.051107

Abstract

We consider bosons in a harmonic trap and investigate the fluctuations of the work performed by an adiabatic change of the trap curvature. Depending on the reservoir conditions such as temperature and chemical potential that provide the initial equilibrium state, the exponentiated work average (EWA) defined in the context of the Crooks relation and the Jarzynski equality may diverge if the trap becomes wider. We investigate how the probability distribution function (PDF) of the work signals this divergence. It is shown that at low temperatures the PDF is highly asymmetric with a steep fall-off at one side and an exponential tail at the other side. For high temperatures it is closer to a symmetric distribution approaching a Gaussian form. These properties of the work PDF are discussed in relation to the convergence of the EWA and to the existence of the hypothetical equilibrium state to which those thermodynamic potential changes refer that enter both the Crooks relation and the Jarzynski equality.

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Outline

Information

Phys. Rev. E 85, 051107– Published 7 May, 2012
  • Received 5 January 2012

©2012 American Physical Society

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