Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7110
Title: Exact distribution for work and stochastic efficiency of an isothermal machine
Authors: Gupta, Deepak
Issue Date: Jul-2018
Publisher: IOP Publishing and SISSA
Citation: Journal of Statistical Mechanics: Theory and Experiment, 2018, p 073201
Abstract: We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is dragged with a constant velocity. We obtain the distribution for work done on particle A and particle B. The transient fluctuation theorem for these quantities is tested in the weak coupling limit for both small and large observation times. Moreover, we show that the transient fluctuation theorem for the total work done on both particles is satisfied. Furthermore, we compute the stochastic efficiency which is the ratio of the work done against the load force on particle A and the work done on particle B of this machine. The probability density function for stochastic efficiency is computed for all time. Numerical simulations are also done to verify the analytical results.
Description: Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/7110
ISSN: 1742-5468
Alternative Location: https://arxiv.org/abs/1804.06142
https://doi.org/10.1088/1742-5468/aace09
Copyright: 2018, IOP Publishing and SISSA
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
2018_JStatMech_07_3201.pdf
  Restricted Access
Restricted Access1.17 MBAdobe PDFView/Open Request a copy


Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.