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Title: Unusual equilibration of a particle in a potential with a thermal wall
Authors: Bhat, Deepak
Sabhapandit, Sanjib
Kundu, Anupam
Dhar, Abhishek
Keywords: Fluctuation Phenomena
Gas dynamics
Stochastic particle dynamics
Issue Date: 29-Nov-2017
Publisher: IOP Publishing and SISSA
Citation: Journal of Statistical Mechanics: Theory and Experiment, 2017, P113210
Abstract: We consider a particle in a one-dimensional box of length L with a Maxwell bath at one end and a reflecting wall at the other end. Using a renewal approach, as well as directly solving the master equation, we show that the system exhibits a slow power law relaxation with a logarithmic correction towards the final equilibrium state. We extend the renewal approach to a class of confining potentials of the form U(x)∝xα, x>0, where we find that the relaxation is ∼t−(α+2)/(α−2) for α>2, with a logarithmic correction when (α+2)/(α−2) is an integer. For α<2 the relaxation is exponential. Interestingly for α=2 (harmonic potential) the localised bath can not equilibrate the particle.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 1742-5468
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Copyright: 2017 IOP Publishing and SISSA Medialab srl
Appears in Collections:Research Papers (TP)

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