Unusual equilibration of a particle in a potential with a thermal wall

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6839

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 arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/6839
ISSN:	1742-5468
Alternative Location:	http://arxiv.org/abs/1707.00814 http://dx.doi.org/10.1088/1742-5468/aa9683 http://adsabs.harvard.edu/abs/2017JSMTE..11.3210B
Copyright:	2017 IOP Publishing and SISSA Medialab srl
Appears in Collections:	Research Papers (TP)

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