Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2262
Title: Equilibrium of a Brownian particle in a damping induced inhomogeneous space: an alternative approach
Authors: Biswas, Avik
BHATTACHARYAY, ARIJIT
Dept. of Physics
Keywords: Equilibrium
Brownian particle
Alternative approach
Langevin equation
2014
Issue Date: Dec-2014
Publisher: IOP Publishing
Citation: Journal of Physics A: Mathematical and Theoretical, 48(1), 015003.
Abstract: We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in (Bhattacharyay 2013 Physica A 392 4265). We consider a coordinate dependent damping resulting in a stochastic problem with multiplicative noise. We convert this stochastic problem with multiplicative noise to additive noise form using our alternative approach. The resulting equilibrium velocity distribution is locally Maxwellian with a zero mean. The position distribution is of a modified Boltzmann form where that of a free particle is a function of damping constant.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2262
https://doi.org/10.1088/1751-8113/48/1/015003
ISSN: 1751-8113
1751-8121
Appears in Collections:JOURNAL ARTICLES

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