Equilibrium of a Brownian particle with coordinate dependent diffusivity and damping: Generalized Boltzmann distribution

BHATTACHARYAY, ARIJIT

DR Home
→
PUBLICATIONS & PATENTS
→
JOURNAL ARTICLES
→
View Item

dc.contributor.author	BHATTACHARYAY, ARIJIT	en_US
dc.date.accessioned	2019-01-01T08:42:15Z
dc.date.available	2019-01-01T08:42:15Z
dc.date.issued	2019-02	en_US
dc.identifier.citation	Physica A-Statistical Mechanics and Its Applications, 515, 665-670.	en_US
dc.identifier.issn	0378-4371	en_US
dc.identifier.issn	1873-2119	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1475
dc.identifier.uri	https://doi.org/10.1016/j.physa.2018.10.017	en_US
dc.description.abstract	Fick’s law for coordinate dependent diffusivity is derived. Corresponding diffusion current in the presence of coordinate dependent diffusivity is consistent with the form as given by Kramers–Moyal expansion. We have obtained the equilibrium solution of the corresponding Smoluchowski equation. The equilibrium distribution is a generalization of the Boltzmann distribution. This generalized Boltzmann distribution involves an effective potential which is a function of coordinate dependent diffusivity. We discuss various implications of the existence of this generalized Boltzmann distribution for equilibrium of systems with coordinate dependent diffusivity and damping.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Diffusion	en_US
dc.subject	Brownian motion	en_US
dc.subject	Coordinate dependent damping	en_US
dc.subject	Equilibrium	en_US
dc.subject	Fick's law	en_US
dc.subject	TOC-DEC-2018	en_US
dc.subject	2019	en_US
dc.title	Equilibrium of a Brownian particle with coordinate dependent diffusivity and damping: Generalized Boltzmann distribution	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Physics	en_US
dc.identifier.sourcetitle	Physica A-Statistical Mechanics and Its Applications	en_US
dc.publication.originofpublisher	Foreign	en_US