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

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dc.contributor.authorBHATTACHARYAY, ARIJITen_US
dc.contributor.departmentDept. of Physicsen_US
dc.date.accessioned2019-01-01T08:42:15Z
dc.date.available2019-01-01T08:42:15Z
dc.date.issued2019-02en_US
dc.description.abstractFick’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.identifier.citationPhysica A-Statistical Mechanics and Its Applications, 515, 665-670.en_US
dc.identifier.issn0378-4371en_US
dc.identifier.issn1873-2119en_US
dc.identifier.sourcetitlePhysica A-Statistical Mechanics and Its Applicationsen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1475
dc.identifier.urihttps://doi.org/10.1016/j.physa.2018.10.017
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectDiffusionen_US
dc.subjectBrownian motionen_US
dc.subjectCoordinate dependent dampingen_US
dc.subjectEquilibriumen_US
dc.subjectFick's lawen_US
dc.subjectTOC-DEC-2018en_US
dc.subject2019en_US
dc.titleEquilibrium of a Brownian particle with coordinate dependent diffusivity and damping: Generalized Boltzmann distributionen_US
dc.typeArticleen_US

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