Kramers equation for a charged Brownian particle: The exact solution

We report the exact fundamental solution for Kramers equation associated to a Brownian gas of charged particles, under the influence of homogeneous (spatially uniform) otherwise arbitrary, external mechanical, electrical and magnetic fields. Some applications are presented, namely the hydrothermodyn...

Full description

Saved in:
Bibliographic Details
Published inPhysica A Vol. 355; no. 2; pp. 274 - 282
Main Authors Simões, Tania P., Lagos, Roberto E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.09.2005
Subjects
Charged particle Brownian motion
Dissipative dynamics
Evolution of non-equilibrium systems
Kramers equation
Smoluchowsky equation
Kramers equation
05.40.Jc
51.10+y
Smoluchowsky equation
Dissipative dynamics
Evolution of non-equilibrium systems
05.20.Dd
Charged particle Brownian motion
Online AccessGet full text

Cover

More Information
Summary:We report the exact fundamental solution for Kramers equation associated to a Brownian gas of charged particles, under the influence of homogeneous (spatially uniform) otherwise arbitrary, external mechanical, electrical and magnetic fields. Some applications are presented, namely the hydrothermodynamical picture for Brownian motion in the long-time regime.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2005.03.034