Skip to main content
Article thumbnail
Location of Repository

A Generalized Smoluchowsky Equation: The Hydrodynamical and Thermodynamical Picture of Brownian Motion

By L. A. Barreiro, J. R. Campanha and R. E. Lagos


We present a systematic expansion of Kramers equation in the high friction limit. The latter is expanded within an operator continued fraction scheme. The relevant operators include both temporal and spatial derivatives and a covariant derivative or gauge like operator associated to the potential energy. Trivially, the first order term yields the Smoluchowsky equation. The second order term is readily obtained, known as the corrected Smoluchowsky equation. Further terms are computed in compact and straightforward fashion. As an application, the nonequilibrium thermodynamics and hydrodynamical schemes for the one dimensional Brownian motion is presented. PACS codes: 05.40.Jc, 05.70.Ln, 82.20.M

Topics: Kramers & Smoluchowsky equation, Brownian motion, Nonequilibrium thermodynamics, hydrodynamical equations
Year: 2000
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.