Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/108818
Type: Artigo de periódico
Title: Charged Brownian Particles: Kramers And Smoluchowski Equations And The Hydrothermodynamical Picture
Author: Lagos R.E.
Simes T.P.
Abstract: We consider a charged Brownian gas under the influence of external and non-uniform electric, magnetic and mechanical fields, immersed in a non-uniform bath temperature. With the collision time as an expansion parameter, we study the solution to the associated Kramers equation, including a linear reactive term. To the first order we obtain the asymptotic (overdamped) regime, governed by transport equations, namely: for the particle density, a Smoluchowski- reactive like equation; for the particle's momentum density, a generalized Ohm's-like equation; and for the particle's energy density, a MaxwellCattaneo-like equation. Defining a nonequilibrium temperature as the mean kinetic energy density, and introducing Boltzmann's entropy density via the one particle distribution function, we present a complete thermohydrodynamical picture for a charged Brownian gas. We probe the validity of the local equilibrium approximation, Onsager relations, variational principles associated to the entropy production, and apply our results to: carrier transport in semiconductors, hot carriers and Brownian motors. Finally, we outline a method to incorporate non-linear reactive kinetics and a mean field approach to interacting Brownian particles. © 2011 Elsevier B.V. All rights reserved.
Editor: 
Rights: fechado
Identifier DOI: 10.1016/j.physa.2010.12.032
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-79952107797&partnerID=40&md5=52d16a628bbd6871fb34a251c4aaeb7c
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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