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Type: Artigo de periódico
Title: Charged Brownian particles: Kramers and Smoluchowski equations and the hydrothermodynamical picture
Author: Lagos, RE
Simoes, TP
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 Maxwell-Cattaneo-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. (C) 2011 Elsevier B.V. All rights reserved.
Subject: Brownian motion
Kramers equation
Smoluchowski equation
Dissipative dynamics
Evolution of nonequilibrium systems
Brownian motors
Carrier transport
Country: Holanda
Editor: Elsevier Science Bv
Citation: Physica A-statistical Mechanics And Its Applications. Elsevier Science Bv, v. 390, n. 9, n. 1591, n. 1601, 2011.
Rights: fechado
Identifier DOI: 10.1016/j.physa.2010.12.032
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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