Lagos, R. E. [UNESP]Simes, Tania P.2014-05-272014-05-272011-05-01Physica A: Statistical Mechanics and its Applications, v. 390, n. 9, p. 1591-1601, 2011.0378-4371http://hdl.handle.net/11449/72401We 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.1591-1601engBrownian motionBrownian motorsCarrier transportDissipative dynamicsEvolution of nonequilibrium systemsKramers equationSmoluchowski equationKramers equationsDistribution functionsEntropyVariational techniquesBrownian movementArtigo10.1016/j.physa.2010.12.032Acesso aberto2-s2.0-799521077972-s2.0-79952107797.pdf