تقرير
Charged Brownian Particles: Kramers and Smoluchowski Equations and the Hydrothermodynamical Picture
| العنوان: | Charged Brownian Particles: Kramers and Smoluchowski Equations and the Hydrothermodynamical Picture |
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| المؤلفون: | Lagos, R. E., Simões, Tania P. |
| سنة النشر: | 2013 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics |
| الوصف: | 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 first order we obtain the asymptotic (overdamped) regime, governed by transport equations, namely: for the particle's 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. Comment: Minor corrections in this version. Published in Physica A 390, 1591 (2011) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physa.2010.12.032 |
| URL الوصول: | http://arxiv.org/abs/1305.0487 |
| رقم الأكسشن: | edsarx.1305.0487 |
| قاعدة البيانات: | arXiv |
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