Thermo-Quantum Diffusion

被引：9

作者：

Tsekov, Roumen ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, DWI, D-52056 Aachen, Germany

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2009年 / 48卷 / 03期

关键词：

Diffusion; Quantum Brownian motion; Bohmian mechanics; Langevin equation; Nonlinear quantum Smoluchowski equation; BEHAVIOR; EQUATION; DYNAMICS;

D O I：

10.1007/s10773-008-9836-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new approach to the thermo-quantum diffusion is proposed and a nonlinear quantum Smoluchowski equation is derived, which describes classical diffusion in the field of the Bohm quantum potential. A nonlinear thermo-quantum expression for the diffusion front is obtained, being a quantum generalization of the classical Einstein law. The quantum diffusion at zero temperature is also described and a new dependence of the position dispersion on time is derived. A stochastic Bohm-Langevin equation is also proposed.

引用

页码：630 / 636

页数：7

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