Thermo-quantum diffusion
Quantum Physics
2011-04-18 v4 Statistical Mechanics
Abstract
A new approach to 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.
Cite
@article{arxiv.0803.4409,
title = {Thermo-quantum diffusion},
author = {Roumen Tsekov},
journal= {arXiv preprint arXiv:0803.4409},
year = {2011}
}