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arXiv · 0803.4409

Thermo-quantum diffusion

Roumen Tsekov
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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.

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Roumen Tsekov. 2011-04-15. Thermo-quantum diffusion. https://doi.org/10.1007/s10773-008-9836-5

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