Thermo-quantum diffusion

Details Thermo-quantum diffusion Thermo-quantum diffusion

2008-03-31

arxiv.org/abs/0803.4409v4

Int. J. Theor. Phys. 48 (2009) 630-636

Physics

Quantum Physics

Scientific paper

10.1007/s10773-008-9836-5

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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