Abstract
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.
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Tsekov, R. Thermo-Quantum Diffusion. Int J Theor Phys 48, 630–636 (2009). https://doi.org/10.1007/s10773-008-9836-5
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DOI: https://doi.org/10.1007/s10773-008-9836-5