Thermo-quantum diffusion

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.

References in corpus (1)

• Comment on 'Semiclassical Klein-Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential'

Cited by in corpus (4)

• Toward a thermo-hydrodynamic like description of Schrodinger equation via the Madelung formulation and Fisher information
• Quantum diffusion
• Dissipative time dependent density functional theory
• Brownian Motion and Quantum Mechanics