Nonlinear friction in quantum mechanics
Roumen Tsekov
TL;DR
This paper investigates the impact of nonlinear friction forces in quantum mechanics using dissipative hydrodynamics, deriving a new diffusion equation and extending it to quantum reaction-diffusion systems with nonlinear friction.
Contribution
It introduces a novel thermo-quantum diffusion equation and extends the framework to include chemical reactions in quantum systems with nonlinear friction.
Findings
Derived a new thermo-quantum diffusion equation.
Solved the equation for quantum Brownian motion with cubic friction.
Extended the model to quantum reaction-diffusion systems with nonlinear friction.
Abstract
The effect of nonlinear friction forces in quantum mechanics is studied via dissipative Madelung hydrodynamics. A new thermo-quantum diffusion equation is derived, which is solved for the particular case of quantum Brownian motion with a cubic friction. It is extended also by a chemical reaction term to describe quantum reaction-diffusion systems with nonlinear friction as well.
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Taxonomy
TopicsMechanical and Optical Resonators · Force Microscopy Techniques and Applications