Approximation to a Fokker-Planck equation for the Brownian motor.
basic_science · Level V
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- Record sourced from PubMed, PMID 30011433.
- Also identified by DOI 10.1103/PhysRevE.97.062111.
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Abstract
An approximate method is proposed and numerically confirmed for a time-dependent Fokker-Planck equation (FPE) modeling the Brownian motor. The situation addressed in this paper is that the potential is spatially asymmetric and multiplicatively modulated. The approximate solution is composed of Sturm-Liouville eigenfunctions. While some time-independent partial differential equations and those perturbed around them have been known to be reduced to ordinary differential equations with a few degrees of freedom, the time-dependent FPE dealt with in this paper is also found to be reduced to an ordinary differential equation.