Fokker-Planck equation


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Fokker-Planck equation

[¦fō·kər ¦pläŋk i′kwā·zhən]
(statistical mechanics)
An equation for the distribution function of a gas, analogous to the Boltzmann equation but applying where the forces are long-range and the collisions are not binary.
References in periodicals archive ?
In the Fokker-Planck equation, the so called Kramers-Moyal coefficients [D.
A numerical method based on the finite volume method for solving Fokker-Planck equation was developed to simulate the fiber orientation distribution of fiber suspensions flowing through a curved expansion duct.
The Fokker-Planck equations, methods of solution and applications.
In Section 3 we investigate the transport operator in the Fokker-Planck equation.
Complex-valued viscosity solutions to the Navier-Stokes equations were also analyzed by Nottale leading to the Fokker-Planck equation.
This would require a new solution to the Fokker-Planck equation for an initial orientation state using the method of characteristics.
Many methods, such as Fokker-Planck equations, time averaging methods, and stochastic calculus are used on optimal harvesting problems for model (2); all the aforementioned works can be found in Alvarez and Shepp [15], Li and Wang [16], and Li et al.
They include results of laboratory verifications, and present the active Brownian motion model for swarm dynamics with corresponding Fokker-Planck equations.
The appropriate system of the inter-linked Fokker-Planck equations can be transformed to the dimensions less form