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Last modified: September 1, 2008
Application of Fokker-Planck Equations in Generalized Diffusion
Muhammad Yusuf1, Agus Kartono2, Mustafa Bin Mamat3
1Study Program of Physics, Faculty Mathematics and Natural Sciences,
Universitas Negeri Gorontalo, Gorontalo, Indonesia.
2Laboratory for Theoretical and Computation Physics, Department of Physics,
Faculty of Mathematics and Natural Sciences, Institut Pertanian Bogor, Bogor,
Indonesia.
3Department of Mathematics Sciences, Faculty of Sciences and Technology,
Universiti Malaysia Terengganu, Terengganu, Malaysia.
ABSTRACT :
The study of Fokker-Planck equations is of considerable interest in physics
since the pioneering work of Einstein (1901) on the Brownian motion. The
simplest Fokker-Planck equation is the Smoluchowski (1915) equation. This is a
drift-diffusion equation describing the diffusion of particles in physical
space in the presence of an external potential. We study a general of
Fokker-Planck equations and show their applications in generalized diffusion
models.
Key Words : Fokker-Planck equations, generalized diffusion
