Distributed approximating functional approach to the Fokker{endash}Planck equation: Eigenfunction expansion

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.473520· OSTI ID:524914

Zhang, D S; Wei, G W; Kouri, D J ^[1]; Hoffman, D K ^[2]

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1. Department of Chemistry and Department of Physics, University of Houston, Houston, Texas 77204-5641 (United States)
2. Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011 (United States)

The distributed approximating functional method is applied to the solution of the Fokker{endash}Planck equations. The present approach is limited to the standard eigenfunction expansion method. Three typical examples, a Lorentz Fokker{endash}Planck equation, a bistable diffusion model and a Henon{endash}Heiles two-dimensional anharmonic resonating system, are considered in the present numerical testing. All results are in excellent agreement with those of established methods in the field. It is found that the distributed approximating functional method yields the accuracy of a spectral method but with a local method{close_quote}s simplicity and flexibility for the eigenvalue problems arising from the Fokker{endash}Planck equations. {copyright} {ital 1997 American Institute of Physics.}

• Research Organization: Ames National Laboratory
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 524914
• Journal Information: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 12 Vol. 106; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTICAL SOLUTION
DIFFUSION
EIGENFUNCTIONS
FOKKER-PLANCK EQUATION
FUNCTIONAL ANALYSIS
KINETICS
RESONANCE
density functional theory