Approximate solution for Fokker-Planck equation
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Data
2015-01-01
Autores
Araujo, M. T. [UNESP]
Drigo Filho, E. [UNESP]
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Resumo
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed.
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Approximate solution, Fokker-Planck equation, Schrödinger equation
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Condensed Matter Physics, v. 18, n. 4, 2015.