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Similarity Solutions of a Class of Perturbative Fokker-Planck Equation

By Wen-Tsan Lin and Choon-Lin Ho

Abstract

In a previous work, a perturbative approach to a class of Fokker-Planck equations, which have constant diffusion coefficients and small time-dependent drift coefficients, was developed by exploiting the close connection between the Fokker-Planck equations and the Schrodinger equations. In this work, we further explore the possibility of similarity solutions of such a class of Fokker-Planck equations. These solutions possess definite scaling behaviors, and are obtained by means of the so-called similarity method

Topics: Mathematical Physics, Condensed Matter - Statistical Mechanics, Quantum Physics
Year: 2011
DOI identifier: 10.1063/1.3605481
OAI identifier: oai:arXiv.org:1103.3558
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