Stationary solution of the Fokker-Planck equation for the brownian motion of an oscillator in an external force

For an oscillator in a viscous medium under a gravitational filed and an external field, and iterative procedure of giving the stationary solution of the Fokker-Planck equation is presented, in which iterations give successive terms of the power series in the inverse powers of the viscosity η. The expression for the current including the term of O(1/η5), ignoring the terms of O(1/η7), is obtained.

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Year of publication:	1982
Authors:	Morita, T.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 110.1982, 1, p. 321-328
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011062133