Some Properties of Stochastic Diffusion in Constant Potential Fields | Zendy

Das A. K. | Zendy

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Some Properties of Stochastic Diffusion in Constant Potential Fields

Author(s) -

Das A. K.

Publication year - 1982

Publication title -

physica status solidi (b)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.51

H-Index - 109

eISSN - 1521-3951

pISSN - 0370-1972

DOI - 10.1002/pssb.2221090116

Subject(s) - brownian motion , smoluchowski coagulation equation , constant (computer programming) , fick's laws of diffusion , diffusion , periodic potential , nonlinear system , class (philosophy) , physics , potential field , classical mechanics , motion (physics) , diffusion process , statistical physics , mathematics , mathematical analysis , mathematical physics , quantum mechanics , knowledge management , innovation diffusion , artificial intelligence , geophysics , computer science , programming language

Some unusual features of Brownian motion in a class of one dimensional constant potential fields are discussed. The Smoluchowski diffusion equation for the problem is derived and solved. An anomalous ( t + t 2 )‐behaviour of 〈 x 2 ( t )〉 obtains for a repulsive ‘unphysical’ potential. A similar result for a nonlinear repulsive potential is commented on.

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