Abstract
AbstractSome 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 + t2)‐behaviour of 〈x2(t)〉 obtains for a repulsive ‘unphysical’ potential. A similar result for a nonlinear repulsive potential is commented on.
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