ZhETF, Vol. 149,
No. 2,
p. 439 (February 2016)
(English translation - JETP,
Vol. 122, No. 2,
February 2016
available online at www.springer.com
)
Exact results on diffusion in a piecewise linear potential with a time-dependent sink
Diwaker, A. Chakraborty
Received: August 31, 2015
DOI: 10.7868/S0044451016020218
The Smoluchowski equation with a time-dependent sink term is solved exactly. In this method, knowing the probability distribution P(0,s) at the origin, allows deriving the probability distribution P(x,s) at all positions. Exact solutions of the Smoluchowski equation are also provided in different cases where the sink term has linear, constant, inverse, and exponential variation in time.
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