Journal of Experimental and Theoretical Physics

, Volume 122, Issue 2, pp 384–388 | Cite as

Exact results on diffusion in a piecewise linear potential with a time-dependent sink

  • DiwakerEmail author
  • Aniruddha Chakraborty
Statistical, Nonlinear, and Soft Matter Physics


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.


Probability Distribution Function Exact Result Sink Term Smoluchowski Equation Exponential Variation 
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© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  1. 1.School of Physical and Astronomical SciencesCentral University of Himachal PradeshKangra (Shahpur)India
  2. 2.Indian Institute of Technology MandiMandiIndia

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