Email this article Exact results on diffusion in a piecewise linear potential with a time-dependent sink
- Authors: Diwaker 1, Chakraborty A.2
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Affiliations:
- School of Physical and Astronomical Sciences
- Indian Institute of Technology Mandi
- Issue: Vol 122, No 2 (2016)
- Pages: 384-388
- Section: Statistical, Nonlinear, and Soft Matter Physics
- URL: https://journals.rcsi.science/1063-7761/article/view/189860
- DOI: https://doi.org/10.1134/S1063776116020035
- ID: 189860
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Abstract
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.
About the authors
Diwaker
School of Physical and Astronomical Sciences
Author for correspondence.
Email: diwakerphysics@gmail.com
India, Kangra (Shahpur), HP, 176206
Aniruddha Chakraborty
Indian Institute of Technology Mandi
Email: diwakerphysics@gmail.com
India, Mandi, HP-175005
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