Exact results on diffusion in a piecewise linear potential with a time dependent sink
Quantum Physics
2015-06-01 v3
Abstract
The Smoluchowski equation with a time dependent sink term is solved exactly. In this method by knowing the probability distribution at the origin P(0,s), one may derive the probability distribution at all positions i.e., P(x,s). Further the exact solution for Smoluchowski equation are also provided in different cases where the sink term has linear, constant, inverse and exponential variation in time.
Cite
@article{arxiv.1408.3290,
title = {Exact results on diffusion in a piecewise linear potential with a time dependent sink},
author = {Diwaker and Anirudhha Chakraborty},
journal= {arXiv preprint arXiv:1408.3290},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1408.3288