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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv

Authors: Diwaker, Anirudhha Chakraborty

Year

2014

Paper ID

48082

Status

Preprint

Abstract Read

~2 min

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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.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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The Smoluchowski equation with a time dependent sink term is solved exactly.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1408.3290 [2] arXiv https://arxiv.org/abs/1408.3290 [3] Publisher https://arxiv.org/abs/1408.3290

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