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Detailed balance for diffusion in a potential with trapping and forward–backward symmetry of trapping time distributions
For particles diffusing in a potential, detailed balance guarantees the absence of net fluxes at equilibrium. Here, we show that the conventional detailed balance condition is a special case of a more general relation that works when the diffusion occurs in the presence of a distributed sink that ev...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
AIP Publishing LLC
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7307648/ https://www.ncbi.nlm.nih.gov/pubmed/32534527 http://dx.doi.org/10.1063/1.5142566 |
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author | Berezhkovskii, Alexander M. Makarov, Dmitrii E. |
author_facet | Berezhkovskii, Alexander M. Makarov, Dmitrii E. |
author_sort | Berezhkovskii, Alexander M. |
collection | PubMed |
description | For particles diffusing in a potential, detailed balance guarantees the absence of net fluxes at equilibrium. Here, we show that the conventional detailed balance condition is a special case of a more general relation that works when the diffusion occurs in the presence of a distributed sink that eventually traps the particle. We use this relation to study the lifetime distribution of particles that start and are trapped at specified initial and final points. It turns out that when the sink strength at the initial point is nonzero, the initial and final points are interchangeable, i.e., the distribution is independent of which of the two points is initial and which is final. In other words, this conditional trapping time distribution possesses forward–backward symmetry. |
format | Online Article Text |
id | pubmed-7307648 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | AIP Publishing LLC |
record_format | MEDLINE/PubMed |
spelling | pubmed-73076482020-06-22 Detailed balance for diffusion in a potential with trapping and forward–backward symmetry of trapping time distributions Berezhkovskii, Alexander M. Makarov, Dmitrii E. J Chem Phys Letters to the Editor For particles diffusing in a potential, detailed balance guarantees the absence of net fluxes at equilibrium. Here, we show that the conventional detailed balance condition is a special case of a more general relation that works when the diffusion occurs in the presence of a distributed sink that eventually traps the particle. We use this relation to study the lifetime distribution of particles that start and are trapped at specified initial and final points. It turns out that when the sink strength at the initial point is nonzero, the initial and final points are interchangeable, i.e., the distribution is independent of which of the two points is initial and which is final. In other words, this conditional trapping time distribution possesses forward–backward symmetry. AIP Publishing LLC 2020-06-14 2020-06-08 /pmc/articles/PMC7307648/ /pubmed/32534527 http://dx.doi.org/10.1063/1.5142566 Text en Copyright © 2020 Author(s) Published under license by AIP Publishing. 0021-9606/2020/152(22)/226101/4/$30.00 All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Letters to the Editor Berezhkovskii, Alexander M. Makarov, Dmitrii E. Detailed balance for diffusion in a potential with trapping and forward–backward symmetry of trapping time distributions |
title | Detailed balance for diffusion in a potential with trapping and
forward–backward symmetry of trapping time distributions |
title_full | Detailed balance for diffusion in a potential with trapping and
forward–backward symmetry of trapping time distributions |
title_fullStr | Detailed balance for diffusion in a potential with trapping and
forward–backward symmetry of trapping time distributions |
title_full_unstemmed | Detailed balance for diffusion in a potential with trapping and
forward–backward symmetry of trapping time distributions |
title_short | Detailed balance for diffusion in a potential with trapping and
forward–backward symmetry of trapping time distributions |
title_sort | detailed balance for diffusion in a potential with trapping and
forward–backward symmetry of trapping time distributions |
topic | Letters to the Editor |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7307648/ https://www.ncbi.nlm.nih.gov/pubmed/32534527 http://dx.doi.org/10.1063/1.5142566 |
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