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Exponential increase of transition rates in metastable systems driven by non-Gaussian noise

Noise-induced escape from metastable states governs a plethora of transition phenomena in physics, chemistry, and biology. While the escape problem in the presence of thermal Gaussian noise has been well understood since the seminal works of Arrhenius and Kramers, many systems, in particular living...

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Autores principales: Baule, Adrian, Sollich, Peter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9995508/
https://www.ncbi.nlm.nih.gov/pubmed/36890184
http://dx.doi.org/10.1038/s41598-023-30577-0
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author Baule, Adrian
Sollich, Peter
author_facet Baule, Adrian
Sollich, Peter
author_sort Baule, Adrian
collection PubMed
description Noise-induced escape from metastable states governs a plethora of transition phenomena in physics, chemistry, and biology. While the escape problem in the presence of thermal Gaussian noise has been well understood since the seminal works of Arrhenius and Kramers, many systems, in particular living ones, are effectively driven by non-Gaussian noise for which the conventional theory does not apply. Here we present a theoretical framework based on path integrals that allows the calculation of both escape rates and optimal escape paths for a generic class of non-Gaussian noises. We find that non-Gaussian noise always leads to more efficient escape and can enhance escape rates by many orders of magnitude compared with thermal noise, highlighting that away from equilibrium escape rates cannot be reliably modelled based on the traditional Arrhenius–Kramers result. Our analysis also identifies a new universality class of non-Gaussian noises, for which escape paths are dominated by large jumps.
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spelling pubmed-99955082023-03-10 Exponential increase of transition rates in metastable systems driven by non-Gaussian noise Baule, Adrian Sollich, Peter Sci Rep Article Noise-induced escape from metastable states governs a plethora of transition phenomena in physics, chemistry, and biology. While the escape problem in the presence of thermal Gaussian noise has been well understood since the seminal works of Arrhenius and Kramers, many systems, in particular living ones, are effectively driven by non-Gaussian noise for which the conventional theory does not apply. Here we present a theoretical framework based on path integrals that allows the calculation of both escape rates and optimal escape paths for a generic class of non-Gaussian noises. We find that non-Gaussian noise always leads to more efficient escape and can enhance escape rates by many orders of magnitude compared with thermal noise, highlighting that away from equilibrium escape rates cannot be reliably modelled based on the traditional Arrhenius–Kramers result. Our analysis also identifies a new universality class of non-Gaussian noises, for which escape paths are dominated by large jumps. Nature Publishing Group UK 2023-03-08 /pmc/articles/PMC9995508/ /pubmed/36890184 http://dx.doi.org/10.1038/s41598-023-30577-0 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Baule, Adrian
Sollich, Peter
Exponential increase of transition rates in metastable systems driven by non-Gaussian noise
title Exponential increase of transition rates in metastable systems driven by non-Gaussian noise
title_full Exponential increase of transition rates in metastable systems driven by non-Gaussian noise
title_fullStr Exponential increase of transition rates in metastable systems driven by non-Gaussian noise
title_full_unstemmed Exponential increase of transition rates in metastable systems driven by non-Gaussian noise
title_short Exponential increase of transition rates in metastable systems driven by non-Gaussian noise
title_sort exponential increase of transition rates in metastable systems driven by non-gaussian noise
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9995508/
https://www.ncbi.nlm.nih.gov/pubmed/36890184
http://dx.doi.org/10.1038/s41598-023-30577-0
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