Evaluation of transition rates from nonequilibrium instantons Article Swipe
Eric R. Heller
,
David T. Limmer
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physrevresearch.6.043110
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physrevresearch.6.043110
Equilibrium rate theories play a crucial role in understanding rare, reactive events. However, they are inapplicable to a range of irreversible processes in systems driven far from thermodynamic equilibrium like active and biological matter. Here we develop an efficient numerical method to compute the rate constant of rare nonequilibrium events in the weak-noise limit based on an instanton approximation to the stochastic path integral and illustrate its wide range of application. We demonstrate excellent agreement of the instanton rates with numerically exact results for a particle under a nonconservative force. We also study phase transitions in an active field theory. We elucidate how activity alters the stability of the two phases and their rates of interconversion in a manner that can be well described by modifying classical nucleation theory. Published by the American Physical Society 2024
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- en
- Landing Page
- https://doi.org/10.1103/physrevresearch.6.043110
- OA Status
- gold
- Cited By
- 7
- References
- 79
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- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4404090228Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevresearch.6.043110Digital Object Identifier
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Evaluation of transition rates from nonequilibrium instantonsWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-11-06Full publication date if available
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Eric R. Heller, David T. LimmerList of authors in order
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https://doi.org/10.1103/physrevresearch.6.043110Publisher landing page
- Open access
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://doi.org/10.1103/physrevresearch.6.043110Direct OA link when available
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Instanton, Non-equilibrium thermodynamics, Transition (genetics), Statistical physics, Physics, Thermodynamics, Mathematical physics, Chemistry, Gene, BiochemistryTop concepts (fields/topics) attached by OpenAlex
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7Total citation count in OpenAlex
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2025: 7Per-year citation counts (last 5 years)
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79Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.their | 112 |
| abstract_inverted_index.under | 86 |
| abstract_inverted_index.active | 30, 97 |
| abstract_inverted_index.alters | 104 |
| abstract_inverted_index.driven | 24 |
| abstract_inverted_index.events | 49 |
| abstract_inverted_index.force. | 89 |
| abstract_inverted_index.manner | 118 |
| abstract_inverted_index.method | 40 |
| abstract_inverted_index.phases | 110 |
| abstract_inverted_index.Society | 134 |
| abstract_inverted_index.compute | 42 |
| abstract_inverted_index.crucial | 5 |
| abstract_inverted_index.develop | 36 |
| abstract_inverted_index.events. | 11 |
| abstract_inverted_index.matter. | 33 |
| abstract_inverted_index.results | 82 |
| abstract_inverted_index.systems | 23 |
| abstract_inverted_index.theory. | 99, 128 |
| abstract_inverted_index.American | 132 |
| abstract_inverted_index.However, | 12 |
| abstract_inverted_index.Physical | 133 |
| abstract_inverted_index.activity | 103 |
| abstract_inverted_index.constant | 45 |
| abstract_inverted_index.integral | 63 |
| abstract_inverted_index.particle | 85 |
| abstract_inverted_index.reactive | 10 |
| abstract_inverted_index.theories | 2 |
| abstract_inverted_index.Published | 129 |
| abstract_inverted_index.agreement | 74 |
| abstract_inverted_index.classical | 126 |
| abstract_inverted_index.described | 123 |
| abstract_inverted_index.efficient | 38 |
| abstract_inverted_index.elucidate | 101 |
| abstract_inverted_index.excellent | 73 |
| abstract_inverted_index.instanton | 57, 77 |
| abstract_inverted_index.modifying | 125 |
| abstract_inverted_index.numerical | 39 |
| abstract_inverted_index.processes | 21 |
| abstract_inverted_index.stability | 106 |
| abstract_inverted_index.biological | 32 |
| abstract_inverted_index.illustrate | 65 |
| abstract_inverted_index.nucleation | 127 |
| abstract_inverted_index.stochastic | 61 |
| abstract_inverted_index.weak-noise | 52 |
| abstract_inverted_index.Equilibrium | 0 |
| abstract_inverted_index.demonstrate | 72 |
| abstract_inverted_index.equilibrium | 28 |
| abstract_inverted_index.numerically | 80 |
| abstract_inverted_index.transitions | 94 |
| abstract_inverted_index.application. | 70 |
| abstract_inverted_index.inapplicable | 15 |
| abstract_inverted_index.irreversible | 20 |
| abstract_inverted_index.approximation | 58 |
| abstract_inverted_index.thermodynamic | 27 |
| abstract_inverted_index.understanding | 8 |
| abstract_inverted_index.nonequilibrium | 48 |
| abstract_inverted_index.interconversion | 115 |
| abstract_inverted_index.nonconservative | 88 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 98 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.90481163 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |