Quasi-stationary distribution and metastability for the stochastic\n Becker-D\\"oring model Article Swipe
Erwan Hingant
,
Romain Yvinec
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2008.02544
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2008.02544
We study a stochastic version of the classical Becker-D\\"oring model, a\nwell-known kinetic model for cluster formation that predicts the existence of a\nlong-lived metastable state before a thermodynamically unfavorable nucleation\noccurs, leading to a phase transition phenomena. This continuous-time Markov\nchain model has received little attention, compared to its deterministic\ndifferential equations counterpart. We show that the stochastic formulation\nleads to a precise and quantitative description of stochastic nucleation events\nthanks to an exponentially ergodic quasi-stationary distribution for the\nprocess conditionally on nucleation has not yet occurred.\n
Related Topics
Concepts
Nucleation
Statistical physics
Metastability
Stationary distribution
Ergodic theory
Markov chain
Stochastic modelling
Distribution (mathematics)
Stationary state
Continuous-time Markov chain
Mathematics
Stochastic differential equation
Markov process
Stochastic process
Physics
Thermodynamics
Applied mathematics
Markov property
Markov model
Mathematical analysis
Statistics
Quantum mechanics
Metadata
- Type
- article
- Landing Page
- http://arxiv.org/abs/2008.02544
- https://arxiv.org/pdf/2008.02544
- OA Status
- green
- Cited By
- 3
- References
- 10
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3180917462
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3180917462Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2008.02544Digital Object Identifier
- Title
-
Quasi-stationary distribution and metastability for the stochastic\n Becker-D\\"oring modelWork title
- Type
-
articleOpenAlex work type
- Publication year
-
2020Year of publication
- Publication date
-
2020-08-06Full publication date if available
- Authors
-
Erwan Hingant, Romain YvinecList of authors in order
- Landing page
-
https://arxiv.org/abs/2008.02544Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2008.02544Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2008.02544Direct OA link when available
- Concepts
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Nucleation, Statistical physics, Metastability, Stationary distribution, Ergodic theory, Markov chain, Stochastic modelling, Distribution (mathematics), Stationary state, Continuous-time Markov chain, Mathematics, Stochastic differential equation, Markov process, Stochastic process, Physics, Thermodynamics, Applied mathematics, Markov property, Markov model, Mathematical analysis, Statistics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 1, 2023: 2Per-year citation counts (last 5 years)
- References (count)
-
10Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
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| primary_location.version | submittedVersion |
| primary_location.raw_type | |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2008.02544 |
| publication_date | 2020-08-06 |
| publication_year | 2020 |
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