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Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments

Authors : E. Hingant, R. Yvinec

Published in: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Publisher: Springer International Publishing

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Abstract

Becker and Dörimy introduced their equations in 1935 to describes nucleation in supersaturated vapors. Since then, these equations have been popularized to a wide range of applications and Slemrod in 2000 said they “provide perhaps the simplest kinetic model to describe [...] phase transitions”. In this survey we attempt to give an overview of the results obtained on these equations in the parts decades until today. Particularly we gathered results on both deterministic and stochastic versions of the Becker–Dörimy equations.

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previous chapter ZI-Closure Scheme: A Method to Solve and Study Stochastic Reaction Networks
next chapter Coagulation-Fragmentation with a Finite Number of Particles: Models, Stochastic Analysis, and Applications to Telomere Clustering and Viral Capsid Assembly
Footnotes
1
R. Yvinec thanks Bence Melykuti for pointing out this fact.
 
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Metadata
Title
Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments
Authors
E. Hingant
R. Yvinec
Copyright Year
2017
Book
Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Print ISBN: 978-3-319-62626-0

Electronic ISBN: 978-3-319-62627-7

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-62627-7_9

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