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Metastability in Stochastic Dynamics

Name: Metastability in Stochastic Dynamics
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 9783838134123
Price: 72.94 EUR
Availability: InStock

Contributions to the Potential Theoretic Approach

Автор: Martin Slowik

Език:

Корици: С меки корици

Издател: Sudwestdeutscher Verlag Fur Hochschulschriften AG

Наличност: Външен склад

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72.94 € 142.65 лв

Metastability is a phenomenon that occurs in the dynamics of a multi-stable non-linear system subjec...

Информация за книгата

Автор

Martin Slowik

Език

Английски език

Корици

Книга - С меки корици

Издадена

2012

страници

176

EAN

9783838134123

ISBN

3838134125

Enbook ID

07092183

Издател

Sudwestdeutscher Verlag Fur Hochschulschriften AG

Теглоt

268

Размери

152 x 229 x 10

Пълно описание

Metastability is a phenomenon that occurs in the dynamics of a multi-stable non-linear system subject to noise. In models of statistical mechanics, it is related to the behavior of macroscopic quantities in the vicinity of a first order phase transition. A signature of metastable systems is the existence of multiple, well separated time scales. While at short time scales the system appears to be in a quasi-equilibrium (metastable state), at longer time scales rapid transitions between meta-stable states occur which are induced by random fluctuations. The understanding of the quantitative aspects of dynamical phase tran-sitions is one of the basic problem encountered in physics. In the first part of the book, we develop the potential theoretic approach to the analysis of metastability with a particular focus on systems in which the entropy is relevant. This approach allows to derive sharp estimates on metastable transitions times and its distribution. In the second part, we apply this method to the random-field Curie-Weiss-Potts model.