Metastability under stochastic dynamics

W.Th.F. Hollander, den

doi:10.1016/j.spa.2004.07.007

Metastability under stochastic dynamics

W.Th.F. Hollander, den

Research output: Contribution to journal › Article › Academic › peer-review

27 Citations (Scopus)

Abstract

This paper is a tutorial introduction to some of the mathematics behind metastable behavior of interacting particle systems. The main focus is on the formation of so-called critical droplets, in particular, on their geometry and the time of their appearance. Special attention is given to Ising spins subject to a Glauber spin-flip dynamics and lattice particles subject to a Kawasaki hopping dynamics. The latter is one of the hardest models that can be treated to date and therefore is representative for the current state of development of this research area.

Original language	English
Pages (from-to)	1-26
Journal	Stochastic Processes and their Applications
Volume	114
Issue number	1
DOIs	https://doi.org/10.1016/j.spa.2004.07.007
Publication status	Published - 2004

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10.1016/j.spa.2004.07.007

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title = "Metastability under stochastic dynamics",

abstract = "This paper is a tutorial introduction to some of the mathematics behind metastable behavior of interacting particle systems. The main focus is on the formation of so-called critical droplets, in particular, on their geometry and the time of their appearance. Special attention is given to Ising spins subject to a Glauber spin-flip dynamics and lattice particles subject to a Kawasaki hopping dynamics. The latter is one of the hardest models that can be treated to date and therefore is representative for the current state of development of this research area.",

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AB - This paper is a tutorial introduction to some of the mathematics behind metastable behavior of interacting particle systems. The main focus is on the formation of so-called critical droplets, in particular, on their geometry and the time of their appearance. Special attention is given to Ising spins subject to a Glauber spin-flip dynamics and lattice particles subject to a Kawasaki hopping dynamics. The latter is one of the hardest models that can be treated to date and therefore is representative for the current state of development of this research area.

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DO - 10.1016/j.spa.2004.07.007

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VL - 114

SP - 1

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JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 1

ER -

Metastability under stochastic dynamics

Abstract

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