HOMOGENEOUS NUCLEATION FOR GLAUBER AND KAWASAKI DYNAMICS IN LARGE VOLUMES AT LOW TEMPERATURES

In this paper, we study metastability in large volumes at low temperatures. We consider both Ising spins subject to Glauber spin-flip dynamics and lattice gas particles subject to Kawasaki hopping dynamics. Let β denote the inverse temperature and let Λ β ⊂ Z 2 be a square box with periodic boundary...

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Veröffentlicht in:	The Annals of probability 2010-03, Vol.38 (2), p.661-713
Hauptverfasser:	Bovier, Anton, Hollander, Frank den, Spitoni, Cristian
Format:	Artikel
Sprache:	eng
Schlagworte:	60K35 82C26 Berman–Konsowa principle capacity cluster expansion critical droplet Crossovers Dirichlet principle Distribution theory Exact sciences and technology flow General topics Glauber dynamics Kawasaki dynamics last-exit biased distribution Low temperature Markov chains Mathematics Metastability metastable transition time Nucleation Operations research Particle interactions Particle motion Probability and statistics Probability theory and stochastic processes Random walk Rectangles Sciences and techniques of general use Studies Temperature
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