Metastability of the Two-Dimensional Blume–Capel Model with Zero Chemical Potential and Small Magnetic Field

Metastability of the Two-Dimensional Blume–Capel Model with Zero Chemical Potential and Small Magnetic Field

We consider the two-dimensional Blume–Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the transition time, we characterize the set of critical configurations, and we prove the metastable behavior of the dynamics as...

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Veröffentlicht in:Journal of statistical physics 2016-07, Vol.164 (2), p.346-376
Hauptverfasser: Landim, C., Lemire, P.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Magnetic fields
Markov processes
Mathematical and Computational Physics
Mathematics
Physical Chemistry
Physics
Physics and Astronomy
Probability
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Zusammenfassung:We consider the two-dimensional Blume–Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the transition time, we characterize the set of critical configurations, and we prove the metastable behavior of the dynamics as the temperature vanishes.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-016-1550-8