Metastability of the Two-Dimensional Blume-Capel Model with Zero Chemical Potential and Small Magnetic Field on a Large Torus

We consider the Blume-Capel model with zero chemical potential and small magnetic field in a two-dimensional torus whose length increases with the inverse of the temeprature. We prove the mestastable behavior and that starting from a configuration with only negative spins, the process visits the con...

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Bibliographic Details
Published in:Journal of statistical physics 2019-04, Vol.175 (2), p.456-494
Main Authors: Landim, C., Lemire, P., Mourragui, M.
Format: Article
Language:English
Subjects:
Chemical potential
Configurations
Magnetic fields
Mathematical and Computational Physics
Mathematics
Organic chemistry
Physical Chemistry
Physics
Physics and Astronomy
Probability
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Toruses
Two dimensional models
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Summary:We consider the Blume-Capel model with zero chemical potential and small magnetic field in a two-dimensional torus whose length increases with the inverse of the temeprature. We prove the mestastable behavior and that starting from a configuration with only negative spins, the process visits the configuration with only 0-spins on its way to the ground state which is the configuration with all spins equal to + 1 .
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-019-02262-y