Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability (Q843708)
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| English | Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability |
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Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability (English)
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15 January 2010
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One considers Glauber dynamics for the Ising model on sequences of transitive graphs. It is shown that the system exhibits a cut-off for values of the absolute temperature \(T\) larger than the unity. When \(T=1\), one can obtain the order \(n^{3/2}\) of the mixing time, and the meta-stability of the system is analyzed when \(T\) is small. In this case, it is shown that the mixing time is logarithmic
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Ising model
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Glauber dynamics
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Markov chains
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Curie-Weiss model
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mixing time
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cut-off
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coupling
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meta-stability
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heat-bath dynamics
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mean-field model
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