Censored Glauber Dynamics for the Mean Field Ising Model
نویسندگان
چکیده
منابع مشابه
Censored Glauber Dynamics for the Mean Field Ising Model
We study Glauber dynamics for the Ising model on the complete graph on n vertices, known as the Curie-Weiss Model. It is well known that at high temperature (β < 1) the mixing time is Θ(n logn), whereas at low temperature (β > 1) it is exp(Θ(n)). Recently, Levin, Luczak and Peres considered a censored version of this dynamics, which is restricted to non-negative magnetization. They proved that ...
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We consider Glauber dynamics for the Ising model on the complete graph on n vertices, known as the Curie-Weiss model. It is well-known that the mixing-time in the high temperature regime (β < 1) has order n logn, whereas the mixing-time in the case β > 1 is exponential in n. Recently, Levin, Luczak and Peres proved that for any fixed β < 1 there is cutoff at time 1 2(1−β)n logn with a window of...
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A. We study the Glauber dynamics for the Ising model on the complete graph, also known as the Curie-Weiss Model. For β < 1, we prove that the dynamics exhibits a cut-off: the distance to stationarity drops from near 1 to near 0 in a window of order n centered at [2(1 − β)]−1n log n. For β = 1, we prove that the mixing time is of order n3/2. For β > 1, we study metastability. In particula...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2009
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-009-9859-1