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Results tagged with ising-model
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user 1121
The Ising Model, introduced by the physicist Wilhelm Lenz (1920), is one of the most well-known models of Statistical Mechanics, used to explain the behavior of ferromagnets, but later found to have connections with many other models. Example of topics in the area include existence of phase transitions, asymptotic behavior of correlation functions, critical exponents, graphical representations, and properties of the pressure/free-energy function.
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Ising model - phase transition vs rapid mixing
Consider a graph $G=(V,E)$ and Ising model on that graph, i.e. configuration space is $\Omega=${$-1,+1$}$^V$ and energy of a configuration $s \in \Omega$ is given by:
$H(s) = -\beta \sum_{u \sim v}s(u …
- 3,323