The critical temperature $T_{cr}$(Ising) is DS-computable
Senya Shlosman
TL;DR
This paper demonstrates that the Dobrushin-Shlosman conditions precisely determine the critical temperature of the d-dimensional Ising model, linking uniqueness conditions to phase transition points.
Contribution
The authors establish that the Dobrushin-Shlosman conditions exactly compute the critical temperature for the Ising model, providing a new method for analyzing phase transitions.
Findings
Dobrushin-Shlosman conditions exactly determine the critical temperature.
The critical temperature is DS-computable for the Ising model.
Provides a new approach to phase transition analysis.
Abstract
We show that the Dobrushin-Shlosman conditions CV for the uniqueness of the Gibbs state provide the exact value for the critical temperature of the d-dimensional Ising model.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods