The most frequently asked question in the p−adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Z
We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of order three. We prove the vastness of the set of the periodic p-adic Gibbs measures for such model by showing the chaotic behavior of the corresponding Potts-Bethe mapping over for the prime numbers. In fact, for ✓ OK Manage Cookies ❯ 8/14/2018 Periodic p-adic Gibbs Measures of q-State Potts Model on Cayley Trees I: The Chaos Im plies the Vastness of the Set of p-Adic Gibbs M…
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