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A p-Adic Generalized Gibbs Measure for the Ising Model on a Cayley Tree

M. M. RahmatullaevInstitute of Mathematics, Tashkent, UzbekistanO. N. KhakimovA. M. TukhtaboevNamangan Construction Institute, Namangan, Uzbekistan

Theoretical and Mathematical Physicsjournal2019en

ABI

Annotatsiya

We consider a p-adic Ising model on the Cayley tree of order k ≥ 2. We completely describe all p-adic-translation-invariant generalized Gibbs measures for k = 3. Moreover, we show the existence of a phase transition for the p-adic Ising model for any k ≥ 3 if p ≡ 1 (mod 4).

Mavzular

advanced mathematical theories Mathematical Dynamics and Fractals Stochastic processes and statistical mechanics

Identifikatorlar

DOI: 10.1134/s004057791910009x

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