On H-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree
M. M. RahmatullaevV. I. Romanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, University Street 9, Tashkent 100174Zulxumor AbdukaxorovaNamangan State University, Boburshok Street 161, Namangan 160107, Uzbekistan
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Annotatsiya
In the present paper, we investigate weakly periodic p -adic generalized Gibbs measures for p -adic Ising model with an external field on the Cayley tree of order two. For a normal subgroup of the group representation of the Cayley tree we prove that there exists at least one unbounded weakly periodic (in particular, nonperiodic) p -adic generalized Gibbs measures for this model. Moreover, we show that if p is any odd prime then a phase transition occurs, if p = 2 then a quasi phase transition occurs for p -adic Ising model with an external field.
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