On H-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree
M. M. RahmatullaevUzbekistan Namangan State University, Boburshok Street 161, Namangan 160107, UzbekistanZulxumor AbdukaxorovaNamangan State University, Boburshok Street 161, Namangan 160107, Uzbekistan
ABI
Аннотация
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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