On Gibbs Measures of P -adic Potts Model on the Cayley Tree

نویسنده

  • FARRUKH M. MUKHAMEDOV
چکیده

We consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ∈ Qp) model on the Cayley tree of order k ≥ 1. It is proved that a phase transition occurs at k = 2, q ∈ pN and p ≥ 3 (resp. q ∈ 2N, p = 2). It is established that for p-adic Potts model at k ≥ 3 a phase transition may occur only at q ∈ pN if p ≥ 3 and q ∈ 2N if p = 2.

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تاریخ انتشار 2008