TY - JOUR
T1 - Existence of a phase transition for the Potts p-adic model on the set ℤ
AU - Ganikhodzhaev, N. N.
AU - Mukhamedov, F. M.
AU - Rozikov, U. A.
PY - 2002
Y1 - 2002
N2 - We consider the Potts model on the set ℤ in the field Qp of p-adic numbers. The range of the spin variables σ(n), n ε ℤ, in this model is Φ = { σ1, σ2, ⋯, σq} ⊂ Qpq-1 = Qp × Qp × ⋯ × Qp(q-1). We show that there are some values q = q(p) for which phase transitions occur.
AB - We consider the Potts model on the set ℤ in the field Qp of p-adic numbers. The range of the spin variables σ(n), n ε ℤ, in this model is Φ = { σ1, σ2, ⋯, σq} ⊂ Qpq-1 = Qp × Qp × ⋯ × Qp(q-1). We show that there are some values q = q(p) for which phase transitions occur.
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U2 - 10.1023/A:1014723108030
DO - 10.1023/A:1014723108030
M3 - Article
AN - SCOPUS:0141634205
VL - 130
SP - 425
EP - 431
JO - Theoretical and Mathematical Physics(Russian Federation)
JF - Theoretical and Mathematical Physics(Russian Federation)
SN - 0040-5779
IS - 3
ER -