We consider a nearest-neighbor p-adic λ-model with spin values ±1 on the Cayley tree of order k≥1. We prove that a p-adic Gibbs measure is unique for p≥3. If p=2 then we find a condition which guarantees uniqueness of p-adic Gibbs measure. Besides, the results are applied to the p-adic Ising model.
|Number of pages||10|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 2004|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics