This article is cited in 1 paper

Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$

Zohid T. Tugyonov

Institute of Mathematics, Durmon Yuli, 29, Tashkent, 100125, Uzbekistan

Abstract: In this paper, we show non uniqueness of $p$-adic Gibbs distribution for the Ising model on the $Z^d$. Moreover, we prove that a $p$-adic Gibbs distribution is bounded if and only if $p\neq2$.

Keywords: Gibbs distribution, Ising model, lattice.

UDC: 517.9

Received: 05.08.2015
Received in revised form: 24.09.2015
Accepted: 28.12.2015

Language: English

DOI: 10.17516/1997-1397-2016-9-1-123-127

Bibliographic databases:

•