Abstract:
In this paper, we show non uniqueness of p-adic Gibbs distribution for the Ising model on the Zd. Moreover, we prove that a p-adic Gibbs distribution is bounded if and only if p≠2.
Received: 05.08.2015 Received in revised form: 24.09.2015 Accepted: 28.12.2015
Bibliographic databases:
Document Type:
Article
UDC:
517.9
Language: English
Citation:
Zohid T. Tugyonov, “Non uniqueness of p-adic Gibbs distribution for the Ising model on the lattice Zd”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 123–127
\Bibitem{Tug16}
\by Zohid~T.~Tugyonov
\paper Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 1
\pages 123--127
\mathnet{http://mi.mathnet.ru/jsfu467}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-1-123-127}
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Linking options:
https://www.mathnet.ru/eng/jsfu467
https://www.mathnet.ru/eng/jsfu/v9/i1/p123
This publication is cited in the following 1 articles:
U. A. Rozikov, Z. T. Tugyonov, “Construction of a set of p-adic distributions”, Theoret. and Math. Phys., 193:2 (2017), 1694–1702