On Limiting Gibbs States of the Two-Dimensional Ising Models
Author(s) -
Yasunari Higuchi
Publication year - 1978
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195189280
Subject(s) - limiting , mathematics , ising model , statistical physics , mathematical physics , physics , mechanical engineering , engineering
We consider limiting Gibbs states in the two-dimensional ferromagnetic Ising model at sufficiently low temperatures. We prove that every limiting Gibbs state corresponding to a boundary condition such that AT/JV~ 3/5, there exists a boundary condition such that 3/5
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