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Title: Decay of correlations and uniqueness of Gibbs lattice systems with nonquadratic interaction

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.531715· OSTI ID:388191
;  [1]
  1. Department of Nonlinear Analysis, Kiev Institute of Mathematics, Tereschenkivskaja str. 3, Kiev-4, GSP, 252601 (Ukraine)

The aim of this paper is to develop the classical lattice models with unbounded spin to the case of nonquadratic polynomial interaction. We demonstrate that the distinct relation between the growths of potentials leads to the uniqueness and the fast decay of correlations for Gibbs measure. {copyright} {ital 1996 American Institute of Physics.}

OSTI ID:
388191
Journal Information:
Journal of Mathematical Physics, Vol. 37, Issue 11; Other Information: PBD: Nov 1996
Country of Publication:
United States
Language:
English

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