Extension of Griffiths' inequalities to Gaussian ‘spin’ configuration models II
نویسندگان
چکیده
منابع مشابه
LETTER TO THE EDITOR Griffiths Inequalities for the Gaussian Spin Glass
Abstract. The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of the system. These inequalities imply that correlation functions are non-negative and monotonic along the Nishimori line in the phase diagram. From this result, the existence of thermodynamic limit for corre...
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The Griffiths inequalities for Ising spin glasses are proved on the Nishimori line with various bond randomness which includes Gaussian and ±J bond randomness. The proof for Ising systems with Gaussian bond randomness has already been carried out by Morita et al, which uses not only the gauge theory but also the properties of the Gaussian distribution, so that it cannot be directly applied to t...
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In this paper, correlation inequalities which have been considered on Ising model are extended to q-Potts model. It is considered on generalized Potts model with interaction of any number of spins. We replace the set of spin values F = {1, 2, · · · , q} by the centered set F = {−(q−1)/2,−(q−3)/2, · · · , (q−3)/2, (q−1)/2}. Let N be the subset of one-dimensional lattice with n vertices, γ = (σ1,...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1974
ISSN: 0022-247X
DOI: 10.1016/0022-247x(74)90046-8