Griffiths Inequalities in the Nishimori Line
نویسندگان
چکیده
منابع مشابه
Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line
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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“Nishimori line” is a line or hypersurface in the parameter space of systems with quenched disorder, where simple expressions of the averages of physical quantities over the quenched random variables are obtained. It has been playing an important role in the theoretical studies of the random frustrated systems since its discovery around 1980. In this paper, a novel interpretation of the Nishimo...
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Ganikhodjaev and Razak have proved versions of the two Griffiths inequalities for the ferromagnetic Potts model. We show how their inequalities may be derived via the FKG inequality for the random-cluster representation of the Potts model.
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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,...
متن کاملLETTER 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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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2005
ISSN: 0375-9687
DOI: 10.1143/ptps.157.73