منابع مشابه
Mean-field theory of the Potts glass.
We consider a gas of classical particles in R having q distinct colours, interacting via a mean-field Potts potential and subject to an external field; a colour-independent molecular interaction of a mean-field type is also admitted. In contrast to the usual lattice Potts model, the Potts gas exhibits the specific volume v as a parameter, in addition to colour-ordering. The v-dependence of the ...
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We predict the locations of several multicritical points of the Potts spin glass model on the triangular lattice. In particular, continuous multicritical lines, which consist of multicritical points, are obtained for two types of two-state Potts (i.e., Ising) spin glasses with twoand three-body interactions on the triangular lattice. These results provide us with numerous examples to further ve...
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The q-state Potts field theory describes the universality class associated to the spontaneous breaking of the permutation symmetry of q colors. In two dimensions it is defined up to q = 4 and exhibits duality and integrability away from critical temperature in absence of magnetic field. We show how, when a magnetic field is switched on, it provides the simplest model of confinement allowing for...
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The q-state Potts model in two dimensions exhibits a first-order transition for q > 4. As q → 4+ the correlation length at this transition diverges. We argue that this limit defines a massive integrable quantum field theory whose lowest excitations are kinks connecting 4+1 degenerate ground states. We construct the S-matrix of this theory and the two-particle form factors, and hence estimate a ...
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In this article we investigate a problem within Dempster±Shafer theory where 2 q À 1 pieces of evidence are clustered into q clusters by minimizing a metacon¯ict function, or equivalently, by minimizing the sum of weight of con¯ict over all clusters. Previously one of us developed a method based on a Hop®eld and Tank model. However, for very large problems we need a method with lower computatio...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2020
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.102.125024