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ZERO-TEMPERATURE SKEWED CHIRAL POTTS MODEL
Reviews in Mathematical Physics, 1994Functional relations have previously been obtained for the eigenvalues of the transfer matrices of the chiral Potts model. Introducing skewed boundary conditions is equivalent to merely modifying the quantum number of the spin shift operator in the relations (which accounts for at least some of the previously noted "spurious solutions").
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Dilute Potts model in two dimensions
Physical Review E, 2005We study the two-dimensional dilute q-state Potts model by means of transfer-matrix and Monte Carlo methods. Using the random-cluster representation, we include noninteger values of q. We locate phase transitions in the three-dimensional parameter space of q, the Potts coupling K>>0, and the chemical potential of the vacancies.
Qian, X. (author) +2 more
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Independent component analysis using Potts models
IEEE Transactions on Neural Networks, 2001We explore the extending application of Potts encoding to the task of independent component analysis, which primarily deals with the problem of minimizing the Kullback-Leibler divergence between the joint distribution and the product of all marginal distributions of output components.
J M, Wu, S J, Chiu
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Physics Letters A, 1991
Abstract The whole length spectrum of a system of vortex line lattice excitations of the three-state Potts model in three dimensions is produced for pure ferromagnetic and mixed ferromagnetic-antiferromagnetic spin interactions.
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Abstract The whole length spectrum of a system of vortex line lattice excitations of the three-state Potts model in three dimensions is produced for pure ferromagnetic and mixed ferromagnetic-antiferromagnetic spin interactions.
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Phase transitions of dilute Potts model and Potts-glasses
Journal of Magnetism and Magnetic Materials, 1983Abstract Transition temperatures of q -state Potts models with random bonds are obtained by means of Bethe and “cactus” approximations. In the case of dilute antiferromagnetic Potts model the critical concentration is shown to be dependent on the q -number. Potts-glass phases are also investigated in the mixtures of + J and - J bonds.
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Journal of Physics A: Mathematical, Nuclear and General, 1974
The thermodynamic functions for the three-component Potts model on a simple cubic lattice are constructed as a low-temperature, high-field series and also as a high-temperature, low-field series. Both series predict divergences in the relevant compliances in the same temperature range, which may be evidence for a continuous phase transition.
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The thermodynamic functions for the three-component Potts model on a simple cubic lattice are constructed as a low-temperature, high-field series and also as a high-temperature, low-field series. Both series predict divergences in the relevant compliances in the same temperature range, which may be evidence for a continuous phase transition.
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Potts-glass models of neural networks
Physical Review A, 1988The theory of neural networks is extended to include discrete neurons with more than two discrete states. The dynamics of such systems are studied. The maximum number of storage patterns is found to be proportional to Nq(q-1), where q is the number of Potts states and N is the size of the network. The properties of the Potts neural network are compared
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CMOS-compatible Ising and Potts annealing using single-photon avalanche diodes
Nature Electronics, 2023William Whitehead +2 more
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