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Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree
AbstractWe consider a mixed-type model given by the three-state Ising–Potts model on a Cayley tree. A criterion for the existence of limit Gibbs...
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The two upper critical dimensions of the Ising and Potts models
We derive the exact actions of the Q -state Potts model valid on any graph, first for the spin degrees of freedom, and second for the...
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Metastability of Ising and Potts Models Without External Fields in Large Volumes at Low Temperatures
In this article, we investigate the energy landscape and metastable behavior of Ising and Potts models on two-dimensional square or hexagonal...
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Potts model solver based on hybrid physical and digital architecture
The Potts model describes Ising-model-like interacting spin systems with multivalued spin components, and ground-state search problems of the Potts...
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Critical Configurations and Tube of Typical Trajectories for the Potts and Ising Models with Zero External Field
We consider the ferromagnetic q -state Potts model with zero external field in a finite volume evolving according to Glauber-type dynamics described...
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Phase Transition Temperature in Some Lattice Models
AbstractA method for calculating the phase transition temperature using only one cell is considered. This method has been verified for various...
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Lattice Gauge Theory and a Random-Medium Ising Model
We study linearization of lattice gauge theory. Linearized theory approximates lattice gauge theory in the same manner as the loop O(n)-model...
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Extrema of 3D Potts Interfaces
The interface between the plus and minus phases in the low temperature 3D Ising model has been intensely studied since Dobrushin’s pioneering works...
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Asymmetric field dependence of the specific heat of the three-state Potts model on a square lattice
Even in zero magnetic field, the exact solution of the three-state Potts model on a square lattice has never been obtained. Also, the properties of...
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Field-controlled multicritical behavior and emergent universality in fully frustrated quantum magnets
Phase transitions in condensed matter are a source of exotic emergent properties. We study the fully frustrated bilayer Heisenberg antiferromagnet to...
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Dualities between fermionic theories and the Potts model
We show that a large class of fermionic theories are dual to a q → 0 limit of the Potts model in the presence of a magnetic field. These can be...
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Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model
AbstractWe consider a DNA molecule as a configuration of the Potts model on paths of the Cayley tree. For this model, we study new...
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Potts model with invisible states: a review
The Potts model with invisible states was introduced to explain discrepancies between theoretical predictions and experimental observations of phase...
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Antiferromagnetic Potts Model on the Body-Centered Cubic Lattice
AbstractWe have studied phase transitions and thermodynamic properties of the antiferromagnetic Potts model with number of spin states q = 3 on a...
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Phase Transitions in the Clock Model with q = 5 Spin States on a Triangular Lattice
AbstractThe phase transitions and thermodynamic properties of the clock model with q = 5 spin states on a triangular lattice have been investigated...
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Simulation of a Four-Component Potts Model on a Hexagonal Lattice by the Wang–Landau Method with Controlled Accuracy
AbstractThe critical behavior of a four-component Potts model on a hexagonal lattice is investigated numerically. A modified Wang–Landau method is...
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Real Space Renormalization Group of the Chiral Potts Model
The chiral Potts model is studied by means of the real space renormalization group. We use the renormalization group scheme proposed by Niemeyer and...
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Phase Transitions and Critical Phenomena in the 2D Potts Impurity Model on a Square Lattice
AbstractPhase transitions and critical behavior in the 2D dilute Potts model with number q = 4 of spin states on a square lattice are investigated...
