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The Glassy Potts Model [PDF]

open access: yesPhysical Review B, 1998
We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from $T_c$ down to T=0.
A. Erzan   +24 more
core   +3 more sources

Three-dimensional Gonihedric Potts model [PDF]

open access: yesPhysics Letters A, 2003
We study, by the Mean Field and Monte Carlo methods, a generalized q-state Potts gonihedric model. The phase transition of the model becomes stronger with increasing $q.$ The value $k_c(q),$ at which the phase transition becomes second order, turns out ...
Ambartzumian   +41 more
core   +2 more sources

Qudit-Native Simulation of the Potts Model [PDF]

open access: yesEntropy
Simulating entangled, many-body quantum systems is notoriously hard, especially in the case of the high-dimensional nature of the underlying physical objects. In this work, we propose an approach for simulating the Potts model based on the Suzuki–Trotter
Maksim A. Gavreev   +3 more
doaj   +2 more sources

Statistical Physics Approach to Liquid Crystals: Dynamics of Mobile Potts Model Leading to Smectic Phase, Phase Transition by Wang–Landau Method [PDF]

open access: yesEntropy, 2020
We study the nature of the smectic–isotropic phase transition using a mobile 6-state Potts model. Each Potts state represents a molecular orientation.
V. Thanh Ngo   +2 more
doaj   +2 more sources

Surrogate modeling of Cellular-Potts agent-based models as a segmentation task using the U-Net neural network architecture. [PDF]

open access: yesPLoS Computational Biology
The Cellular-Potts model is a powerful and ubiquitous framework for developing computational models for simulating complex multicellular biological systems.
Tien Comlekoglu   +6 more
doaj   +2 more sources

Lung Cancer Pathological Image Analysis Using a Hidden Potts Model [PDF]

open access: yesCancer Informatics, 2017
Nowadays, many biological data are acquired via images. In this article, we study the pathological images scanned from 205 patients with lung cancer with the goal to find out the relationship between the survival time and the spatial distribution of ...
Qianyun Li   +4 more
doaj   +2 more sources

Phase transitions in Delaunay Potts models [PDF]

open access: yesJournal of Statistical Physics, 2015
We establish phase transitions for classes of continuum Delaunay multi-type particle systems (continuum Potts models) with infinite range repulsive interaction between particles of different type.
Adams, Stefan, Eyers, Michael
core   +2 more sources

Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model

open access: yesSciPost Physics, 2023
The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model.
Rongvoram Nivesvivat
doaj   +1 more source

Critical properties of quantum three- and four-state Potts models with boundaries polarized along the transverse field

open access: yesSciPost Physics Core, 2022
By computing the low-lying energy excitation spectra with the density matrix renormalization group algorithm we show that boundaries polarized in the direction of the transverse field lead to scale-invariant conformal towers of states at the critical ...
Natalia Chepiga
doaj   +1 more source

FUSED POTTS MODELS [PDF]

open access: yesInternational Journal of Modern Physics A, 1993
Generalizing the mapping between the Potts model with nearest neighbor interaction and the six-vertex model, we build a family of “fused Potts models” related to the spin k/2 U q su (2) invariant vertex model and quantum spin chain. These Potts models still have variables taking values 1, …,Q[Formula: see text] but they have a set of complicated ...
Koo, W. M., Saleur, H.
openaire   +3 more sources

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