Results 41 to 50 of about 131,795 (285)

Integrable boundary conditions in the antiferromagnetic Potts model

Journal of High Energy Physics, 2020
We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine D 2 2 $$ {D}_2^2 $$ Lie algebra.
Niall F. Robertson, Michal Pawelkiewicz, Jesper Lykke Jacobsen, Hubert Saleur   +3 more
doaj   +1 more source

Spaces of states of the two-dimensional $O(n)$ and Potts models

SciPost Physics, 2023
We determine the spaces of states of the two-dimensional $O(n)$ and $Q$-state Potts models with generic parameters $n,Q\in \mathbb{C}$ as representations of their known symmetry algebras.
Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur
doaj   +1 more source

A Bayesian Nonparametric Model for Unsupervised Joint Segmentation of a Collection of Images

IEEE Access, 2019
Jointly segmenting a collection of images with shared classes is expected to yield better results than single-image based methods, due to the use of the shared statistical information across different images.
Jessica Sodjo, Audrey Giremus, Nicolas Dobigeon, Francois Caron   +3 more
doaj   +1 more source

Bethe Equation of $\tau^{(2)}$-model and Eigenvalues of Finite-size Transfer Matrix of Chiral Potts Model with Alternating Rapidities

, 2008
We establish the Bethe equation of the $\tau^{(2)}$-model in the $N$-state chiral Potts model (including the degenerate selfdual cases) with alternating vertical rapidities.
Albertini G, Au-Yang H, Au-Yang H, Baxter R J, Baxter R J, Baxter R J, Fabricius K, Fabricius K, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Shi-shyr Roan, von Gehlen G, von Gehlen G, von Gehlen G   +20 more
core   +1 more source

Phase transitions in the Potts spin glass model [PDF]

, 1998
We have studied the Potts spin glass with 2-state Ising spins and s-state Potts variables using a cluster Monte Carlo dynamics. The model recovers the +- J Ising spin glass (SG) for s=1 and exhibits for all s a SG transition at T_{SG}(s) and a ...
A. Aharony, A. Coniglio, A. Coniglio, A. Fierro, A. T. Ogielski, Antonio Coniglio, C. A. Angell, C. M. Fortuin, F. di Liberto, F. Mezei, F. Wu, Giancarlo Franzese, I. A. Campbell, J. S. Wang, K. Binder, K. Binder, L. Onsager, M. D. Ediger, M. Mezard, M. Randeria, R. H. Swendsen, R. H. Swendsen, R. N. Bath, U. Pezzella, V. Cataudella, V. Cataudella, V. Cataudella   +26 more
core   +3 more sources

Phase diagrams of lattice models on Cayley tree and chandelier network: a review

Condensed Matter Physics, 2022
The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe lattice) and chandelier networks.
H. Akιn
doaj   +1 more source

On the generalizability of artificial neural networks in spin models

SciPost Physics Core, 2022
The applicability of artificial neural networks (ANNs) is typically limited to the models they are trained with and little is known about their generalizability, which is a pressing issue in the practical application of trained ANNs to unseen problems ...
Hon Man Yau, Nan Su
doaj   +1 more source

Duality and Symmetry in Chiral Potts Model

, 2009
We discover an Ising-type duality in the general $N$-state chiral Potts model, which is the Kramers-Wannier duality of planar Ising model when N=2. This duality relates the spectrum and eigenvectors of one chiral Potts model at a low temperature (of ...
Albertini G, Au-Yang H, Au-Yang H, Au-Yang H, Au-Yang H Perk J H H, Baxter R J, Baxter R J, Baxter R J, Date E, Davies B, DeConcini C, Deguchi T, Faddeev L D Connes A Gawedzki K Zinn-Justin J, Kirillov A N, Korepin V E, Nishino A Deguchi T, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Shi-shyr Roan   +24 more
core   +2 more sources

Modeling Active Cell Movement With the Potts Model

Frontiers in Physics, 2018
In the last decade, the cellular Potts model has been extensively used to model interacting cell systems at the tissue-level. However, in early applications of this model, cell movement was taken as a consequence of membrane fluctuations due to cell-cell
Nara Guisoni, Karina I. Mazzitello, Luis Diambra   +2 more
doaj   +1 more source

Exploring the worldline formulation of the Potts model

Nuclear Physics B, 2020
We revisit the issue of worldline formulations for the q-state Potts model and discuss a worldline representation in arbitrary dimensions which also allows for magnetic terms.
Christof Gattringer, Daniel Göschl, Pascal Törek   +2 more
doaj   +1 more source