Results 51 to 60 of about 131,795 (285)

On universality in aging ferromagnets [PDF]

, 2004
This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium.
Abriet S Karevski D, Arashiro E, Bray A J, Calabrese P, Calabrese P, Chatelain C, Christophe Chatelain, Cugliandolo L F, Fisher D S, Glauber R J, Godrèche C, Godrèche C, Henkel M, Hohenberg P C, Huse D, Ising E, Janssen H K, Kim D, Mayer P, Odor G, Potts R B, Ricci-Tersenghi F, Turban T, Wang F-G   +23 more
core   +2 more sources

THE ANTIFERROMAGNETIC POTTS MODEL

Modern Physics Letters B, 2011
We review the exact results on the various critical regimes of the antiferromagnetic Q-state Potts model. We focus on the Bethe Ansatz approach for generic Q, and describe in each case the effective degrees of freedom appearing in the continuum limit.
openaire   +4 more sources

The Onsager Algebra Symmetry of $\tau^{(j)}$-matrices in the Superintegrable Chiral Potts Model

, 2005
We demonstrate that the $\tau^{(j)}$-matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues.
Albertini G, Au-Yang H, Au-Yang H, Baxter R J, Baxter R J, Date E, Davies B, Deguchi T, Deguchi T, Fabricius K, Fabricius K, Perk J H H, Roan S S, Roan S S, Roan S S, Shi-Shyr Roan, von Gehlen G, von Gehlen G   +17 more
core   +1 more source

Polychronous Oscillatory Cellular Neural Networks for Solving Graph Coloring Problems

IEEE Open Journal of Circuits and Systems, 2023
This paper presents polychronous oscillatory cellular neural networks, designed for solving graph coloring problems. We propose to apply the Potts model to the four-coloring problem, using a network of locally connected oscillators under superharmonic ...
Richelle L. Smith, Thomas H. Lee
doaj   +1 more source

Determination of the order of phase transitions in Potts model by the graph-weight approach

, 1999
We examine the order of the phase transition in the Potts model by using the graph representation for the partition function, which allows treating a non-integer number of Potts states.
Aharony, Aharony, Baxter, Binder, Cannas, Ferrenberg, Fortuin, Glumac, Glumac, J.T. Chayes, Janke, Kasteleyn, Katarina Uzelac, Kihara, Lee, Lee, Luijten, Potts, Sweeny, Swendsen, Uzelac, Wu, Zvonko Glumac   +22 more
core   +1 more source

SpatialESD: Spatial Ensemble Domain Detection in Spatial Transcriptomics

Advanced Science, EarlyView.
ABSTRACT Spatial transcriptomics (ST) measures gene expression while preserving spatial context within tissues. One of the key tasks in ST analysis is spatial domain detection, which remains challenging due to the complex structure of ST data and the varying performance of individual clustering methods. To address this, we propose SpatialESD, a Spatial
Hongyan Cao, Gaiqin Liu, Jingyi Xia, Runle Chen, Tong Wang, Xiaoling Yang, Ruiling Fang, Yanhong Luo, Ping Zeng, Hongmei Yu, Yanbo Zhang, Yuehua Cui   +11 more
wiley   +1 more source

Comparison of Swendsen-Wang and Heat-Bath Dynamics

, 2013
We prove that the spectral gap of the Swendsen-Wang process for the Potts model on graphs with bounded degree is bounded from below by some constant times the spectral gap of any single-spin dynamics.
Alexander, Beffara, Berger, Borgs, Cooper, Cooper, Diaconis, Diaconis, Edwards, Fortuin, Grimmett, Huber, Levin, Li, Lubetzky, Martinelli, Martinelli, Martinelli, Martinelli, Swendsen   +19 more
core   +1 more source

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Correlated disordered interactions on Potts models [PDF]

Physical Review E, 2002
8 pages, 4 figures, to be published in Physical Review ...
Muzy, P. T., Vieira, A. P., Salinas, S. R.   +2 more
openaire   +3 more sources

Inference of compressed Potts graphical models [PDF]

Physical Review E, 2020
We consider the problem of inferring a graphical Potts model on a population of variables, with a non-uniform number of Potts colors (symbols) across variables. This inverse Potts problem generally involves the inference of a large number of parameters, often larger than the number of available data, and, hence, requires the introduction of ...
Francesca Rizzato, Alice Coucke, Eleonora de Leonardis, John P. Barton, Jérôme Tubiana, Rémi Monasson, Simona Cocco   +6 more
openaire   +4 more sources