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We present the results of a Monte Carlo study of the three-dimensional XY model and the three-dimensional antiferromagnetic three-state Potts model. In both cases we compute the difference in the free energies of a system with periodic and…

Condensed Matter · Physics 2009-10-22 A. P. Gottlob , M. Hasenbusch

Correlation patterns in multiple sequence alignments of homologous proteins can be exploited to infer information on the three-dimensional structure of their members. The typical pipeline to address this task, which we in this paper refer…

Biomolecules · Quantitative Biology 2015-06-18 Christoph Feinauer , Marcin J. Skwark , Andrea Pagnani , Erik Aurell

Conformal field theory underlies critical ground states of quantum many-body systems. While conventional conformal field theory is associated with positive central charges, nonunitary conformal field theory with complex-valued central…

Statistical Mechanics · Physics 2025-08-12 Haruki Shimizu , Kohei Kawabata

We study the phase diagram of the three-state Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two lattice-vector directions are…

Condensed Matter · Physics 2009-10-22 Hyunggyu Park

Effects of three-point direct correlation on properties of the phase field crystal (PFC) modeling are examined, for the control of various ordered and disordered phases and their coexistence in both three-dimensional and two-dimensional…

Materials Science · Physics 2022-04-15 Zi-Le Wang , Zhirong Liu , Wenhui Duan , Zhi-Feng Huang

In the presented study we investigated the second order endpoints of the lines of first order phase transitions which emerge for the QCD in the heavy and light quark mass regime and for the three-dimensional three state Potts model with an…

High Energy Physics - Lattice · Physics 2009-11-07 F. Karsch , Ch. Schmidt , S. Stickan

The critical points of the 3-states two-layer Potts model on square lattice for different interlayer couplings (Kx, Ky,and Kz) are calculated with high precision using probabilistic cellular automata with Glauber algorithm, where Kx and Ky…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Yazdan Asgari , Mehrdad Ghaemi

An exact analytical solution of generalized three-state double-chain Potts model with multi-spin interactions which are invariant under cyclic shift of all spin values is obtained. The partition function in a finite cyclically closed strip…

Statistical Mechanics · Physics 2025-02-04 Pavel Khrapov , Grigory Skvortsov

We identify typical high energy eigenstates in two-dimensional conformal field theories at finite $c$ and establish that correlation functions of the stress tensor in such states are accurately thermal as defined by the standard canonical…

High Energy Physics - Theory · Physics 2019-08-02 Shouvik Datta , Per Kraus , Ben Michel

Three-body distribution functions in classical fluids have been theoretically investigated many times, but have never been measured directly. We present experimental three-point correlation functions that are computed from particle…

Soft Condensed Matter · Physics 2009-11-10 Carsten Russ , Klaus Zahn , Hans-Hennig von Grunberg

Statistical systems near a classical critical point have been intensively studied both from theoretical and experimental points of view. In particular, correlation functions are of relevance in comparing theoretical models with the…

High Energy Physics - Theory · Physics 2018-05-25 Andrea Amoretti , Nicodemo Magnoli

We study the antiferromagnetic 3-state Potts model on general (periodic) plane quadrangulations $\Gamma$. Any quadrangulation can be built from a dual pair $(G,G^*)$. Based on the duality properties of $G$, we propose a new criterion to…

Statistical Mechanics · Physics 2018-08-03 Jian-Ping Lv , Youjin Deng , Jesper Lykke Jacobsen , Jesús Salas

A three dimensional string model is analyzed in the strong coupling regime. The contribution of surfaces with different topology to the partition function is essential. A set of corresponding models is discovered. Their critical indices,…

High Energy Physics - Theory · Physics 2007-05-23 A. Sedrakyan

We investigate the critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions by means of Monte Carlo simulation and of a finite size scaling analysis. Thanks to the use of a field…

Disordered Systems and Neural Networks · Physics 2008-04-15 L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Navarro , D. Sciretti , A. Tarancon , J. L. Velasco

The universal behaviour of the short-time dynamics of the three state Potts model in two dimensions at criticality is investigated with Monte Carlo methods. The initial increase of the order is observed. The new dynamic exponent $\theta$ as…

Condensed Matter · Physics 2009-10-28 L. Schuelke , B. Zheng

We compute the correlation functions of the three state superintegrable chiral Potts spin chain for chains of length 3,4,5. From these results we present conjectures for the form of the nearest neighbor correlation function.

Statistical Mechanics · Physics 2015-05-14 Klaus Fabricius , Barry M. McCoy

We calculate a set of conformal correlators in the critical $O(N)$ vector model in $2<d<6$ dimensions. We focus on the correlators involving the Hubbard-Stratonovich field $s$, and its composite form $s^2$. In the process, we report a…

High Energy Physics - Theory · Physics 2021-03-19 Noam Chai , Mikhail Goykhman , Ritam Sinha

The solvable $sl(n)$-chiral Potts model can be interpreted as a three-dimensional lattice model with local interactions. To within a minor modification of the boundary conditions it is an Ising type model on the body centered cubic lattice…

High Energy Physics - Theory · Physics 2011-02-11 V. V. Bazhanov , R. J. Baxter

The critical behavior of two-dimensional stochastic lattice gas models with C3v symmetry is analyzed. We study the cumulants of the order parameter for the three state (equilibrium) Potts model and for two irreversible models whose dynamic…

Statistical Mechanics · Physics 2009-11-07 Tania Tome , Alberto Petri

Parametric correlations are studied in several classes of covariant density functional theories (CDFTs) using a statistical analysis in a large parameter hyperspace. In the present manuscript, we investigate such correlations for two…

Nuclear Theory · Physics 2020-03-17 A. Taninah , S. E. Agbemava , A. V. Afanasjev , P. Ring
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