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Related papers: Normalized entropy density of the 3D 3-state Potts…

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We discuss the computational efficiency of the finite temperature simulation with the minimally entangled typical thermal states (METTS). To argue that METTS can be efficiently represented as matrix product states, we present an analytic…

Statistical Mechanics · Physics 2024-07-31 Yuya Kusuki , Kotaro Tamaoka , Zixia Wei , Yasushi Yoneta

A study is made of an anisotropic Potts model in three dimensions where the coupling depends on both the Potts state on each site but also the direction of the bond between them using both analytical and numerical methods. The phase diagram…

Statistical Mechanics · Physics 2009-11-11 M. R. Ahmed , G. A. Gehring

In a recent paper we introduced two Potts-like models in three dimensions, which share the following properties: (A) One of the ice rules is always fulfilled (in particular also at infinite temperature). (B) Both ice rules hold for…

Statistical Mechanics · Physics 2009-11-13 Chizuru Muguruma , Yuko Okamoto , Bernd A. Berg

We study thermodynamic properties of the doped Hubbard model on the square lattice in the regime of strong charge and spin fluctuations at low temperatures near the metal-to-insulator crossover and obtain results with controlled accuracy…

Strongly Correlated Electrons · Physics 2021-03-17 Connor Lenihan , Aaram J. Kim , Fedor Šimkovic IV. , Evgeny Kozik

We compute the form factors of the order and disorder operators, together with those of the stress-energy tensor, of the two-dimensional three-state Potts model with vacancies along its thermal deformation of the critical point. At…

High Energy Physics - Theory · Physics 2024-03-19 Giuseppe Mussardo , Marco Panero , Andrea Stampiggi

During the past decade, phase-transition phenomena in the random 3-satisfiability (3-SAT) problem has been intensively studied by statistical physics methods. In this work, we study the random 3-SAT problem by the mean-field first-step…

Disordered Systems and Neural Networks · Physics 2008-09-25 Haijun Zhou

We prove the existence of long-range order at sufficiently low temperatures, including zero temperature, for the three-state Potts antiferromagnet on a class of quasi-transitive plane quadrangulations, including the diced lattice. More…

Mathematical Physics · Physics 2014-09-18 Roman Kotecký , Alan D. Sokal , Jan M. Swart

We consider the Potts model on a two-dimensional periodic rectangular lattice with general coupling constants $J_{ij}>0$, where $i,j\in\{1,2,3\}$ are the possible spin values (or colors). The resulting energy landscape is thus significantly…

Probability · Mathematics 2024-05-09 Gianmarco Bet , Anna Gallo , Seonwoo Kim

The pressure, and the energy and entropy densities are determined for the SU(3) gauge theory in $2 + 1$ dimensions from lattice Monte Carlo calculations in the interval $0.6 \leq T/T_c \leq 15$. The finite temperature lattices simulated…

High Energy Physics - Lattice · Physics 2008-11-26 P. Bialas , L. Daniel , A. Morel , B. Petersson

This study present a Monte Carlo investigations of low-temperature magnetic ordering and phase transitions in three-state Potts model on triangular lattice with various exchange interactions between nearest (J1) and next-nearest (J2)…

Statistical Mechanics · Physics 2018-09-24 Magomed A. Magomedov , Akay K. Murtazaev

We derive a universal relation for the critical temperatures of the $q$-state Potts model based on the counting of domain-wall microstates. By balancing interface energy against configurational entropy, we show that the critical temperature…

Statistical Mechanics · Physics 2026-04-14 David Vaknin

Evaporation/condensation transition of the Potts model on square lattice is numerically investigated by the Wang-Landau sampling method. Intrinsically system size dependent discrete transition between supersaturation state and…

Statistical Mechanics · Physics 2011-12-13 Tomoaki Nogawa , Nobuyasu Ito , Hiroshi Watanabe

Boundary impurities are known to dramatically alter certain bulk properties of 1+1 dimensional strongly correlated systems. The entanglement entropy of a zero temperature Luttinger liquid bisected by a single impurity is computed using a…

Strongly Correlated Electrons · Physics 2009-11-10 Gregory Levine

Boltzmann's microcanonical entropy is the link between statistical physics and thermodynamics, forasmuch as the behavior of any thermodynamic quantity is directly related to the number of microscopic configurations. Accordingly, in this…

Statistical Mechanics · Physics 2022-11-24 L. S. Ferreira , L. N. Jorge , C. J. DaSilva , A. A. Caparica

The standard infinite-volume definition of connected correlation function and particle mass in the 3-state Potts model can be implemented in Monte Carlo simulations by using C-periodic spatial boundary conditions. This avoids both the…

High Energy Physics - Lattice · Physics 2009-10-22 R. V. Gavai , L. Polley

We calculate the density of states of a binary Lennard-Jones glass using a recently proposed Monte Carlo algorithm. Unlike traditional molecular simulation approaches, the algorithm samples distinct configurations according to…

Soft Condensed Matter · Physics 2009-11-10 Roland Faller , Juan J. de Pablo

Phase transition in the two-dimensional $q$-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random…

Statistical Mechanics · Physics 2007-05-23 J-Ch. Angles d'Auriac , F. Igloi

The surface and bulk properties of the two-dimensional Q > 4 state Potts model in the vicinity of the first order bulk transition point have been studied by exact calculations and by density matrix renormalization group techniques. For the…

Statistical Mechanics · Physics 2009-10-31 Ferenc Igloi , Enrico Carlon

The finite-temperature density-matrix renormalization-group method is applied to the one-dimensional Kondo lattice model near half filling to study its thermodynamics. The spin and charge susceptibilities and entropy are calculated down to…

Strongly Correlated Electrons · Physics 2009-10-31 N. Shibata , H. Tsunetsugu

Computation of entropy in liquids and liquid crystal phases is a big challenge in statistical physics. In this work, we extend the two-phase thermodynamic model (2PT) to shape anisotropic soft repulsive spherocylinders (SRSs) and report the…

Soft Condensed Matter · Physics 2023-08-16 Jayeeta Chattopadhyay , Shiang-Tai Lin , Prabal K. Maiti