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Related papers: Critical amplitude ratios of the Baxter-Wu model

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Monte Carlo (MC) simulations and series expansions (SE) data for the energy, specific heat, magnetization, and susceptibility of the three-state and four-state Potts model and Baxter-Wu model on the square lattice are analyzed in the…

Statistical Mechanics · Physics 2009-03-12 Bertrand Berche , Paolo Butera , Wolfhard Janke , Lev Shchur

The two-dimensional spin-1 Baxter-Wu model is studied by using Monte Carlo simulations. The standard single-spin-flip Metropolis algorithm is used to generate the configurations from which the order parameter, specific heat and magnetic…

Classical Physics · Physics 2015-06-26 M. L. M. Costa , J. A. Plascak

Monte Carlo (MC) simulations and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the ferromagnetic 4-state Potts model on the square lattice are analyzed in a vicinity of the critical point in…

Statistical Mechanics · Physics 2009-01-27 Lev N. Shchur , Bertrand Berche , Paolo Butera

The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu…

Statistical Mechanics · Physics 2026-05-14 Dimitrios Mataragkas , Alexandros Vasilopoulos , Dong-Hee Kim , Nikolaos G. Fytas

Monte Carlo simulations and series expansion data for the energy, specific heat, magnetization and susceptibility of the 3-state Potts model on the square lattice are analyzed in the vicinity of the critical point in order to estimate…

Statistical Mechanics · Physics 2008-06-30 Lev N. Shchur , Bertrand Berche , Paolo Butera

In this work we use a refined entropic sampling technique based on the Wang-Landau method to study the spin-$1/2$ Baxter-Wu model. The static critical exponents were determined as $\alpha=0.6545(68)$, $\beta=0.0818(30)$,…

Computational Physics · Physics 2016-10-24 L. N. Jorge , L. S. Ferreira , S. A. Leão , A. A. Caparica

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $\Delta$ with the goal of determining the universality class of transitions along the second-order part of the…

Statistical Mechanics · Physics 2023-08-28 A. R. S. Macedo , A. Vasilopoulos , M. Akritidis , J. A. Plascak , N. G. Fytas , M. Weigel

We investigate aspects of universality in the two-dimensional (2D) spin-$1$ Baxter-Wu model in a crystal field $\Delta$ using a parallel version of the multicanonical algorithm employed at constant temperature $T$. A detailed finite-size…

Statistical Mechanics · Physics 2022-04-04 Nikolaos G. Fytas , Alexandros Vasilopoulos , Erol Vatansever , Anastasios Malakis , Martin Weigel

We study the question of universality in the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal field $\Delta$. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau…

Statistical Mechanics · Physics 2022-05-26 Alexandros Vasilopoulos , Nikolaos G. Fytas , Erol Vatansever , Anastasios Malakis , Martin Weigel

We present a Monte Carlo study of various universal amplitude ratios of the two dimensional q=4 Potts model. We simulated the model close to criticality in both phases taking care to keep the systematic errors, due to finite size effects…

Condensed Matter · Physics 2009-10-31 Michele Caselle , Roberto Tateo , Stefano Vinti

We investigate the low-energy properties as well as quantum and thermal phase transitions of the Baxter-Wu model in a transverse magnetic field. Our study relies on stochastic series expansion quantum Monte Carlo and on series expansions…

Strongly Correlated Electrons · Physics 2014-07-09 Sylvain Capponi , Saeed S. Jahromi , Fabien Alet , Kai Phillip Schmidt

A classic three-dimensional spin model, based upon the Baxter-Wu scheme, is presented. It is found, by entropic sampling simulations, that the behavior of the energy and magnetization fourth-order cumulants points out to a first order phase…

Statistical Mechanics · Physics 2019-10-02 L. N. Jorge , L. S. Ferreira , A. A. Caparica

Monte Carlo (MC) and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the two-dimensional 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic…

Statistical Mechanics · Physics 2008-11-26 Lev Shchur , Bertrand Berche , Paolo Butera

We study a self-dual generalization of the Baxter-Wu model, employing results obtained by transfer matrix calculations of the magnetic scaling dimension and the free energy. While the pure critical Baxter-Wu model displays the critical…

Statistical Mechanics · Physics 2017-10-18 H. W. J. Blöte , WenAn Guo , M. P. Nightingale

We investigate the short-time critical dynamics of the Baxter-Wu (BW) and $n=3$ Turban (3TU) models to estimate their global persistence exponent $\theta _{g}$. We conclude that this new dynamical exponent can be useful in detecting…

Statistical Mechanics · Physics 2017-02-20 E. Arashiro , H. A. Fernandes , J. R. Drugowich de Felicio

The phase diagram and critical behavior of the spin-1 Baxter-Wu model with a crystal field in two dimensions is explored by renormalization group, conventional finite-size scaling and conformal invariance techniques. We found that the phase…

Statistical Mechanics · Physics 2009-11-10 M. L. M. Costa , J. C. Xavier , J. A. Plascak

Monte Carlo and series expansion data for the energy, specific heat, magnetisation and susceptibility of the 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed. Estimates…

Statistical Mechanics · Physics 2010-07-06 Bertrand Berche , Paolo Butera , Lev Shchur

The sign-problematic generalized Baxter-Wu (GBW) model with asymmetric complex couplings is mapped onto a one-dimensional quantum model. Utilizing the model's exactly known critical properties, we study the relation between the conventional…

Strongly Correlated Electrons · Physics 2026-03-25 Ye Ling , Yuting Wang , Wenan Guo , Yuhai Liu

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in a crystal field using entropic sampling simulations with the joint density of states. We obtain the temperature-crystal field phase diagram, which…

Statistical Mechanics · Physics 2021-06-02 L. N. Jorge , P. H. L. Martins , C. J. DaSilva , L. S. Ferreira , A. A. Caparica

We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.0380(4), beta=0.3485(2), and delta=4.780(2). We observe a…

Statistical Mechanics · Physics 2008-11-26 Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Paolo Rossi , Ettore Vicari
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