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Related papers: Critical Binder cumulant of two-dimensional Ising …

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The Binder cumulant at the phase transition of Ising models on square lattices with various ferromagnetic nearest and next-nearest neighbour couplings is determined using mainly Monte Carlo techniques. We discuss the possibility to relate…

Statistical Mechanics · Physics 2007-05-23 W. Selke , L. N. Shchur

The Binder cumulant at the phase transition of Ising models on square lattices with ferromagnetic couplings between nearest neighbors and with competing antiferromagnetic couplings between next--nearest neighbors, along only one diagonal,…

Statistical Mechanics · Physics 2011-01-12 W. Selke , L. N. Shchur

Using Monte Carlo techniques, the critical Binder cumulant U* of isotropic nearest-neighbour Ising models on square and triangular lattices is studied. For rectangular shapes, employing periodic boundary conditions, U* is found to show the…

Statistical Mechanics · Physics 2007-05-23 W. Selke

We have used Monte Carlo simulations to observe the magnetic behaviour of Ising thin-films with cubic lattice structures as a function of temperature and thickness especially in the critical region. The fourth order Binder cumulant is used…

Statistical Mechanics · Physics 2009-11-10 Y. Laosiritaworn , J. Poulter , J. B. Staunton

We formulate the conformal mapping between $R^3$ and $S^3$, the 3 sphere. This mapping is applied to the critical Ising model. From this mapping, we calculate the second and fourth moments of the magnetization density, and using those…

High Energy Physics - Theory · Physics 2018-08-20 Daniel Berkowitz

The high-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy ion collisions. In this paper, using parametric representation of the 3-dimensional Ising model, the sign…

Nuclear Theory · Physics 2021-06-17 Xue Pan , Mingmei Xu , Yuanfang Wu

Solving numerically master equation for a recently introduced urn model, we show that the fourth- and sixth-order cumulants remain constant along an exactly located line of critical points. Obtained values are in very good agreement with…

Statistical Mechanics · Physics 2016-09-07 A. Lipowski , M. Droz

We present a numerical scheme for efficiently extracting the higher-order moments and cumulants of various operators on spin systems represented as tensor product states, for both finite and infinite systems, and present several…

Statistical Mechanics · Physics 2015-09-09 Colin West , Artur Garcia-Saez , Tzu-Chieh Wei

Fourth-order cumulants of physical quantities have been used to characterize the nature of a phase transition. In this paper we report some Monte Carlo simulations to illustrate the behavior of fourth-order cumulants of magnetization and…

Statistical Mechanics · Physics 2015-06-25 Shan-Ho Tsai , Silvio R. A. Salinas

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

The critical behavior of the Binder cumulant for Ising spin glasses in dimension four are studied through simulation measurements. Data for the bimodal interaction model are compared with those for the Laplacian interaction model. Special…

Disordered Systems and Neural Networks · Physics 2015-04-22 P. H. Lundow , I. A. Campbell

We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin re-orientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the…

Statistical Mechanics · Physics 2009-10-31 K. Nho , E. Manousakis

We reanalyze transfer matrix and Monte Carlo results for the critical Binder cumulant U* of an anisotropic two-dimensional Ising model on a square lattice in a square geometry with periodic boundary conditions. Spins are coupled between…

Statistical Mechanics · Physics 2013-04-25 Boris Kastening

Within the framework of a generalized Ising model, a one-dimensional magnetic of a finite length with free ends is considered. The correlation length exponent, dynamic critical exponent z of the magnet is calculated taking into account the…

Materials Science · Physics 2007-05-23 D. V. Spirin , V. N. Udodov

We numerically investigate the three-dimensional O(6) model on 12^3 to 120^3 lattices within the critical region at zero magnetic field, as well as at finite magnetic field on the critical isotherm and for several fixed couplings in the…

High Energy Physics - Lattice · Physics 2009-11-10 Sven Holtmann , Thomas Schulze

High-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy-ion collision experiments. In this paper, using the parametric representation of the three-dimensional Ising model which…

Nuclear Theory · Physics 2022-03-22 Xue Pan

Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, $O(2)$ or $O(4)$ spin models, the critical behavior of…

Statistical Mechanics · Physics 2015-06-16 Xue Pan , Lizhu Chen , X. S. Chen , Yuanfang Wu

We investigate by Monte Carlo simulations the critical properties of the three-dimensional bond-diluted Ising model. The phase diagram is determined by locating the maxima of the magnetic susceptibility and is compared to mean-field and…

Statistical Mechanics · Physics 2010-07-13 P. E. Berche , C. Chatelain , B. Berche , W. Janke

The order parameter cumulants of infinite matrix product ground states are evaluated across a quantum phase transition. A scheme using the Binder cumulant, finite-entanglement scaling and scaling functions to obtain the critical point and…

Strongly Correlated Electrons · Physics 2020-01-01 Jason C. Pillay , Ian P. McCulloch

We study the critical behavior of two-dimensional short-range quantum spin glasses by numerical simulations. Using a parallel tempering algorithm, we calculate the Binder cumulant for the Ising spin glass in a transverse magnetic field with…

Statistical Mechanics · Physics 2016-07-26 D. A. Matoz-Fernandez , F. Roma
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