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We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length…

凝聚态物理 · 物理学 2009-10-22 A. P. Gottlob , M. Hasenbusch

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…

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

统计力学 · 物理学 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order…

统计力学 · 物理学 2013-05-24 Suman Sinha

We calculate the high-temperature series of the magnetic susceptibility and the second and fourth moments of the correlation function for the XY model on the square lattice to order $\beta^{33}$ by applying the improved algorithm of the…

统计力学 · 物理学 2009-11-13 H. Arisue

Magnetic thin films and 2D arrays of magnetic nanoparticles exhibit unique physical properties that make them valuable for a wide range of technological applications. In such systems, dipolar interactions play a crucial role in determining…

统计力学 · 物理学 2025-08-15 S. Ismailzadeh , M. D. Niry

The lattice model of Coulomb Glass in two dimensions with box-type random field distribution is studied at zero temperature for system size upto $96^{2}$. To obtain the minimum energy state we annealed the system using Monte Carlo…

无序系统与神经网络 · 物理学 2017-05-29 Preeti Bhandari , Vikas Malik , Syed Rashid Ahmad

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…

统计力学 · 物理学 2009-11-10 Y. Laosiritaworn , J. Poulter , J. B. Staunton

We investigated the critical behavior of the Ising model in a triangular lattice with ferro and anti-ferromagnetic interactions modulated by the Fibonacci sequence, by using finite-size numerical simulations. Specifically, we used a replica…

无序系统与神经网络 · 物理学 2018-05-16 T. F. A. Alves , G. A. Alves , M. S. Vasconcelos

The fourth-order cumulant of the magnetization, the Binder cumulant, is determined at the phase transition of Ising models on square and triangular lattices, using Monte Carlo techniques. Its value at criticality depends sensitively on…

统计力学 · 物理学 2007-05-23 W. Selke

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…

高能物理 - 格点 · 物理学 2009-11-10 Sven Holtmann , Thomas Schulze

Numerically we simulate the short-time behaviour of the critical dynamics for the two dimensional Ising model and Potts model with an initial state of very high temperature and small magnetization. Critical initial increase of the…

凝聚态物理 · 物理学 2009-10-28 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This…

高能物理 - 格点 · 物理学 2009-10-22 Christian Holm , Wolfhard Janke

We use the single-cluster Monte Carlo update algorithm to simulate the three-dimensional classical Heisenberg model in the critical region on simple cubic lattices of size $L^3$ with $L=12, 16, 20, 24, 32, 40$, and $48$. By means of…

高能物理 - 格点 · 物理学 2009-10-22 Christian Holm , Wolfhard Janke

By Monte Carlo simulation we study the critical exponents governing the transition of the three-dimensional classical O(4) Heisenberg model, which is considered to be in the same universality class as the finite-temperature QCD with…

高能物理 - 格点 · 物理学 2009-10-22 K. Kanaya , S. Kaya

We have performed Monte Carlo studies of the 3D $XY$ model with random uniaxial anisotropy, which is a model for randomly pinned spin-density waves. We study $L \times L \times L$ simple cubic lattices, using $L$ values in the range 16 to…

无序系统与神经网络 · 物理学 2009-06-25 Ronald Fisch

We consider the planar Ising model in a finite square box and we replace the temperature parameter with a function depending on the magnetization. This creates a feedback from the spin configuration onto the parameter, which drives the…

概率论 · 数学 2021-02-22 Nicolas Forien

We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square lattices of a linear size up to L=2048.We derive the finite size behaviour of…

统计力学 · 物理学 2009-11-11 Martin Hasenbusch

The three-dimensional XY model is investigated in the presence of a uniform magnetic field applied in the $X$-direction. The nearest neighbour intraplanar interaction is considered ferromagnetic, and the interplanar nearest neighbour…

统计力学 · 物理学 2022-08-30 Muktish Acharyya , Erol Vatansever

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems have been considered,…

统计力学 · 物理学 2007-05-23 J. Kaupuzs
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