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We simulate the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. We perform a finite size scaling study of lattices of a linear size up to L=360 to obtain accurate estimates…

统计力学 · 物理学 2013-05-29 Martin Hasenbusch

We investigate the location of the critical and tricritical points of the three-dimensional Blume-Capel model by analyzing the behavior of the first Lee-Yang zero, the density of partition function zeros, and higher-order cumulants of the…

统计力学 · 物理学 2024-12-30 Leïla Moueddene , Nikolaos G. Fytas , Bertrand Berche

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

统计力学 · 物理学 2022-03-14 Mouhcine Azhari , Unjong Yu

We study purely dissipative relaxational dynamics in the three-dimensional Ising universality class. To this end, we simulate the improved Blume-Capel model on the simple cubic lattice by using local algorithms. We perform a finite size…

统计力学 · 物理学 2020-02-28 Martin Hasenbusch

We report on numerical simulations of the two-dimensional spin-$1$ Blume-Capel ferromagnet embedded in a triangular lattice. Utilizing a range of Monte Carlo and finite-size scaling techniques, we explore several critical aspects along the…

统计力学 · 物理学 2025-02-28 Dimitrios Mataragkas , Alexandros Vasilopoulos , Nikolaos G. Fytas , Dong-Hee Kim

We study the special point in the phase diagram of a semi-infinite system, where the bulk transition is in the three-dimensional Ising universality class. To this end we perform a finite size scaling study of the improved Blume-Capel model…

统计力学 · 物理学 2012-05-21 Martin Hasenbusch

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

统计力学 · 物理学 2015-06-25 F. W. S. Lima , J. A. Plascak

Monte Carlo simulations are used to investigate the tricritical point properties of a 2d spin fluid. Measurements of the scaling operator distributions are employed in conjunction with a finite-size scaling analysis to locate the…

凝聚态物理 · 物理学 2009-10-28 N. B. Wilding , P. Nielaba

We simulate the improved $(q+1)$-state clock model on the simple cubic lattice at the critical point on lattices of a linear size up to $L=960$. We compute operator product expansion (OPE) coefficients for the three-dimensional XY…

统计力学 · 物理学 2021-02-03 Martin Hasenbusch

We explicitly demonstrate the universality of critical dynamics through unprecedented large-scale GPU-based simulations of two out-of-equilibrium processes, comparing the behavior of spin-$1/2$ Ising and spin-$1$ Blume-Capel models on a…

We study a generalized Blume-Capel model on the simple cubic lattice. In addition to the nearest neighbor coupling there is a next to next to nearest neighbor coupling. In order to quantify spatial anisotropy, we determine the correlation…

统计力学 · 物理学 2021-08-04 Martin Hasenbusch

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

While the 3d Ising model has defied analytic solution, various numerical methods like Monte Carlo, MCRG and series expansion have provided precise information about the phase transition. Using Monte Carlo simulation that employs the Wolff…

计算物理 · 物理学 2018-06-12 Alan M. Ferrenberg , Jiahao Xu , David P. Landau

We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume $N = L^3$, with $L$ up to $2048$. We obtain the precise location of the critical point by…

The Ising model S=1/2 and the S=1 model are studied by efficient Monte Carlo schemes on the (3,4,6,4) and the (3,3,3,3,6) Archimedean lattices. The algorithms used, a hybrid Metropolis-Wolff algorithm and a parallel tempering protocol, are…

统计力学 · 物理学 2015-06-04 A. Malakis , G. Gulpinar , Y. Karaaslan , T. Papakonstantinou , G. Aslan

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections…

统计力学 · 物理学 2015-03-17 Mario Collura

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and…

无序系统与神经网络 · 物理学 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

Using single cluster flip Monte Carlo simulations we accurately determine new finite size scaling functions which are expressed only in terms the variable $x = \xi_L / L$, where $\xi_L$ is the correlation length in a finite system of size…

凝聚态物理 · 物理学 2009-10-28 Jae-Kwon Kim , Adauto J. F. de Souza\cite{addr} , D. P. Landau

We report extensive Monte Carlo simulations of the Widom-Rowlinson lattice model in two and three dimensions. Our results yield precise values for the critical activities and densities, and clearly place the critical behavior in the Ising…

chem-ph · 物理学 2016-08-31 Ronald Dickman , George Stell

Thanks to the impressive progress of conformal bootstrap methods we have now very precise estimates of both scaling dimensions and OPE coefficients for several 3D universality classes. We show how to use this information to obtain similarly…

高能物理 - 理论 · 物理学 2016-07-28 Michele Caselle , Gianluca Costagliola , Nicodemo Magnoli
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