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Using exact diagonalization, Monte-Carlo, and mean-field techniques, characteristic temperature scales for ferromagnetic order are discussed for the Ising and the classical anisotropic Heisenberg model on finite lattices in one and two…

介观与纳米尺度物理 · 物理学 2011-04-12 E. Y. Vedmedenko , N. Mikuszeit , T. Stapelfeldt , R. Wieser , M. Potthoff , A. Lichtenstein , R. Wiesendanger

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

凝聚态物理 · 物理学 2009-10-28 M. E. J. Newman , G. T. Barkema

We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a…

统计力学 · 物理学 2009-02-17 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

We study structural phase transition of polymer-grafted colloidal particles by Monte Carlo simulations on hard spherical particles. The interaction potential, which has a weak repulsive step outside the hard core, was validated with use of…

软凝聚态物质 · 物理学 2007-05-23 Yuki Norizoe , Toshihiro Kawakatsu

In this paper, we present a parallel algorithm for Monte Carlo simulation of the 2D Ising Model to perform efficiently on a cluster computer using MPI. We use C++ programming language to implement the algorithm. In our algorithm, every…

计算物理 · 物理学 2018-11-13 Dariush Hassani , Shahnoosh Rafibakhsh

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

统计力学 · 物理学 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

The advent of quantum computing has heralded a renewed interest in physical memories - physically realizable structures that offer reliable data storage with error correction only at the point of access. Here, we examine a model of a…

量子物理 · 物理学 2012-01-09 Francesca Valery Day , Sean Barrett

We apply a new updating algorithm scheme to investigate the critical behavior of the two-dimensional ferromagnetic Ising model on a triangular lattice with nearest neighbour interactions. The transition is examined by generating accurate…

统计力学 · 物理学 2015-05-13 Zhi-Huan Luo , Mushtaq Loan , Yan Liu , Jian-Rong Lin

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

凝聚态物理 · 物理学 2009-10-28 Koji Hukushima , Koji Nemoto

Monte Carlo computer simulations are virtually the only way to analyze the thermodynamic behavior of a system in a precise way. However, the various existing methods exhibit extreme differences in their efficiency, depending on model…

统计力学 · 物理学 2011-07-05 Michael Bachmann

A generalization to the quantum case of a recently introduced algorithm (Y. Tomita and Y. Okabe, Phys. Rev. Lett. {\bf 86}, 572 (2001)) for the determination of the critical temperature of classical spin models is proposed. We describe a…

强关联电子 · 物理学 2009-11-07 F. Alet , E. Sorensen

In this work, we employed Monte Carlo simulations to study the Ising, $XY$, and Heisenberg models on a simple cubic lattice, where the system models evolve toward the steady state under the influence of competition between one- and two-spin…

统计力学 · 物理学 2024-12-23 R. A. Dumer , M. Godoy

We introduce a Metropolis-Hastings Markov chain for Boltzmann distributions of classical spin systems. It relies on approximate tensor network contractions to propose correlated collective updates at each step of the evolution. We present…

We propose a fast and general predecision scheme for Metropolis Monte Carlo simulation of $d$-dimensional long-range interacting lattice models. For potentials of the form $V(r)=r^{-d-\sigma}$, this reduces the computational complexity from…

统计力学 · 物理学 2025-08-14 Fabio Müller , Wolfhard Janke

We present the results of Monte Carlo simulation for a Kondo lattice model in which itinerant electrons interact with Ising spins with spin-ice type easy-axis anisotropy on a pyrochlore lattice. We demonstrate the efficiency of the…

强关联电子 · 物理学 2012-12-19 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

We have developed an efficient Monte Carlo algorithm, which accelerates slow Monte Carlo dynamics in quasi-one-dimensional Ising spin systems. The loop algorithm of the quantum Monte Carlo method is applied to the classical spin models with…

统计力学 · 物理学 2009-11-13 Tota Nakamura

We propose a self-adapted Monte Carlo approach to automatically determine the critical temperature by simulating two systems with different sizes at the same temperature. The temperature is increased or decreased by checking the short-time…

统计力学 · 物理学 2020-11-10 Tasrief Surungan , Yutaka Okabe

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

强关联电子 · 物理学 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

We propose an efficient Markov Chain Monte Carlo method for sampling equilibrium distributions for stochastic lattice models, capable of handling correctly long and short-range particle interactions. The proposed method is a Metropolis-type…

数值分析 · 数学 2010-06-21 Evangelia Kalligiannaki , Markos A. Katsoulakis , Petr Plechac

We study an induced dynamics in the space of energy of single-spin-flip Monte Carlo algorithm. The method gives an efficient reweighting technique. This dynamics is shown to have relaxation times proportional to the specific heat. Thus, it…

统计力学 · 物理学 2009-10-31 Jian-Sheng Wang , Tien Kiat Tay , Robert H. Swendsen