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This discussion serves as an introduction to the use of Monte Carlo simulations as a useful way to evaluate the observables of a ferromagnet. Key background is given about the relevance and effectiveness of this stochastic approach and in…

统计力学 · 物理学 2008-03-04 Jacques Kotze

We show that the latest version of massively parallel processing associative string processing architecture (System-V) is applicable for fast Monte Carlo simulation if an effective on-processor random number generator is implemented. Our…

计算物理 · 物理学 2016-11-15 G. Odor , A. Krikelis , F. Vesztergombi , F. Rohrbach

We describe the hardwired implementation of algorithms for Monte Carlo simulations of a large class of spin models. We have implemented these algorithms as VHDL codes and we have mapped them onto a dedicated processor based on a large FPGA…

A new implementation of many-body calculations is of paramount importance in the field of computational physics. In this study, we leverage the capabilities of Field Programmable Gate Arrays (FPGAs) for conducting quantum many-body…

强关联电子 · 物理学 2025-04-17 Songtai Lv , Yang Liang , Yuchen Meng , Xiaochen Yao , Jincheng Xu , Yang Liu , Qibin Zheng , Haiyuan Zou

Massively parallel architectures offer the potential to significantly accelerate an application relative to their serial counterparts. However, not all applications exhibit an adequate level of data and/or task parallelism to exploit such…

计算物理 · 物理学 2018-08-08 Salvatore Cardamone , Jonathan R. Kimmitt , Hugh G. A. Burton , Alex J. W. Thom

The Monte Carlo method is a powerful technique for computing thermodynamic magnetic states of otherwise unsolvable spin Hamiltonians, but the method becomes computationally prohibitive with increasing number of spins and the simulation of…

计算物理 · 物理学 2021-06-22 Michalis Charilaou

The Ising model is a simple statistical model for ferromagnetism. There are analytic solutions for low dimensions and very efficient Monte Carlo methods, such as cluster algorithms, for simulating this model in special cases. However most…

计算物理 · 物理学 2021-08-25 Johann Ostmeyer , Evan Berkowitz , Thomas Luu , Marcus Petschlies , Ferenc Pittler

To investigate order-order interfaces, we perform multimagnetical Monte Carlo simulations of the $2D$ and $3D$ Ising model. Stringent tests of the numerical methods are performed by reproducing with high precision exact $2D$ results. In the…

高能物理 - 格点 · 物理学 2015-06-25 U. Hansmann , B. A. Berg , T. Neuhaus

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

计算物理 · 物理学 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

Monte Carlo simulations are methods for simulating statistical systems. The aim is to generate a representative ensemble of configurations to access thermodynamical quantities without the need to solve the system analytically or to perform…

统计力学 · 物理学 2015-06-19 Jean-Charles Walter , Gerard Barkema

This paper is devoted to computational algorithms designed to describe the classical Ising magnet in some specific cases when an additional macroscopic restriction in form of constant charge density exists in the system. We developed and…

计算物理 · 物理学 2023-01-30 K. S. Budrin , V. A. Ulitko , A. A. Chikov , Yu. D. Panov , A. S. Moskvin

Neural quantum states efficiently represent many-body wavefunctions with neural networks, but the cost of Monte Carlo sampling limits their scaling to large system sizes. Here we address this challenge by combining sparse Boltzmann machine…

Ising annealer is a promising quantum-inspired computing architecture for combinatorial optimization problems. In this paper, we introduce an Ising annealer based on the Hamiltonian Monte Carlo, which updates the variables of all dimensions…

量子物理 · 物理学 2025-01-15 Hao Wang , Zixuan Liu , Zhixin Xie , Langyu Li , Zibo Miao , Wei Cui , Yu Pan

Ising Monte Carlo simulations of the random-field Ising system Fe(0.80)Zn(0.20)F2 are presented for H=10T. The specific heat critical behavior is consistent with alpha approximately 0 and the staggered magnetization with beta approximately…

无序系统与神经网络 · 物理学 2009-10-31 W. C. Barber , D. P. Belanger

An algoritm for the simulation of the 3--dimensional random field Ising model with a binary distribution of the random fields is presented. It uses multi-spin coding and simulates 64 physically different systems simultaneously. On one…

高能物理 - 格点 · 物理学 2009-10-22 H. Rieger

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

统计力学 · 物理学 2013-01-23 Ike Q. Sikakana

It is shown by Monte Carlo method that the finite size scaling (FSS) holds in the two dimensional random-coupled Ising ferromagnet. It is also demonstrated that the form of universal FSS function constructed via novel FSS scheme depends on…

统计力学 · 物理学 2009-10-31 Jae-Kwon Kim

We study the thermodynamic and magnetic properties of an Ising bilayer ferrimagnet. The system is composed of two interacting non-equivalent planes in which the intralayer couplings are ferromagnetic while the interlayer interactions are…

统计力学 · 物理学 2017-09-11 Ian Jordy Lopez Diaz , Nilton da Silva Branco

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

统计力学 · 物理学 2011-07-21 Muktish Acharyya

We have investigated by Monte-Carlo simulation the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. We have developed an…

统计力学 · 物理学 2009-02-06 M. Grousson , G. Tarjus , P. Viot
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