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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 self-organized Monte Carlo simulations of 2D Ising ferromagnet on the square lattice are performed. The essence of devised simulation method is the artificial dynamics consisting of the single-spin-flip algorithm of Metropolis…

计算物理 · 物理学 2009-11-10 Denis Horvath , Martin Gmitra

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

A new Monte-Carlo method for long-range interacting systems is presented. This method consists of eliminating interactions stochastically with the detailed balance condition satisfied. When a pairwise interaction $V_{ij}$ of a $N$-particle…

无序系统与神经网络 · 物理学 2015-05-13 Munetaka Sasaki , Fumitaka Matsubara

A cluster Monte Carlo method for systems of classical spins with purely dipolar couplings is presented. It is tested and applied for finite arrays of perpendicular Ising dipoles on the triangular lattice. This model is a modification with…

统计力学 · 物理学 2009-11-07 Ulrich K. Roessler

Simulating long-range interacting systems is a challenging task due to its computational complexity that the computational effort for each local update is of order $\cal{O}$$(N)$, where $N$ is the size of system. Recently, a technique,…

计算物理 · 物理学 2025-11-14 Zhijie Fan , Chao Zhang , Youjin Deng

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

Monte Carlo simulations are widely employed to measure the physical properties of glass-forming liquids in thermal equilibrium. Combined with local Monte Carlo moves, the Metropolis algorithm can also be used to simulate the relaxation…

统计力学 · 物理学 2024-09-23 Ludovic Berthier , Federico Ghimenti Frédéric van Wijland

We propose a method for simulating the stochastic dynamics of classical spin systems with long-range interactions. The method incorporates the stochastic cutoff (SCO) method, which is originally specialized for simulating equilibrium state,…

统计力学 · 物理学 2019-12-09 Taichi Hinokihara , Yuta Okuyama , Munetaka Sasaki , Seiji Miyashita

We present a lattice Monte Carlo simulation for a multiblock copolymer chain of length N=240 and microarchitecture $(10-10)_{12}$.The simulation was performed using the Monte Carlo method with the Metropolis algorithm. We measured average…

软凝聚态物质 · 物理学 2017-08-24 Jakub Krajniak , Michal Banaszak

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 propose the clock Monte Carlo technique for sampling each successive chain step in constant time. It is built on a recently proposed factorized transition filter and its core features include its O(1) computational complexity and its…

统计力学 · 物理学 2019-10-17 Manon Michel , Xiaojun Tan , Youjin Deng

The Cooperative Motion Algorithm is an efficient lattice method to simulate dense polymer systems and is often used with two different criteria to generate a Markov chain in the configuration space. While the first method is the…

统计力学 · 物理学 2016-11-18 Piotr Knychala , Michal Banaszak

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

A comprehensive study of the two-dimensional (2D) compass model on the square lattice is performed for classical and quantum spin degrees of freedom using Monte Carlo and quantum Monte Carlo methods. We employ state-of-the-art…

统计力学 · 物理学 2008-09-05 Sandro Wenzel , Wolfhard Janke

We present a lattice Monte Carlo algorithm based on the one originally proposed by Maggs and Rossetto for simulating electrostatic interactions in inhomogeneous dielectric media. The original algorithm is known to produce attractive…

软凝聚态物质 · 物理学 2017-05-12 Xiaozheng Duan , Issei Nakamura , Zhen-Gang Wang

We show results of Monte Carlo simulations of an array of monodispersed magnetic monodomain particles, in a square lattice with dipolar interactions and perpendicular uniaxial anisotropy. We first show the equilibrium phase diagram of the…

材料科学 · 物理学 2008-10-17 Daniel A Stariolo , Orlando V. Billoni

Monte Carlo simulations are used to study the magnetic relaxation of a system of single domain particles with dipolar interactions modeled by a chain of Heisenberg classical spins. We show that the so-called $T\ln(t/\tau_0)$ method can be…

材料科学 · 物理学 2007-05-23 Oscar Iglesias , Amilcar Labarta

Monte Carlo simulation based on Metropolis algorithm has been used with a great success to analyze the dynamic phase transition properties of a single spherical core-shell nanoparticle system with a spin-3/2 core surrounded by a spin-1…

统计力学 · 物理学 2015-06-15 Erol Vatansever , Hamza Polat

We study a generalized clock model on the simple cubic lattice. The parameter of the model can be tuned such that the amplitude of the leading correction to scaling vanishes. In the main part of the study we simulate the model with $Z_8$…

统计力学 · 物理学 2020-01-09 Martin Hasenbusch
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