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We present a study of the parallel tempering (replica exchange) Monte Carlo method, with special focus on the feedback-optimized parallel tempering algorithm, used for generating an optimal set of simulation temperatures. This method is…

统计力学 · 物理学 2014-10-15 Krzysztof Lewandowski , Piotr Knychala , Michal Banaszak

We have simulated the classical Heisenberg antiferromagnet on a triangular lattice using a local Monte Carlo algorithm. The behavior of the correlation length $\xi$, the susceptibility at the ordering wavevector $\chi(\bf Q)$, and the spin…

凝聚态物理 · 物理学 2009-10-28 M. Wintel , H. U. Everts , W. Apel

We propose a modified power method for computing the subdominant eigenvalue $\lambda_2$ of a matrix or continuous operator. Here we focus on defining simple Monte Carlo methods for its application. The methods presented use random walkers…

统计力学 · 物理学 2012-12-04 B. M. Rubenstein , J. E. Gubernatis , J. D. Doll

Monte Carlo simulations, in which the Schrodinger equation is solved at each Monte Carlo sweep, are employed to assess the influence of magnetization fluctuations,short-range antiferromagnetic interactions, disorder, magnetic polaron…

材料科学 · 物理学 2007-05-23 D. Kechrakos , N. Papanikolaou , K. N. Trohidou , T. Dietl

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte…

统计力学 · 物理学 2009-10-30 A. L. Ferreira , W. Korneta

Monte Carlo simulations using entropic sampling to estimate the number of configurations of a given energy are a valuable alternative to traditional methods. We introduce {\it tomographic} entropic sampling, a scheme which uses multiple…

统计力学 · 物理学 2015-05-28 Ronald Dickman , A. G. Cunha-Netto

We propose a new Monte Carlo technique in which the degeneracy of energy states is obtained with a Markovian process analogous to that of Metropolis used currently in canonical simulations. The obtained histograms are much broader than…

统计力学 · 物理学 2009-10-30 P. M. C. de Oliveira , T. J. P. Penna , H. J. Herrmann

The basic idea of fast Monte Carlo (MC) simulations is to perform particle-based MC simulations with the excluded-volume interactions modeled by "soft" repulsive potentials that allow particle overlapping. This gives much faster system…

软凝聚态物质 · 物理学 2012-01-24 Qiang Wang

We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

统计力学 · 物理学 2012-04-16 Stephen Whitelam

We present a numerical analysis of the entropy rate and statistical complexity related to the spin flip dynamics of the 2D Ising Ferromagnet at different temperatures T. We follow an information theoretic approach and test three different…

统计力学 · 物理学 2012-07-02 O. Melchert , A. K. Hartmann

A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the ground state of a short-range quantum spin-glass model, namely, the two-dimensional Edwards-Anderson Hamiltonian with transverse field, featuring…

无序系统与神经网络 · 物理学 2024-12-24 L. Brodoloni , S. Pilati

We studied the critical behavior of the $J_{1}-J_{2}$ spin-{1/2} Ising model in the square lattice by considering $J_{1}$ fixed and $J_{2}$ as random interactions following discrete and continuous probability distribution functions. The…

统计力学 · 物理学 2021-12-23 Octavio D. Rodriguez Salmon , Minos A. Neto , Thiago Lobo , Francisco Dinola Neto

Probability distributions of the magnetic work are computed for the 2D Ising model by means of Monte Carlo simulations. The system is first prepared at equilibrium for three temperatures below, at and above the critical point. A magnetic…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Dragi Karevski

The jump-walking Monte-Carlo algorithm is revisited and updated to study the equilibrium properties of systems exhibiting quasi-ergodicity. It is designed for a single processing thread as opposed to currently predominant algorithms for…

统计力学 · 物理学 2017-04-18 Zilvinas Rimas , Sergei Taraskin

We introduce a Monte Carlo method, as a modification of existing cluster algorithms, which allows simulations directly on systems of infinite size, and for quantum models also at beta=infinity. All two-point functions can be obtained,…

统计力学 · 物理学 2007-05-23 H. G. Evertz , W. von der Linden

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

The Monte Carlo with Absorbing Markov Chains (MCAMC) method is introduced. This method is a generalization of the rejection-free method known as the $n$-fold way. The MCAMC algorithm is applied to the study of the very low-temperature…

统计力学 · 物理学 2009-11-07 M. A. Novotny

Computational experiments are used to show that grain boundary mobility is independent of driving force in a two-dimensional, square-lattice Ising model with Metropolis kinetics. This is established over the entire Monte Carlo temperature…

材料科学 · 物理学 2009-03-03 Liangzhe Zhang , Timothy Bartel , Mark T. Lusk

We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices with up to 80,000 sites which are linked together according to the Voronoi/Delaunay prescription. In one set of…

高能物理 - 格点 · 物理学 2009-09-25 W. Janke , M. Katoot , R. Villanova

The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D-ferromagnetic Ising model on three dimensional Voronoi-Delaunay lattices. It is assumed that the coupling factor $J$ varies with the distance…

无序系统与神经网络 · 物理学 2007-05-23 F. W. S. Lima , U. M. S. Costa , R. N. Costa Filho