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Monte Carlo simulation is used to study the dynamical crossover from single file diffusion to normal diffusion in fluids confined to narrow channels. We show that the long time diffusion coefficients for a series of systems involving hard…

Soft Condensed Matter · Physics 2015-06-17 Surajith N. Wanasundara , Raymond J. Spiteri , Richard K. Bowles

The many-body Monte Carlo method is used to evaluate the frequency dependent conductivity and the average mobility of a system of hopping charges, electronic or ionic on a one-dimensional chain or channel of finite length. Two cases are…

Materials Science · Physics 2009-11-10 Lazaros K. Gallos , Bijan Movaghar , Laurens D. A. Siebbeles

An approximate treatment of exchange in finite-temperature path integral Monte Carlo simulations for fermions has been proposed. In this method, some of the fine details of density matrix due to permutations have been smoothed over or…

Statistical Mechanics · Physics 2015-05-13 D. Y. Sun

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…

Computational Physics · Physics 2009-11-10 Denis Horvath , Martin Gmitra

Elastic systems that are spatially heterogeneous in their mechanical response pose special challenges for molecular simulations. Standard methods for sampling thermal fluctuations of a system's size and shape proceed through a series of…

Materials Science · Physics 2015-05-13 Sander Pronk , Phillip L. Geissler

We present a history-dependent Monte Carlo scheme for the efficient calculation of the free-energy of quantum systems, inspired by the Wang-Landau sampling and metadynamics method. When embedded in a path integral formulation, it is of…

Statistical Mechanics · Physics 2009-04-08 Yanier Crespo , Alessandro Laio , Giuseppe E. Santoro , Erio Tosatti

In this work, we develop a stochastic matrix product state (stoMPS) approach that combines the MPS technique and Monte Carlo samplings and can be applied to simulate quantum lattice models down to low temperature. In particular, we exploit…

Strongly Correlated Electrons · Physics 2023-12-08 Jianxin Gao , Yuan Gao , Qiaoyi Li , Wei Li

Despite their formal simplicity, most lattice spin models cannot be easily solved, even under the simplifying assumptions of mean field theory. In this manuscript, we present a method for generating mean field solutions to classical…

Statistical Mechanics · Physics 2022-06-22 Yizhi Shen , Adam P. Willard

We investigate energy transport in several two-level atom or spin-1/2 models by a direct coupling to heat baths of different temperatures. The analysis is carried out on the basis of a recently derived quantum master equation which…

Quantum Physics · Physics 2009-11-13 Mathias Michel , Ortwin Hess , Hannu Wichterich , Jochen Gemmer

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

Soft Condensed Matter · Physics 2013-05-29 O. Corradini , P. Faccioli , H. Orland

We demonstrate the use of a new algorithm called the Flat Histogram sampling algorithm for the simulation of lattice polymer systems. Thermodynamics properties, such as average energy or entropy and other physical quantities such as…

Statistical Mechanics · Physics 2009-11-07 Lik Wee Lee , Jian-Sheng Wang

A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for…

Soft Condensed Matter · Physics 2008-02-03 Kisor Mukhopadhyay , Abhijit Pal , Soumen Kumar Roy

In this paper, three efficient ensemble algorithms are proposed for fast-solving the random fluid-fluid interaction model. Such a model can be simplified as coupling two heat equations with random diffusion coefficients and a friction…

Numerical Analysis · Mathematics 2023-01-24 Yizhong Sun , Jiangshan Wang , Haibiao Zheng

Policy-guided Monte Carlo is an adaptive method to simulate classical interacting systems. It adjusts the proposal distribution of the Metropolis-Hastings algorithm to maximize the sampling efficiency, using a formalism inspired by…

Soft Condensed Matter · Physics 2024-08-23 Leonardo Galliano , Riccardo Rende , Daniele Coslovich

We present an algorithm which calculates groundstates of Ising spin glasses approximately. It works by randomly selecting clusters of spins which exhibit no frustrations. The spins which were not selected, contribute to the local fields of…

Condensed Matter · Physics 2015-06-25 A. K. Hartmann

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

We describe a further development of the stochastic state selection method, which is a kind of Monte Carlo method we have proposed in order to numerically study large quantum spin systems. In the stochastic state selection method we make a…

Statistical Mechanics · Physics 2015-05-13 Tomo Munehisa , Yasuko Munehisa

We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

Quantum Gases · Physics 2011-02-01 M. Kulkarni , A. G. Abanov

We have developed and implemented a new quantum molecular dynamics approximation that allows fast and accurate simulations of dense plasmas from cold to hot conditions. The method is based on a carefully designed orbital-free implementation…

Plasma Physics · Physics 2015-06-22 Travis Sjostrom , Jerome Daligault

We develop an excited-state real-space renormalization group (RSRG-X) formalism to describe the dynamics of conserved densities in randomly interacting spin-$\frac{1}{2}$ systems. Our formalism is suitable for systems with $\textrm{U}(1)$…

Disordered Systems and Neural Networks · Physics 2025-08-18 Yi J. Zhao , Samuel J. Garratt , Joel E. Moore
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