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This paper discusses some convergence properties in the entropic sampling Monte Carlo methods with multiple random walkers, particularly in the Wang-Landau (WL) and $1/t$ algorithms. The classical algorithms are modified by the use of $m$…

Statistical Mechanics · Physics 2016-06-22 R. E. Belardinelli , V. D. Pereyra

The three-dimensional bimodal random-field Ising model is studied via a new finite temperature numerical approach. The methods of Wang-Landau sampling and broad histogram are implemented in a unified algorithm by using the N-fold version of…

Statistical Mechanics · Physics 2008-02-01 Nikolaos G. Fytas , Anastasios Malakis

We introduce a parallel Wang-Landau method based on the replica-exchange framework for Monte Carlo simulations. To demonstrate its advantages and general applicability for simulations of complex systems, we apply it to different spin models…

Computational Physics · Physics 2013-05-27 Thomas Vogel , Ying Wai Li , Thomas Wüst , David P. Landau

The development of new algorithms for simulations in physics is as important as the development of new analytical methods. In this paper, we present a comparison of the recently developed microcanonical population annealing (MCPA) algorithm…

Statistical Mechanics · Physics 2024-10-21 Vyacheslav Mozolenko , Marina Fadeeva , Lev Shchur

We present an algorithm that exploits quantum parallelism to simulate randomness in a quantum system. In our scheme, all possible realizations of the random parameters are encoded quantum mechanically in a superposition state of an…

Other Condensed Matter · Physics 2009-11-11 B. Paredes , F. Verstraete , J. I. Cirac

Shared-memory parallelization (SMP) strategies for density matrix renormalization group (DMRG) algorithms enable the treatment of complex systems in solid state physics. We present two different approaches by which parallelization of the…

Strongly Correlated Electrons · Physics 2009-11-10 G. Hager , E. Jeckelmann , H. Fehske , G. Wellein

An efficient computational scheme devised for investigations of ground state properties of the electronically correlated systems is presented. As an example, $(H_{2})_{n}$ chain is considered with the long-range electron-electron…

Strongly Correlated Electrons · Physics 2015-12-24 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

In this paper, we study a parallel version of Galton-Watson processes for the random generation of tree-shaped structures. Random trees are useful in many situations (testing, binary search, simulation of physics phenomena,...) as attests…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-22 Olivier Bodini , Camille Coti , Julien David

We give an overview of the worldline numerics technique, and discuss the parallel CUDA implementation of a worldline numerics algorithm. In the worldline numerics technique, we wish to generate an ensemble of representative closed-loop…

High Energy Physics - Theory · Physics 2014-07-29 Dan Mazur , Jeremy S. Heyl

This paper proposes an efficient parallelised computation of field/circuit coupled systems co-simulated with the Waveform Relaxation (WR) technique. The main idea of the introduced approach lies in application of the parallel-in-time method…

Computational Physics · Physics 2020-03-17 Idoia Cortes Garcia , Iryna Kulchytska-Ruchka , Sebastian Schöps

We present a technique designed for parallelizing large rigid body simulations, capable of exploiting multiple CPU cores within a computer and across a network. Our approach can be applied to simulate both unilateral and bilateral…

Graphics · Computer Science 2024-03-27 Manas Kale , Paul G. Kry

Wang and Landau proposed recently, a simple and flexible non-Boltzmann Monte Carlo method for estimating the density of states, from which the macroscopic properties of a closed system can be calculated. They demonstrated their algorithm by…

Statistical Mechanics · Physics 2009-11-11 D. Jayasri , V. S. S. Sastry , K. P. N. Murthy

We introduce a model of a quantum walk on a graph in which a particle jumps between neighboring nodes and interacts with independent spins sitting on the edges. Entanglement propagates with the walker. We apply this model to the case of a…

Quantum Physics · Physics 2021-03-30 Kevissen Sellapillay , Alberto D. Verga

In this work, we present a comparative study of the accuracy provided by the Wang-Landau sampling and the Broad Histogram method to estimate de density of states of the two dimensional Ising ferromagnet. The microcanonical averages used to…

Statistical Mechanics · Physics 2016-05-26 Alexandre Pereira Lima , Paulo Murilo Castro de Oliveira , Daniel Girardi

Random networks are widely used for modeling and analyzing complex processes. Many mathematical models have been proposed to capture diverse real-world networks. One of the most important aspects of these models is degree distribution.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-27 Maksudul Alam , Maleq Khan

It is widely accepted that the dynamic of entanglement in presence of a generic circuit can be predicted by the knowledge of the statistical properties of the entanglement spectrum. We tested this assumption by applying a Metropolis-like…

Quantum Physics · Physics 2023-09-20 J. Odavić , G. Torre , N. Mijić , D. Davidović , F. Franchini , S. M. Giampaolo

Recent advances in random-walk particle-tracking have enabled direct simulation of mixing and reactions on particles by allowing the particles to interact with each other using a multi-point mass transfer scheme. The mass transfer scheme…

Computational Physics · Physics 2019-04-22 Nicholas B. Engdahl , Michael J. Schmidt , David A. Benson

We present a Monte Carlo method that efficiently computes the density of states for spin models having any number of interaction per spin. By combining a random-walk in the energy space with collective updates controlled by the…

Statistical Mechanics · Physics 2009-11-11 Sylvain Reynal , Hung-The Diep

In this work we investigate the behavior of the microcanonical and canonical averages of the two-dimensional Ising model during the Wang-Landau simulation. The simulations were carried out using conventional Wang-Landau sampling and the…

Statistical Mechanics · Physics 2015-11-09 Alvaro de Almeida Caparica , Antonio Gonçalves da Cunha Netto

The simulation of large ensembles of particles is usually parallelized by partitioning the domain spatially and using message passing to communicate between the processes handling neighboring subdomains. The particles are represented as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-03 Sebastian Eibl , Ulrich Rüde