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The HP model of protein folding, where the chain exists in a free medium, is investigated using a parallel Monte Carlo scheme based upon Wang-Landau sampling. Expanding on the work of Wust and Landau by introducing a lesser known replica…

生物大分子 · 定量生物学 2016-07-13 Luke Kristopher Davis

We present an efficient Monte-Carlo method for long-range interacting systems to calculate free energy as a function of an order parameter. In this method, a variant of the Wang-Landau method regarding the order parameter is combined with…

统计力学 · 物理学 2015-03-18 Kazuya Watanabe , Munetaka Sasaki

Flat histogram methods, such as Wang--Landau sampling, provide a means for high-throughput calculation of phase diagrams of atomistic/lattice model systems. Many parallelisation schemes with varying degrees of complexity have been proposed…

计算物理 · 物理学 2026-03-11 Hubert J. Naguszewski , Christopher D. Woodgate , David Quigley

A generalized approach to Wang-Landau simulations, macroscopically constrained Wang-Landau, is proposed to simulate the density of states of a system with multiple macroscopic order parameters. The method breaks a multidimensional…

统计力学 · 物理学 2017-05-11 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

We investigate a generic, parallel replica-exchange framework for Monte Carlo simulations based on the Wang-Landau method. To demonstrate its advantages and general applicability for massively parallel simulations of complex systems, we…

计算物理 · 物理学 2015-06-22 Thomas Vogel , Ying Wai Li , Thomas Wüst , David P. Landau

The ability of widely used sampling methods, such as molecular dynamics or Monte Carlo, to explore complex free energy landscapes is severely hampered by the presence of kinetic bottlenecks. A large number of solutions have been proposed to…

统计力学 · 物理学 2014-08-29 Omar Valsson , Michele Parrinello

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…

统计力学 · 物理学 2008-02-01 Nikolaos G. Fytas , Anastasios Malakis

We propose an adaptive biasing algorithm aimed at enhancing the sampling of multimodal measures by Langevin dynamics. The underlying idea consists in generalizing the standard adaptive biasing force method commonly used in conjunction with…

偏微分方程分析 · 数学 2010-08-23 Chris Chipot , Tony Lelièvre

We show direct formal relationship between the Wang-Landau iteration [PRL 86, 2050 (2001)], metadynamics [PNAS 99, 12562 (2002)] and statistical temperature molecular dynamics [PRL 97, 050601 (2006)], the major Monte Carlo and molecular…

统计力学 · 物理学 2021-05-13 Christoph Junghans , Danny Perez , Thomas Vogel

We develop an approach to apply Wang-Landau algorithm to multicomponent alloys in semi-grand-canonical ensemble. Although the Wang-Landau algorithm has great advantages over conventional sampling methods, there are few applications to…

材料科学 · 物理学 2017-10-18 Kazuhito Takeuchi , Ryohei Tanaka , Koretaka Yuge

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 $m$…

统计力学 · 物理学 2016-06-22 R. E. Belardinelli , V. D. Pereyra

In this work, we propose Random Walk-steered Majority Undersampling (RWMaU), which undersamples the majority points of a class imbalanced dataset, in order to balance the classes. Rather than marking the majority points which belong to the…

机器学习 · 计算机科学 2021-09-28 Payel Sadhukhan , Arjun Pakrashi , Brian Mac Namee

A theoretical framework is proposed for an energy decomposition scheme along the reaction coordinate, in which the ensemble average of the potential energy weighted with reactive flux intensity is decomposed into energy components at the…

化学物理 · 物理学 2022-03-04 Wenjin Li

Exploring the free-energy landscape along reaction coordinates or system parameters $\lambda$ is central to many studies of high-dimensional model systems in physics, e.g. large molecules or spin glasses. In simulations this usually…

统计力学 · 物理学 2018-09-05 Viveca Lindahl , Jack Lidmar , Berk Hess

We propose a new generalized-ensemble algorithm, which we refer to as the multicanonical-multioverlap algorithm. By utilizing a non-Boltzmann weight factor, this method realizes a random walk in the multi-dimensional, energy-overlap space…

统计力学 · 物理学 2009-11-11 Satoru G. Itoh , Yuko Okamoto

Monte Carlo simulations using Wang-Landau sampling are performed to study three-dimensional chains of homopolymers on a lattice. We confirm the accuracy of the method by calculating the thermodynamic properties of this system. Our results…

统计力学 · 物理学 2016-08-16 A. G. Cunha Netto , C. J. Silva , A. A. Caparica , R. Dickman

Using molecular simulation, we determine Ginzburg-Landau free energy functions for molecular fluids. To this aim, we extend the Expanded Wang-Landau method to calculate the partition functions, number distributions and Landau free energies…

统计力学 · 物理学 2021-08-19 Caroline Desgranges , Jerome Delhommelle

The Replica Exchange Wang-Landau Method is used to estimate the energy landscape of a polymer composed of a simple hydrophobic and polar sequence using the HP protein model. Calculations of state transitions between the energy levels of the…

软凝聚态物质 · 物理学 2023-03-22 Jared McDonald , Michael R. von Spakovsky , William T. Reynolds

We show that Wang-Landau sampling, combined with suitable Monte Carlo trial moves, provides a powerful method for both the ground state search and the determination of the density of states for the hydrophobic-polar (HP) protein model and…

软凝聚态物质 · 物理学 2015-03-17 Thomas Wüst , David P. Landau

Monte Carlo simulation using the Wang-Landau algorithm has been performed in an one-dimensional Lebwohl-Lasher model. Both one-dimensional and two-dimensional random walks have been carried out. The results are compared with the exact…

统计力学 · 物理学 2009-11-13 Kisor Mukhopadhyay , Nababrata Ghoshal , Soumen Kumar Roy