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An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

统计力学 · 物理学 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

A Monte Carlo Renormalization Group algorithm is used on the Ising model to derive critical exponents and the critical temperature. The algorithm is based on a minimum relative entropy iteration developed previously to derive potentials…

计算物理 · 物理学 2007-05-23 John P. Donohue

Quantum Monte Carlo (QMC) methods can very accurately compute ground state properties of quantum systems. We applied these methods to a system of boson hard spheres to get exact, infinite system size results for the ground state at several…

计算物理 · 物理学 2016-09-08 Mark Dewing

This paper concerns the approximation of smooth, high-dimensional functions from limited samples using polynomials. This task lies at the heart of many applications in computational science and engineering - notably, some of those arising…

数值分析 · 数学 2023-11-07 Ben Adcock , Simone Brugiapaglia

We present a quantum Monte Carlo method capable of sampling the full density matrix of a many-particle system at finite temperature. This allows arbitrary reduced density matrix elements and expectation values of complicated non-local…

计算物理 · 物理学 2015-06-15 N. S. Blunt , T. W. Rogers , J. S. Spencer , W. M. C. Foulkes

We present novel Monte Carlo methods for treating the interacting shell model that allow exact calculations much larger than those heretofore possible. The two-body interaction is linearized by an auxiliary field; Monte Carlo evaluation of…

核理论 · 物理学 2008-11-26 C. W. Johnson , S. E. Koonin , G. H. Lang , W. E. Ormand

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 perform \emph{ab initio} quantum Monte Carlo (QMC) simulations of the warm dense uniform electron gas in the thermodynamic limit. By combining QMC data with linear response theory we are able to remove finite-size errors from the…

等离子体物理 · 物理学 2016-11-09 Tobias Dornheim , Simon Groth , Travis Sjostrom , Fionn D. Malone , W. M. C. Foulkes , Michael Bonitz

We have reformulated the quantum Monte Carlo (QMC) technique so that a large part of the calculation scales linearly with the number of atoms. The reformulation is related to a recent alternative proposal for achieving linear-scaling QMC,…

其他凝聚态物理 · 物理学 2016-08-31 D. Alfe` , M. J. Gillan

The feasibility of shell-model calculations is radically extended by the Quantum Monte Carlo Diagonalization method with various essential improvements. The major improvements are made in the sampling for the generation of shell-model basis…

核理论 · 物理学 2008-11-26 Michio Honma , Takahiro Mizusaki , Takaharu Otsuka

We developed a technique to determine suitable spin models for small embedded clusters of arbitrary geometry by combining the spin-cluster expansion with the relativistic disordered local moment scheme. We present results for uncovered and…

介观与纳米尺度物理 · 物理学 2019-04-09 András Lászlóffy , László Udvardi , László Szunyogh

We present a new Monte Carlo method for obtaining solutions of the Boltzmann equation for describing phonon transport in micro and nanoscale devices. The proposed method can resolve arbitrarily small signals (e.g. temperature differences)…

计算物理 · 物理学 2015-05-30 Jean-Philippe Peraud , Nicolas Hadjiconstantinou

We report results of extensive Dynamical Monte Carlo investigations on self-assembled Equilibrium Polymers (EP) without loops in good solvent. (This is thought to provide a good model of giant surfactant micelles.) Using a novel algorithm…

软凝聚态物质 · 物理学 2009-10-31 J. P. Wittmer , A. Milchev , M. E. Cates

The crystallisation of entangled polymers from their melt is investigated using computer simulation with a coarse-grained model. Using hybrid Monte Carlo simulations enables us to probe the behaviour of long polymer chains. We identify…

软凝聚态物质 · 物理学 2020-06-12 Xiaoliang Tang , Fucheng Tian , Tingyu Xu , Liangbin Li , Aleks Reinhardt

In the last few years we have been developing a Monte Carlo simulation method to cope with systems of many electrons and ions in the Born-Oppenheimer (BO) approximation, the Coupled Electron-Ion Monte Carlo Method (CEIMC). Electronic…

计算物理 · 物理学 2007-05-23 Carlo Pierleoni , David M. Ceperley

We develop Monte Carlo simulations for uniformly charged polymers and machine learning algorithm to interpret the intra-polymer structure factor of the charged polymer system, which can be obtained from small-angle scattering experiments.…

软凝聚态物质 · 物理学 2025-11-21 Lijie Ding , Chi-Huan Tung , Jan-Michael Y. Carrillo , Wei-Ren Chen , Changwoo Do

We present simple and practical strategies to reduce the variance of Monte Carlo estimators. Our focus is on variational Monte Carlo calculations of atomic forces and pressure in electronic systems, although we show that the underlying…

强关联电子 · 物理学 2026-03-17 David Linteau , Saverio Moroni , Giuseppe Carleo , Markus Holzmann

High order perturbation theory has seen an unexpected recent revival for controlled calculations of quantum many-body systems, even at strong coupling. We adapt integration methods using low-discrepancy sequences to this problem. They…

We propose a numerical procedure to study closure approximations for FENE dumbbells in terms of chosen macroscopic state variables, enabling to test straightforwardly which macroscopic state variables should be included to build good…

数学物理 · 物理学 2010-06-01 Giovanni Samaey , Tony Lelievre , Vincent Legat

The uniform electron gas (UEG) at finite temperature is of high current interest due to its key relevance for many applications including dense plasmas and laser excited solids. In particular, density functional theory heavily relies on…

强关联电子 · 物理学 2016-01-15 Tobias Dornheim , Tim Schoof , Simon Groth , Alexey Filinov , Michael Bonitz