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We present a quantum mechanical / molecular mechanics (QM/MM) to tackle chemical reactions with substantial molecular reorganization. For this, molecular dynamics simulations with smoothly switched interaction models are used to suggest…

软凝聚态物质 · 物理学 2020-11-06 Robert H. Meißner , Julian Konrad , Benjamin Boll , Bodo Fiedler , Dirk Zahn

In this article, we study the application of Multi-Level Monte Carlo (MLMC) approaches to numerical random homogenization. Our objective is to compute the expectation of some functionals of the homogenized coefficients, or of the…

数值分析 · 数学 2013-01-15 Yalchin Efendiev , Cornelia Kronsbein , Frederic Legoll

Machine learning and deep learning have revolutionized computational physics, particularly the simulation of complex systems. Equivariance is essential for simulating physical systems because it imposes a strong inductive bias on the…

强关联电子 · 物理学 2024-11-13 Yuki Nagai , Akio Tomiya

A general Monte Carlo simulation method of calculating the elastic constants of polydisperse hard-sphere colloidal crystal was developed. The elastic constants of a size polydisperse hard sphere fcc crystal is calculated. The pressure and…

软凝聚态物质 · 物理学 2009-11-13 Mingcheng Yang , Hongru Ma

Classical Molecular Dynamics (MD) simulations are employed as a tool to investigate structural properties of ice crystals under several temperature and pressure conditions. All ice crystal phases are analyzed by means of a computational…

材料科学 · 物理学 2015-05-28 M. Cogoni , B. D'Aguanno , L. N. Kuleshova , D. W. M. Hofmann

We provide a pedagogical introduction to the two main variants of real-space quantum Monte Carlo methods for electronic-structure calculations: variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC). Assuming no prior knowledge on…

化学物理 · 物理学 2015-08-13 Julien Toulouse , Roland Assaraf , C. J. Umrigar

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

量子气体 · 物理学 2010-12-16 N. Blümer , E. V. Gorelik

Kinetic Monte Carlo (KMC) is an important computational tool in physics and chemistry. In contrast to standard Monte Carlo, KMC permits the description of time dependent dynamical processes and is not restricted to systems in equilibrium.…

计算物理 · 物理学 2020-04-22 William Robert Saunders , James Grant , Eike Hermann Müller , Ian Thompson

Monte Carlo sampling of any system may be analyzed in terms of an associated glass model -- a variant of the Random Energy Model -- with, whenever there is a sign problem, complex fields. This model has three types of phases (liquid, frozen…

统计力学 · 物理学 2011-01-17 Gustavo During , Jorge Kurchan

Building on the success of Quantum Monte Carlo techniques such as diffusion Monte Carlo, alternative stochastic approaches to solve electronic structure problems have emerged over the last decade. The full configuration interaction quantum…

The nature of freezing and melting transitions for a system of hard disks in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling analysis of various thermodynamic…

统计力学 · 物理学 2009-10-31 W. Strepp , S. Sengupta , P. Nielaba

We show how to apply the absorbing Markov chain Monte Carlo algorithm of Novotny to simulate kinetically constrained models of glasses. We consider in detail one-spin facilitated models, such as the East model and its generalizations to…

统计力学 · 物理学 2009-11-11 Douglas J. Ashton , Lester O. Hedges , Juan P. Garrahan

We use a Monte Carlo method to assemble finite element matrices for polynomial Chaos approximations of elliptic equations with random coefficients. In this approach, all required expectations are approximated by a Monte Carlo method. The…

数值分析 · 数学 2017-09-12 Juan Galvis , O. Andres Cuervo

The EM algorithm is a powerful tool for maximum likelihood estimation with missing data. In practice, the calculations required for the EM algorithm are often intractable. We review numerous methods to circumvent this intractability, all of…

统计计算 · 统计学 2024-01-03 William Ruth

Monte Carlo methods are used to study the phase transition in ammonium chloride from the orientationally ordered $\delta$ phase to the orientationally disordered $\gamma$ phase. An effective pair potential is used to model the interaction…

chem-ph · 物理学 2008-02-03 Robert Q. Topper , David L. Freeman

We explore the link between the melting scenarios of two-dimensional systems of hard disks and squares through replica-exchange Monte Carlo simulations of hard superdisks. The well-known melting scenarios are observed in the disk and square…

软凝聚态物质 · 物理学 2020-12-04 Péter Gurin , Szabolcs Varga , Gerardo Odriozola

Direct sampling of multi-dimensional systems with quantum Monte Carlo methods allows exact account of many-body effects or particle correlations. The most straightforward approach to solve the Schr\"odinger equation, Diffusion Monte Carlo,…

量子物理 · 物理学 2017-09-07 Ilkka Ruokosenmäki , Tapio T. Rantala

Mean field-like approximations (including naive mean field, Bethe and Kikuchi and more general Cluster Variational Methods) are known to stabilize ordered phases at temperatures higher than the thermodynamical transition. For example, in…

无序系统与神经网络 · 物理学 2015-06-22 A. Lage-Castellanos , R. Mulet , F. Ricci-Tersenghi

Monte Carlo / Dynamic Code (MC/DC) is a portable Monte Carlo neutron transport package for rapid numerical methods exploration in heterogeneous and HPC contexts, developed under the auspices of the Center for Exascale Monte Carlo Neutron…

计算物理 · 物理学 2025-06-03 Braxton Cuneo , Joanna Piper Morgan , Ilham Variansyah , Kyle E. Niemeyer

Monodisperse ensembles of particles that have cluster crystalline phases at low temperatures can model a number of physical systems, such as vortices in type-1.5 superconductors, colloidal suspensions and cold atoms. In this work we study a…

软凝聚态物质 · 物理学 2019-04-29 Wenlong Wang , Rogelio Díaz-Méndez , Mats Wallin , Jack Lidmar , Egor Babaev
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