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In this work, we investigate a model order reduction scheme for polynomial parametric systems. We begin with defining the generalized multivariate transfer functions for the system. Based on this, we aim at constructing a reduced-order…

数值分析 · 数学 2019-04-29 Peter Benner , Pawan Goyal

For one-dimensional systems with delta-contact interactions, the convergence of the exact-diagonalization method is tested with a basis of harmonic oscillator eigenfunctions with frequency $\Omega$ optimized through the minimization of the…

量子气体 · 物理学 2020-01-09 Przemysław Kościk

Quadratic trapping potentials are widely used to experimentally probe biopolymers and molecular machines and drive transitions in steered molecular-dynamics simulations. Approximating energy landscapes as locally quadratic, we design…

统计力学 · 物理学 2022-08-11 Steven Blaber , David A. Sivak

The ensemble average of physical properties of molecules is closely related to the distribution of molecular conformations, and sampling such distributions is a fundamental challenge in physics and chemistry. Traditional methods like…

机器学习 · 计算机科学 2025-08-06 Liya Guo , Zun Wang , Chang Liu , Junzhe Li , Pipi Hu , Yi Zhu

The associative interaction, such as hydrogen bonding, can bring about versatile functionalities to polymer systems, which has been investigated by tremendous researches, but the fundamental understanding on association process is still…

软凝聚态物质 · 物理学 2025-01-20 Xiangyu Zhang , Dong Meng

Coarse-grained models that preserve hydrodynamics provide a natural approach to study collective properties of soft-matter systems. Here, we demonstrate that commonly used integration schemes in dissipative particle dynamics give rise to…

软凝聚态物质 · 物理学 2009-10-31 Gerhard Besold , Ilpo Vattulainen , Mikko Karttunen , James M. Polson

The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

软凝聚态物质 · 物理学 2009-08-12 Hauke Hinsch , Erwin Frey

All-atom dynamics simulations are an indispensable quantitative tool in physics, chemistry, and materials science, but large systems and long simulation times remain challenging due to the trade-off between computational efficiency and…

材料科学 · 物理学 2024-03-21 Stephen R. Xie , Matthias Rupp , Richard G. Hennig

Many Imitation and Reinforcement Learning approaches rely on the availability of expert-generated demonstrations for learning policies or value functions from data. Obtaining a reliable distribution of trajectories from motion planners is…

机器人学 · 计算机科学 2021-07-13 Alexander Lambert , Byron Boots

Simulation of materials at the atomistic level is an important tool in studying microscopic structure and processes. The atomic interactions necessary for the simulation are correctly described by Quantum Mechanics. However, the…

材料科学 · 物理学 2015-03-13 Albert P. Bartók

Density functional theory offers a very accurate way of computing materials properties from first principles. However, it is too expensive for modelling large-scale molecular systems whose properties are, in contrast, computed using…

计算物理 · 物理学 2016-12-12 Alexander V. Shapeev

Molecular dynamics simulations of biomolecules have been widely adopted in biomedical studies. As classical point-charge models continue to be used in routine biomolecular applications, there have been growing demands on developing…

计算物理 · 物理学 2020-10-28 Haixin Wei , Ruxi Qi , Junmei Wang , Piotr Cieplak , Yong Duan , Ray Luo

Considering molecular dynamic simulations as a stochastic method, we investigate the possibility of time coarse graining the simulations. Similarly to Boltzmann inversion method in spatial coarse graining, which begins with a free energy…

软凝聚态物质 · 物理学 2025-09-23 Maxime Martin , Levi Pereon , Quoc Tuan Truong , Victor Teboul

We propose a general method for optimization with semi-infinite constraints that involve a linear combination of functions, focusing on the case of the exponential function. Each function is lower and upper bounded on sub-intervals by…

最优化与控制 · 数学 2014-01-13 Bogdan Dumitrescu , Bogdan C. Sicleru , Florin Avram

The miscibility in several polymer blend mixtures (polymethylmethacrylate/polystyrene, (1,4-cis) polyisoprene/polystyrene, and polymethylmethacrylate/polyoxyethylene) has been investigated using Molecular Dynamics simulations for atomistic…

化学物理 · 物理学 2009-05-29 Amirhossein Ahmadi , Juan J. Freire

We present a new algorithm to optimize distributions defined implicitly by parameterized stochastic diffusions. Doing so allows us to modify the outcome distribution of sampling processes by optimizing over their parameters. We introduce a…

We present an implementation of the fast multipole method for computing coulombic electrostatic and polarization forces from polarizable force-fields based on induced point dipole moments. We demonstrate the expected $O(N)$ scaling of that…

化学物理 · 物理学 2015-06-22 Jonathan P. Coles , Michel Masella

Machine learning interatomic potentials (MLIPs) enable efficient molecular dynamics (MD) simulations with ab initio accuracy and have been applied across various domains in physical science. However, their performance often relies on…

计算物理 · 物理学 2025-07-29 Taoyong Cui , Zhongyao Wang , Dongzhan Zhou , Yuqiang Li , Lei Bai , Wanli Ouyang , Mao Su , Shufei Zhang

We propose a new generalized-ensemble algorithm, which we refer to as the multibaric-multithermal Monte Carlo method. The multibaric-multithermal Monte Carlo simulations perform random walks widely both in volume space and in potential…

统计力学 · 物理学 2009-11-10 H. Okumura , Y. Okamoto

Although polymerization and curing reactions govern the performance of advanced materials, their simulation remains challenging owing to the need for accurate, transferable potentials and rarity of chemical events. Conventional reactive…

材料科学 · 物理学 2025-12-01 Hodaka Mori , Shunsuke Tonogai , Yu Miyazaki , Akihide Hayashi , Masayoshi Takayanagi
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