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We report on a lattice based algorithm, completely vectorized for molecular dynamics simulations. Its algorithmic complexity is of the order O(N), where $N$ is the number of particles. The algorithm works very effectively when the particles…

Condensed Matter · Physics 2009-10-22 V. Buchholtz , T. Poeschel

We consider Monte Carlo algorithms for the simulation of charged lattice gases with purely local dynamics. We study the mobility of particles as a function of temperature and show that the poor mobility of particles at low temperatures is…

Statistical Mechanics · Physics 2007-05-23 L. Levrel , A. C. Maggs

The linked cell list algorithm is an essential part of molecular simulation software, both molecular dynamics and Monte Carlo. Though it scales linearly with the number of particles, there has been a constant interest in increasing its…

Computational Physics · Physics 2013-03-19 Ulrich Welling , Guido Germano

We propose a fast method for the calculation of short-range interactions in molecular dynamics simulations. The so-called random-batch list method is a stochastic version of the classical neighbor-list method to avoid the construction of a…

Computational Physics · Physics 2021-08-25 Jiuyang Liang , Zhenli Xu , Yue Zhao

We introduce a Monte-Carlo algorithm for the simulation of charged particles moving in the continuum. Electrostatic interactions are not instantaneous as in conventional approaches, but are mediated by a constrained, diffusing electric…

Soft Condensed Matter · Physics 2009-11-10 Joerg Rottler , A. C. Maggs

Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools. Both 1D and 2D systems are considered. In 1D lattices with long-range hopping,…

Quantum Gases · Physics 2018-09-27 Tirthaprasad Chattaraj

We introduce a lattice gas implementation that is based on coarse-graining a Molecular Dynamics (MD) simulation. Such a lattice gas is similar to standard lattice gases, but its collision operator is informed by an underlying MD simulation.…

Computational Physics · Physics 2017-09-13 M. Reza Parsa , Alexander J. Wagner

We propose a new model suitable for a nonequilibrium molecular dynamics (MD) simulation of electrical conductors. The model consists of classical electrons and atoms. The atoms compose a lattice vibration system. The electrons are scattered…

Statistical Mechanics · Physics 2015-05-30 Fan Lee , Tatsuro Yuge , Akira Shimizu

In the first part of a series of two papers, we present in considerable detail a collision-driven molecular dynamics algorithm for a system of nonspherical particles, within a parallelepiped simulation domain, under both periodic or…

Computational Physics · Physics 2007-05-23 Aleksandar Donev , Salvatore Torquato , Frank H. Stillinger

Long ranged electrostatic interactions are time consuming to calculate in molecular dynamics and Monte-Carlo simulations. We introduce an algorithmic framework for simulating charged particles which modifies the dynamics so as to allow…

Statistical Mechanics · Physics 2009-09-07 A. C. Maggs , V. Rossetto

We propose an easy to use model to solve for interacting atoms in an optical lattice. This model allows for the whole range of weakly to strongly interacting atoms, and it includes the coupling between relative and center-of-mass motion via…

Other Condensed Matter · Physics 2008-07-01 Johan Mentink , Servaas Kokkelmans

Intracellular transport processes driven by molecular motors can be described by stochastic lattice models of self-driven particles. Here we focus on bidirectional transport models excluding the exchange of particles on the same track. We…

Biological Physics · Physics 2015-05-27 M. Ebbinghaus , C. Appert-Rolland , L. Santen

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

Computational Engineering, Finance, and Science · Computer Science 2017-11-02 Christoph Rettinger , Ulrich Rüde

We propose a hierarchy of multi-level kinetic Monte Carlo methods for sampling high-dimensional, stochastic lattice particle dynamics with complex interactions. The method is based on the efficient coupling of different spatial resolution…

Numerical Analysis · Mathematics 2012-08-06 Evangelia Kalligiannaki , Markos A. Katsoulakis , Petr Plechac

Learning system dynamics directly from observations is a promising direction in machine learning due to its potential to significantly enhance our ability to understand physical systems. However, the dynamics of many real-world systems are…

Machine Learning · Computer Science 2021-03-23 Karolis Martinkus , Aurelien Lucchi , Nathanaël Perraudin

Here, we propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects, as they appear in certain molecular dynamical problems. The idea consists of a judicious choice of two…

Quantum Gases · Physics 2025-09-25 Javier Argüello-Luengo , Alejandro González-Tudela , J. Ignacio Cirac

Quantum heuristics have shown promise in solving various optimization problems, including lattice protein folding. Equally relevant is the inverse problem, protein design, where one seeks sequences that fold to a given target structure. The…

Molecular Dynamics simulations can help scientists to gather valuable insights for physical processes on an atomic scale. This work explores various techniques for SIMD vectorization to improve the pairwise force calculation between…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-04 Luis Gall , Samuel James Newcome , Fabio Alexander Gratl , Markus Mühlhäußer , Manish Kumar Mishra , Hans-Joachim Bungartz

In simulations of crystals, unlike liquids or gases, it may happen that the properties of the studied system depend not only on the volume of the simulation cell but also on its shape. For such cases it is desirable to change the shape of…

Computational Physics · Physics 2022-10-04 A. Baumketner

When particles suspended in a fluid are driven through a regular lattice of cylindrical obstacles, the particle motion is usually not simply in the direction of the force, and in the high Peclet number limit particle trajectories tend to…

Soft Condensed Matter · Physics 2016-05-04 J. Koplik , G. Drazer
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