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The article proposes an algorithm to model the collision between arbitrary ellipsoids in viscous fluid. It is composed of several steps, each improving upon the standard procedure employed in the current literature. First, an efficient…

Fluid Dynamics · Physics 2022-03-11 Ramandeep Jain , Silvio Tschisgale , Jochen Fröhlich

Several physical systems in condensed matter have been modeled approximating their constituent particles as hard objects. The hard spheres model has been indeed one of the cornerstones of the computational and theoretical description in…

Computational Physics · Physics 2015-05-13 Cristiano De Michele

Discrete particle simulations have become the standard in science and industrial applications exploring the properties of particulate systems. Most of such simulations rely on the concept of interacting spherical particles to describe the…

Numerical Analysis · Mathematics 2023-11-01 Igor Ostanin , Vasileios Angelidakis , Timo Plath , Sahar Pourandi , Anthony Thornton , Thomas Weinhart

We present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

Event-driven molecular dynamics is a valuable tool in condensed and soft matter physics when particles can be modeled as hard objects or more generally if their interaction potential can be modeled in a stepwise fashion. Hard spheres model…

Computational Physics · Physics 2015-05-19 Cristiano De Michele

Explicit simulations of fluid mixtures of highly size-dispersed particles are constrained by numerical challenges associated with identifying pair-interaction neighbors. Recent algorithmic developments have ameliorated these difficulties to…

Soft Condensed Matter · Physics 2022-12-07 Joseph M. Monti , Gary S. Grest

Coulomb interaction, following an inverse-square force-law, quantifies the amount of force between two stationary and electrically charged particles. The long-range nature of Coulomb interactions poses a major challenge to molecular…

Computational Physics · Physics 2022-01-26 Jiuyang Liang , Pan Tan , Yue Zhao , Lei Li , Shi Jin , Liang Hong , Zhenli Xu

Brownian dynamics of colloidal particles on complex surfaces has found important applications in diverse physical, chemical and biological processes. However, current Brownian dynamics simulation algorithms mostly work for relatively simple…

Soft Condensed Matter · Physics 2019-11-26 Yuguang Yang , Bo Li

Although event-driven algorithms have been shown to be far more efficient than time-driven methods such as conventional molecular dynamics, they have not become as popular. The main obstacle seems to be the difficulty of parallelizing…

Computational Physics · Physics 2015-06-26 S. Miller , S. Luding

In this paper, we propose a new algorithm based on radial symmetry center method to track colloidal particles close to contact, where the optical images of the particles start to overlap in digital video microscopy. This overlapping effect…

Instrumentation and Detectors · Physics 2017-10-26 Harun Yücel , Nazmi Turan Okumuşoğlu

Various packing problems and simulations of hard and soft interacting particles, such as microscopic models of nematic liquid crystals, reduce to calculations of intersections and pair interactions between ellipsoids. When constrained to a…

Soft Condensed Matter · Physics 2022-10-12 Andraž Gnidovec , Anže Božič , Urška Jelerčič , Simon Čopar

This paper describes continuous-space methodologies to estimate the collision probability, Euclidean distance and gradient between an ellipsoidal robot model and an environment surface modeled as a set of Gaussian distributions.…

Robotics · Computer Science 2025-07-31 Kshitij Goel , Wennie Tabib

Simulating interactions between non-spherical colloidal particles is computationally challenging due to the complex dependency of forces and energies on their geometry. We introduce and evaluate both descriptor-based and end-to-end models…

Soft Condensed Matter · Physics 2025-09-22 B. Rusen Argun , Antonia Statt

In recent years, machine learning interatomic potentials (MLIPs) have attracted significant attention as a method that enables large-scale, long-time atomistic simulations while maintaining accuracy comparable to electronic structure…

Materials Science · Physics 2025-03-27 Yuta Yoshimoto , Naoki Matsumura , Yuto Iwasaki , Hiroshi Nakao , Yasufumi Sakai

Computational chemistry allows researchers to experiment in sillico: by running a computer simulations of a biological or chemical processes of interest. Molecular dynamics with molecular mechanics model of interactions simulates N-body…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-03 Jana Pazúriková

Quantum computing is gaining attention as a new approach for solving complex problems in many scientific fields. In atmospheric and oceanic sciences, it may help reduce computational costs of simulating large and nonlinear systems. However,…

Quantum Physics · Physics 2026-03-09 Kazumasa Ueno , Hiroaki Miura

Collision-free motion planning in complex outdoor environments relies heavily on perceiving the surroundings through exteroceptive sensors. A widely used approach represents the environment as a voxelized Euclidean distance field, where…

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

In this paper the normal collision of spherical particles is investigated. The particle interaction is modelled in a macroscopic way using the Hertzian contact force with additional linear damping. The goal of the work is to develop an…

Fluid Dynamics · Physics 2016-03-02 Shouryya Ray , Tobias Kempe , Jochen Fröhlich

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…

comp-gas · Physics 2019-06-05 V. Buchholtz , T. Pöschel
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