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Using the molecular dynamics method, we examine a discrete deterministic model for the motion of spherical particles in three-dimensional space. The model takes into account multiparticle collisions in arbitrary forms. Using fractional…

Computational Physics · Physics 2007-05-23 Jacek S. Leszczynski

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

Soft Condensed Matter · Physics 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

Statistical Mechanics · Physics 2012-04-16 Stephen Whitelam

When two active Brownian particles collide, they slide along each other until they can continue their free motion. For persistence lengths much larger than the particle diameter, the directors do not change, but the collision can be modeled…

Soft Condensed Matter · Physics 2024-04-19 Rodrigo Soto , Martin Pinto , Ricardo Brito

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jysoo Lee , Joel Koplik

Self-powered motion in catalytic colloidal particles provides a compelling example of active matter, i.e. systems that engage in single-particle and collective behavior far from equilibrium. The long-time, long-distance behavior of such…

Soft Condensed Matter · Physics 2017-10-25 Young-Moo Byun , Paul E. Lammert , Yiying Hong , Ayusman Sen , Vincent H. Crespi

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of…

Statistical Mechanics · Physics 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

A new type of kinetic models with non-instantaneous binary collisions is considered. Collisions are described by a transport process in the joint state space of a pair of particles. The interactions are of alignment type, where the states…

Analysis of PDEs · Mathematics 2023-05-22 Laura Kanzler , Christian Schmeiser , Veronica Tora

Studies in the collective motility of organisms use a range of analytical approaches to formulate continuous kinetic models of collective dynamics from rules or equations describing agent interactions. However, the derivation of these…

Aggregation processes in systems of planar macromolecules and colloids drive a broad range of phenomena in natural systems and soft materials. Depending on chemical architecture, intermolecular interactions in these systems may favor…

Soft Condensed Matter · Physics 2025-11-20 B. Martínez-Haya , N. Morillo , A. Cuetos

A multicomponent mixture of Janus colloids with distinct catalytic coats and phoretic mobilities is a promising theoretical system to explore the collective behavior arising from nonreciprocal interactions. An active colloid produces (or…

Soft Condensed Matter · Physics 2024-02-15 Gennaro Tucci , Ramin Golestanian , Suropriya Saha

Microscopic particles suspended in liquids are the prime example of an overdamped system because viscous forces dominate over inertial effects. Apart from their use as model systems, they receive considerable attention as sensitive probes…

Soft Condensed Matter · Physics 2020-02-10 Johannes Berner , Boris Müller , Juan Ruben Gomez-Solano , Matthias Krüger , Clemens Bechinger

Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shear-induced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange…

Soft Condensed Matter · Physics 2017-01-04 Sascha Gerloff , Sabine H. L. Klapp

We propose a simple mathematical model that describes a pairing-induced motion of active and passive particles in a two-dimensional system, which is motivated by our previous paper [Ishikawa et al., Phys. Rev. E \textbf{106} (2022) 024604].…

Adaptation and Self-Organizing Systems · Physics 2026-03-11 Hiroaki Ishikawa , Yuki Koyano , Hiroaki Ito , Yutaka Sumino , Hiroyuki Kitahata

The growing interest in the dynamical properties of colloidal suspensions, both in equilibrium and under an external drive such as shear or pressure flow, requires the development of accurate methods to correctly include hydrodynamic…

Soft Condensed Matter · Physics 2019-11-11 José Ruiz-Franco , Diego Jaramillo-Cano , Manuel Camargo , Christos N. Likos , Emanuela Zaccarelli

Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons contribute coherently to nuclear excitations (vibrations, rotations) that are characterized by…

Nuclear Theory · Physics 2022-03-18 Z. P. Li , D. Vretenar

Systems containing active components are intrinsically out of equilibrium, while binary mixtures reach their equilibrium configuration when complete phase separation is achieved. Active particles are found to stabilise non-equilibrium…

Soft Condensed Matter · Physics 2025-03-11 Javier Diaz , Ignacio Pagonabarraga

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

Soft Condensed Matter · Physics 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier
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