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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

Active matter spans a wide range of time and length scales, from groups of cells and synthetic self-propelled particles to schools of fish, flocks of birds, or even human crowds. The theoretical framework describing these systems has shown…

The electric microfield distribution at charged particles is studied for two-component electron-ion plasmas using molecular dynamics simulation and theoretical models. The particles are treated within classical statistical mechanics using…

Plasma Physics · Physics 2009-11-11 H. B. Nersisyan , C. Toepffer , G. Zwicknagel

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We study the convergence of the empirical distribution associated with a system of interacting kinetic particles subject to independent Brownian forcing in a finite horizon setting, using some recent progress on kinetic non-linear partial…

Probability · Mathematics 2025-11-13 Carlo Bellingeri , Fabio Coppini

The diffusion of chiral active Brownian particles in three-dimensional space is studied analytically, by consideration of the corresponding Fokker-Planck equation for the probability density of finding a particle at position…

Statistical Mechanics · Physics 2016-12-21 Francisco J. Sevilla

The classical Coulomb gas model has served as one of the most versatile frameworks in statistical physics, connecting a vast range of phenomena across many different areas. Nonequilibrium generalisations of this model have so far been…

Statistical Mechanics · Physics 2022-07-04 Saeed Mahdisoltani , Ramin Golestanian

Brownian Dynamics algorithms are widely used for simulating soft-matter and biochemical systems. In recent times, their application has been extended to the simulation of coarse-grained models of cellular networks in simple organisms. In…

Quantitative Methods · Quantitative Biology 2009-11-13 Marco J. Morelli , Pieter Rein ten Wolde

We present a study on the dynamics of a system consisting of a pair of hardcore particles diffusing with different rates. We solved the drift-diffusion equation for this model in the case when one particle, labeled F, drifts and diffuses…

Statistical Mechanics · Physics 2010-12-14 S. L. Narasimhan , A. Baumgaertner

A stochastic dynamics $({\bf X}(t))_{t\ge0}$ of a classical continuous system is a stochastic process which takes values in the space $\Gamma$ of all locally finite subsets (configurations) in $\Bbb R$ and which has a Gibbs measure $\mu$ as…

Probability · Mathematics 2007-05-23 Yuri Kondratiev , Eugene Lytvynov , Michael Röckner

Intracellular processes often rely on the timely encounter of mobile reaction partners, including intermittently motor-driven organelles. The underlying cytoskeletal network presents a complex landscape that both directs particle movement…

Biological Physics · Physics 2025-12-17 Lizzy Teryoshin , Mario Hidalgo-Soria , Elena F. Koslover

Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

Soft Condensed Matter · Physics 2010-11-22 Janne Juntunen , Juha Merikoski

Particle-particle interactions in sedimenting systems have been investigated in the present study considering the many-body hydrodynamic and electrodynamic interactions. These interactions primarily occur in two modes: near-field and…

Fluid Dynamics · Physics 2016-05-04 Sagardip Majumder , Jayabrata Dhar , Suman Chakraborty

The interplay between structure and dynamics in non-equilibrium steady-state is far from understood. We address this interplay by tracking Brownian Dynamics trajectories of particles in a binary colloid of opposite charges in an external…

Soft Condensed Matter · Physics 2016-12-08 Suman Dutta , J. Chakrabarti

The behaviour and stability of soft and biological matter depend significantly on electrostatic interactions, as particles such as proteins and colloids acquire a charge when dispersed in an electrolytic solution. A typical simplification…

Soft Condensed Matter · Physics 2025-05-09 Andraž Gnidovec , Emanuele Locatelli , Simon Čopar , Anže Božič , Emanuela Bianchi

Motivated by subdiffusive motion of bio-molecules observed in living cells we study the stochastic properties of a non-Brownian particle whose motion is governed by either fractional Brownian motion or the fractional Langevin equation and…

Statistical Mechanics · Physics 2016-09-08 Jae-Hyung Jeon , Ralf Metzler

The horizontal dynamics of a bouncing ball interacting with an irregular surface is investigated and is found to demonstrate behavior analogous to a random walk. Its stochastic character is substantiated by the calculation of a permutation…

Physics Education · Physics 2025-09-15 Luiz Antonio Barreiro

We investigate the construction of diffusions consisting of infinitely numerous Brownian particles moving in $\mathbb{R}^d$ and interacting via logarithmic functions (two-dimensional Coulomb potentials). These potentials are very strong and…

Probability · Mathematics 2013-02-05 Hirofumi Osada

A simple model of an active colloid consisting of dumbbell-shaped particles that cyclically change their length without propelling themselves is proposed and analyzed. At nanoscales, it represents an idealization for bacterial cytoplasm or…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuki Koyano , Hiroyuki Kitahata , Alexander S. Mikhailov

Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. Here, we experimentally study the dynamics of highly asymmetric microclusters trapped in air employing…