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We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

Statistical Mechanics · Physics 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · Physics 2008-06-25 Mark M. Millonas

We study classical stochastic systems with discrete states, coupled to switching external environments. For fast environmental processes we derive reduced dynamics for the system itself, focusing on corrections to the adiabatic limit of…

Statistical Mechanics · Physics 2019-03-27 Peter G. Hufton , Yen Ting Lin , Tobias Galla

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

The clogging behavior of a symmetric binary mixture of particles that are driven in opposite directions through constrictions is explored by Brownian dynamics simulations and theory. A dynamical state with a spontaneously broken symmetry…

Soft Condensed Matter · Physics 2016-12-28 Tobias Glanz , Raphael Wittkowski , Hartmut Löwen

We investigate the effect of cooperative interactions in an ensemble of microorganisms, modelled as self-propelled disk-like and rod-like particles, in a three-dimensional turbulent flow to show flocking as an emergent phenomenon. Building…

Soft Condensed Matter · Physics 2020-05-20 Anupam Gupta , Amal Roy , Arnab Saha , Samriddhi Sankar Ray

Cellular tissue behavior is a multiscale problem. At the cell level, out of equilibrium, biochemical reactions drive physical cell-cell interactions in a typical active matter process. Cell modeling computer simulations are a robust tool to…

Soft Condensed Matter · Physics 2021-02-09 Emanuel F. Teixeira , Heitor C. M. Fernandes , Leonardo G. Brunnet

In this paper we propose a classification of crowd models in built environments based on the assumed pedestrian ability to foresee the movements of other walkers. At the same time, we introduce a new family of macroscopic models, which make…

Optimization and Control · Mathematics 2015-04-22 Emiliano Cristiani , Fabio S. Priuli , Andrea Tosin

The general problem of dissipation in macroscopic large-amplitude collective motion and its relation to energy diffusion of intrinsic degrees of freedom of a nucleus is studied. By applying the cranking approach to the nuclear many-body…

Nuclear Theory · Physics 2016-03-28 V. M. Kolomietz , S. Åberg , S. V. Radionov

As a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self-propelled particles. Our approach is closely related to the recently developed theory of active Brownian motion…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling , Udo Erdmann

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered…

Statistical Mechanics · Physics 2015-03-19 Jihad Touma , Amer Shreim , Leonid Klushin

This study investigates the use of global control strategies to enhance the directed migration of swarms of interacting self-propelled particles confined in a channel. Uncontrolled dynamics naturally leads to wall accumulation, clogging,…

Soft Condensed Matter · Physics 2025-12-03 Chiara Calascibetta , Laëtitia Giraldi , Jérémie Bec

A time-delayed response of individual living organisms to information exchanged within flocks or swarms leads to the emergence of complex collective behaviors. A recent experimental setup by (Khadka et al 2018 Nat. Commun. 9 3864),…

Statistical Mechanics · Physics 2019-09-30 Daniel Geiss , Klaus Kroy , Viktor Holubec

Polymer translocation in crowded environments is a ubiquitous phenomenon in biological systems. We studied polymer translocation through a pore in free, one-sided (asymmetric), and two-sided (symmetric) crowded environments. Extensive…

Soft Condensed Matter · Physics 2024-03-01 Vrinda Garg , Rejoy Mathew , Riyan Ibrahim , Kulveer Singh , Surya K. Ghosh

Active agents can transfer energy to their environment through collective motion, generating accumulation patterns near confining obstacles. Here we investigate how the nature of the microscopic drive-self-propulsion or velocity…

Soft Condensed Matter · Physics 2026-03-18 Francesco Arceri , Vittoria Sposini , Enzo Orlandini , Fulvio Baldovin

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and…

Statistical Mechanics · Physics 2009-11-13 Pawel Romanczuk , Iain D. Couzin , Lutz Schimansky-Geier

We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate the Einstein's method of Brownian motion to deduce the…

Dynamical Systems · Mathematics 2022-02-01 Rahnuma Islam , Akif Ibragimov

We perform Brownian dynamics simulations in two dimensions to study the collective behavior of circle swimmers, which are driven by both, an (effective) translational and rotational self-propulsion, and interact via steric repulsion. We…

Soft Condensed Matter · Physics 2021-06-09 Guo-Jun Liao , Sabine H. L. Klapp

The spontaneous organization of collective activities in animal groups and societies has attracted a considerable amount of attention over the last decade. This kind of coordination often permits group-living species to achieve collective…

Physics and Society · Physics 2010-05-20 Mehdi Moussaid , Simon Garnier , Guy Theraulaz , Dirk Helbing

Macromolecular crowding plays a principal role in a wide range of biological processes including gene expression, chromosomal compaction, and viral infection. However, the impact that crowding has on the dynamics of nucleic acids remains a…

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