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We study the induced dynamics of an inertial tracer particle elastically coupled to passive or active Brownian particles. We integrate out the environment degrees of freedom to obtain generalized Langevin equation for the tracer dynamics in…

Statistical Mechanics · Physics 2023-08-16 Ion Santra

In living cells, molecular motors create activity that enhances the diffusion of particles throughout the cytoplasm, and not just ones attached to the motors. We demonstrate initial steps toward creating artificial cells that mimic this…

Soft Condensed Matter · Physics 2019-05-01 Viva R. Horowitz , Zachary C. Chambers , İrep Gözen , Thomas G. Dimiduk , Vinothan N. Manoharan

Active colloids constitute a novel class of materials composed of colloidal-scale particles locally converting chemical energy into motility, mimicking micro-organisms. Evolving far from equilibrium, these systems display structural…

The spatiotemporal dynamics in systems of active self-propelled particles is controlled by the propulsion mechanism in combination with various direct interactions, such as steric repulsion, hydrodynamics, and chemical fields. Yet, these…

Soft Condensed Matter · Physics 2024-06-03 Mario Theers , Elmar Westphal , Kai Qi , Roland G. Winkler , Gerhard Gompper

Disagreement percolation connects a Gibbs lattice gas and i.i.d. site percolation on the same lattice such that non-percolation implies uniqueness of the Gibbs measure. This work generalises disagreement percolation to the hard-sphere model…

Probability · Mathematics 2019-07-02 Christoph Hofer-Temmel

We investigate the segregation pattern formations of strongly and weakly fluctuated Brownian particle mixtures, which are confined in spherical containers with finite volumes. We consider systems where the container restricts the motions of…

Soft Condensed Matter · Physics 2015-06-19 Akinori Awazu

We investigate a two-dimensional system of active particles confined to a narrow annular domain. Despite the absence of explicit interactions among the velocities or the active forces of different particles, the system displays a transition…

Statistical Mechanics · Physics 2022-03-15 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi

We study steady-state properties of a bath of active Brownian particles (ABPs) in two dimensions in the presence of two fixed, permeable (hollow) disklike inclusions, whose interior and exterior regions can exhibit mismatching motility…

Soft Condensed Matter · Physics 2021-07-20 Mahmoud Sebtosheikh , Ali Naji

Friction is central to the motion of active (self-propelled) objects such as bacteria, animals, and robots. While in a viscous fluid friction is described by Stokes's law, objects in contact with other solid bodies are often governed by…

Soft Condensed Matter · Physics 2024-11-12 Alexander P. Antonov , Lorenzo Caprini , Anton Ldov , Christian Scholz , Hartmut Löwen

The diffusive behavior of small entities is strongly influenced by the flow of the surrounding medium, which is ubiquitous in natural and artificial environments. In this study, we investigate the transport characteristics of the inertial…

Soft Condensed Matter · Physics 2025-11-19 Ankit Gupta , P. S. Burada

We introduce numerical methods for simulating the diffusive motion of rigid bodies of arbitrary shape immersed in a viscous fluid. We parameterize the orientation of the bodies using normalized quaternions, which are numerically robust,…

Soft Condensed Matter · Physics 2015-10-28 Steven Delong , Florencio Balboa Usabiaga , Aleksandar Donev

Active particles exhibit self-propulsion, leading to transport behavior that differs fundamentally from passive Brownian motion. In confined or structured domains, activity strongly influence escape probabilities and first-passage behavior.…

Soft Condensed Matter · Physics 2026-04-27 Sarafa A. Iyaniwura , Zhiwei Peng

A distinguishing feature of active particles is the nature of the non-equilibrium noise driving their dynamics. Control of these noise properties is, therefore, of both fundamental and applied interest. We demonstrate emergent tuning of the…

Soft Condensed Matter · Physics 2021-01-05 Aniruddh Murali , Pritha Dolai , Ashwini Krishna , K. Vijay Kumar , Shashi Thutupalli

We use Brownian dynamics simulations and theory to study the over-damped spatiotemporal dynamics and pattern formation in a fluid-permeated array of equally spaced, active, elastic filaments that are pinned at one end and free at the other.…

Soft Condensed Matter · Physics 2024-12-31 Sonu Karayat , Prashant K. Purohit , L. Mahadevan , Arvind Gopinath , Raghunath Chelakkot

We study a model of interacting random walkers that proposes a simple mechanism for the emergence of cooperation in group of individuals. Each individual, represented by a Brownian particle, experiences an interaction produced by the local…

Statistical Mechanics · Physics 2007-05-23 Fabio Cecconi , Giuseppe Gonnella , Gustavo P. Saracco

The crystallization of hard spheres at equilibrium is perhaps the most familiar example of an entropically-driven phase transition. In recent years, it has become clear that activity can dramatically alter this order-disorder transition in…

Statistical Mechanics · Physics 2024-11-25 Daniel Evans , Ahmad K. Omar

The anisotropy parameter of two-dimensional equilibrium clusters of site percolation process in long-range self-affine correlated structures are studied numerically. We use a fractional Brownian Motion(FBM) statistic to produce both…

Statistical Mechanics · Physics 2008-09-01 Fatemeh Ebrahimi

We study exclusion processes on the integer lattice in which particles change their velocities due to stickiness. Specifically, whenever two or more particles occupy adjacent sites, they stick together for an extended period of time, and…

Probability · Mathematics 2016-08-11 Miklós Z. Rácz , Mykhaylo Shkolnikov

Motivated by the anomalous diffusion observed in clusters of active Brownian particles (ABPs), where the center-of-mass diffusion coefficient scales as $D\sim N^{-1/2}$ with respect to the number $N$ of particles in the cluster, we derive a…

Statistical Mechanics · Physics 2026-05-07 Daniela Moretti , Pasquale Digregorio , Giuseppe Gonnella , Antonio Suma

Time-lapse microscopy imaging provides direct access to the dynamics of soft and living systems. At mesoscopic scales, such microscopy experiments reveal intrinsic fluctuations, which may have both thermal and non-equilibrium origins. These…

Biological Physics · Physics 2020-12-02 F. S. Gnesotto , G. Gradziuk , P. Ronceray , C. P. Broedersz
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