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Consider a chaotic dynamical system generating Brownian motion-like diffusion. Consider a second, non-chaotic system in which all particles localize. Let a particle experience a random combination of both systems by sampling between them in…

Chaotic Dynamics · Physics 2019-05-01 Y. Sato , R. Klages

The two-dimensional Active Brownian Particles system is meant to be composed of hard disks, that show excluded volume interactions, usually simulated via molecular dynamics using pure repulsive potentials. We show that the softness of the…

We study the transport of active Brownian particles (ABPs) in three-dimensional (3D) oscillatory geometries, which are spatially periodic. We establish a generalized Fick-Jacobs approach, which reduces a 3D system to an effective 1D system…

Soft Condensed Matter · Physics 2025-09-16 Rahul Sinha , Ankit Gupta , P. S. Burada

We study interacting active Brownian particles (ABPs) with a space-dependent swim velocity via simulation and theory. We find that, although an equation of state exists, a mechanical equilibrium does not apply to ABPs in activity…

Soft Condensed Matter · Physics 2024-12-13 Adam Wysocki , Anil K. Dasanna , Heiko Rieger

The pressure of suspensions of self-propelled objects is studied theoretically and by simulation of spherical active Brownian particles (ABP). We show that for certain geometries, the mechanical pressure as force/area of a confined systems…

Statistical Mechanics · Physics 2024-06-03 Roland G. Winkler , Adam Wysocki , Gerhard Gompper

We consider a model of Non-Brownian self-propelled particles with anti-alignment interactions where particles try to avoid each other by attempting to turn into opposite directions. The particles undergo apparent Brownian motion, even…

Statistical Mechanics · Physics 2023-03-07 Thomas Ihle , Rüdiger Kürsten , Benjamin Lindner

We design 3D-printed motor-driven active particles and find that their dynamics can be characterized using the model of overdamped chiral active Brownian particles (ABPs), as demonstrated by measured angular statistics and translational…

Soft Condensed Matter · Physics 2025-02-28 Yuxuan Zhou , Maomao Ge , Ting Wang

Granular materials are an important physical realization of active matter. In vibration-fluidized granular matter, both diffusion and self-propulsion derive from the same collisional forcing, unlike many other active systems where there is…

Soft Condensed Matter · Physics 2017-05-24 Lee Walsh , Caleb G. Wagner , Sarah Schlossberg , Christopher Olson , Aparna Baskaran , Narayanan Menon

Fractional Brownian motion and the fractional Langevin equation are models of anomalous diffusion processes characterized by long-range power-law correlations in time. We employ large-scale computer simulations to study these models in two…

Statistical Mechanics · Physics 2021-04-22 Thomas Vojta , Alex Warhover

Biopolymer networks having a meshwork topology, e.g., extracellular matrix and mucus gels, are ubiquitous. It is an open question to understand how self-propelled agents such as Janus colloidal particles diffuse through such a biopolymer…

Soft Condensed Matter · Physics 2022-10-12 Yeongjin Kim , Sungmin Joo , Won Kyu Kim , Jae-Hyung Jeon

The comb model is a simplified description for anomalous diffusion under geometric constraints. It represents particles spreading out in a two-dimensional space where the motions in the x-direction are allowed only when the y coordinate of…

Computational Physics · Physics 2015-07-21 H. V. Ribeiro , A. A. Tateishi , L. G. A. Alves , R. S. Zola , E. K. Lenzi

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Anomalous diffusion often arises in complex environments where viscoelastic or crowded conditions influence particle motion. In many biological and soft-matter systems, distinct components of the medium exhibit unique viscoelastic…

Soft Condensed Matter · Physics 2026-01-05 Chan Lim , Jae-Hyung Jeon

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

Soft Condensed Matter · Physics 2024-10-16 Zhiwei Peng

A possible mechanism leading to anomalous diffusion is the presence of long-range correlations in time between the displacements of the particles. Fractional Brownian motion, a non-Markovian self-similar Gaussian process with stationary…

Statistical Mechanics · Physics 2019-04-03 Alexander H O Wada , Alex Warhover , Thomas Vojta

In this work we study a two-dimensional system composed by Active Brownian Particles (ABPs) interacting via a repulsive potential with two-length-scales, a soft shell and a hard-core. Depending on the ratio between the strength of the soft…

Soft Condensed Matter · Physics 2024-06-19 Jose Martin-Roca , Raul Martinez , Fernando Martinez-Pedrero , Jorge Ramirez , Chantal Valeriani

We consider a two-type reducible branching Brownian motion, defined as a particle system on the real line in which particles of two types move according to independent Brownian motion and create offspring at constant rate. Particles of type…

Probability · Mathematics 2021-04-08 Mohamed Ali Belloum , Bastien Mallein

It is quite generally assumed that the overdamped Langevin equation provides a quantitative description of the dynamics of a classical Brownian particle in the long time limit. We establish and investigate a paradigm anomalous diffusion…

Statistical Mechanics · Physics 2016-09-26 A. S. Bodrova , A. V. Chechkin , A. G. Cherstvy , H. Safdari , I. M. Sokolov , R. Metzler

We consider stochastic dynamics of self-propelled particles with nonlocal normalized alignment interactions subject to phase lag. The role of the lag is to indirectly generate chirality into particle motion. To understand large scale…

Adaptation and Self-Organizing Systems · Physics 2020-08-12 Nikita Kruk , José A. Carrillo , Heinz Koeppl

We investigate conformations and dynamics of a polymer considering its monomers to be active Brownian particles. This active polymer shows very intriguing physical behavior which is absent in an active Rouse chain. The chain initially…

Soft Condensed Matter · Physics 2020-04-13 Shalabh K. Anand , Sunil P. Singh