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We investigate an intermittent stochastic process, in which the diffusive motion with time-dependent diffusion coefficient $D(t)\sim t^{\alpha-1}$, $\alpha>0$ (scaled Brownian motion), is stochastically reset to its initial position and…

Statistical Mechanics · Physics 2019-07-24 Anna S. Bodrova , Aleksei V. Chechkin , Igor M. Sokolov

A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that active bath transfer to the tracer, thus the model…

Statistical Mechanics · Physics 2025-07-24 Francisco J. Sevilla , Adriano Valdés-Gómez , Alexis Torres-Carbajal

An important question in the field of active matter is whether or not it is possible to predict the phase behavior of these systems. Here, we study the phase coexistence of binary mixtures of torque-free active Brownian particles, for both…

Soft Condensed Matter · Physics 2020-04-03 Berend van der Meer , Vasileios Prymidis , Marjolein Dijkstra , Laura Filion

Brownian particles in random potentials show an extended regime of subdiffusive dynamics at intermediate times. The asymptotic diffusive behavior is often established at very long times and thus cannot be accessed in experiments or…

Soft Condensed Matter · Physics 2014-05-22 Richard D. L. Hanes , Michael Schmiedeberg , Stefan U. Egelhaaf

The emerging diffusive dynamics in many complex systems shows a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted by two independent power-laws. A prominent example for a subdiffusive-diffusive…

Statistical Mechanics · Physics 2018-09-26 D. Molina-Garcia , T. Sandev , H. Safdari , G. Pagnini , A. Chechkin , R. Metzler

We investigated the viscoelastic response of model interphase chromosomes by tracking the three-dimensional motion of hundreds of dispersed Brownian particles of sizes ranging from the thickness of the chromatin fiber up to slightly above…

Biomolecules · Quantitative Biology 2015-01-06 Manon Valet , Angelo Rosa

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

Soft Condensed Matter · Physics 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

Active particles which are self-propelled by converting energy into mechanical motion represent an expanding research realm in physics and chemistry. For micron-sized particles moving in a liquid ("microswimmers"), most of the basic…

Soft Condensed Matter · Physics 2020-02-19 Hartmut Löwen

Escape of active agents from metastable states is of great interest in statistical and biological physics. In this study, we investigate the escape of a flexible active ring, composed of active Brownian particles, from a flat attractive…

Soft Condensed Matter · Physics 2024-08-21 Bin Tang , Jin-cheng Gao , Kang Chen , Tian Hui Zhang , Wen-de Tian

We investigate theoretically and experimentally the first passage-time properties of a spherical Brownian particle that is harmonically trapped at thermal equilibrium in a fluid at constant temperature. By using the overdamped version of…

Statistical Mechanics · Physics 2026-05-26 Brandon R. Ferrer , Juan Ruben Gomez-Solano

We investigate the Brownian motion of boomerang colloidal particles confined between two glass plates. Our experimental observations show that the mean displacements are biased towards the center of hydrodynamic stress (CoH), and that the…

Soft Condensed Matter · Physics 2014-11-18 Ayan Chakrabarty , Andrew Konya , Feng Wang , Jonathan V. Selinger , Kai Sun , Qi-Huo Wei

We determine the nonlocal stress autocorrelation tensor in an homogeneous and isotropic system of interacting Brownian particles starting from the Smoluchowski equation of the configurational probability density. In order to relate stresses…

Statistical Mechanics · Physics 2021-01-12 Florian Vogel , Matthias Fuchs

We prove the existence of solutions to a non-linear, non-local, degenerate equation which was previously derived as the formal hydrodynamic limit of an active Brownian particle system, where the particles are endowed with a position and an…

Analysis of PDEs · Mathematics 2023-10-02 Martin Burger , Simon Schulz

We have directly observed short-time stress propagation in viscoelastic fluids using two optically trapped particles and a fast interferometric particle-tracking technique. We have done this both by recording correlations in the thermal…

Soft Condensed Matter · Physics 2009-11-13 M. Atakhorrami , D. Mizuno , G. H. Koenderink , T. B. Liverpool , F. C. MacKintosh , C. F. Schmidt

We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. By approximating empirical distributions with conditional distributions, we establish coercive and contractive properties for…

Probability · Mathematics 2026-05-28 Songbo Wang

Self-propelled particles serve as minimal models for emulating the dynamic self-organization of microorganisms, yet most synthetic systems remain limited to a single mode of motion, namely active Brownian particles (ABPs). Here, we present…

While active matter physics has traditionally focused on particles with overdamped dynamics, recent years have seen an increase of experimental and theoretical work on active systems with inertia. This also leads to an increased need for…

Statistical Mechanics · Physics 2026-02-13 Michael te Vrugt

The non--static generalized Langevin equation and its corresponding Fokker--Planck equation for the position of a viscous fluid particle were solved in closed form for a time dependent external force. Its solution for a constant external…

Statistical Mechanics · Physics 2018-05-08 Wilmer Olivares-Rivas , Pedro J. Colmenares

We analytically investigate the diffusive motion inferred from experimental observations of active particles driven by quantum vortices on the surface of superfluid helium. We first study the dynamical behavior of an active particle subject…

Statistical Mechanics · Physics 2026-04-21 Yun Jeong Kang , Sung Kyu Seo , Kyungsik Kim

A key feature of turbulent suspensions that involve floating particles on the surface or inertial particles in the bulk is the compressibility of the effective particle-phase velocity field. Little, however, is known about the effects of…

Fluid Dynamics · Physics 2025-12-10 Dipankar Roy , Marco Martins Afonso , Jason R. Picardo , Dario Vincenzi
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