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At fast timescales, the self-similarity of random Brownian motion is expected to break down and be replaced by ballistic motion. So far, an experimental verification of this prediction has been out of reach due to a lack of instrumentation…

Statistical Mechanics · Physics 2010-03-11 Rongxin Huang , Branimir Lukic , Sylvia Jeney , Ernst-Ludwig Florin

By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. On the basis of the generalized Langevin equation, we present an analytic framework for active…

Soft Condensed Matter · Physics 2022-04-13 Alexander R. Sprenger , Christian Bair , Hartmut Löwen

Spin-echo instruments are typically used to measure diffusive processes and the dynamics and motion in samples on ps and ns timescales. A key aspect of the spin-echo technique is to determine the polarisation of a particle beam. We present…

Materials Science · Physics 2018-02-05 Anton Tamtögl , Benjamin Davey , David J. Ward , Andrew P. Jardine , John Ellis , William Allison

The random motion of molecules in living cells has consistently been reported to deviate from standard Brownian motion, a behavior coined as ``anomalous diffusion''. Fluorescence Correlation Spectroscopy (FCS) is a powerful method to…

Quantitative Methods · Quantitative Biology 2024-07-18 Nathan Quiblier , Jan-Michael Rye , Pierre Leclerc , Henri Truong , Abdelkrim Hannou , Laurent Héliot , Hugues Berry

Shear-induced cross-correlations of particle fluctuations perpendicular and along stream-lines are investigated experimentally and theoretically. Direct measurements of the Brownian motion of micron-sized beads, held by optical tweezers in…

Statistical Mechanics · Physics 2009-12-07 Andreas Ziehl , Jochen Bammert , Lukas Holzer , Christian Wagner , Walter Zimmermann

Active Brownian particles (ABPs) are termed out to be a successful way of modeling the moving microorganism on the substrate. In recent studies, it is shown that such organisms can sense the characteristics of the substrate. Motivated by…

Soft Condensed Matter · Physics 2023-10-31 Pawan Kumar Mishra , Ajeya Krishna , Shradha Mishra

The local viscoelastic (VE) environment governs the motion of an embedded microsphere and consequently, pertinent dynamical phenomena. However, studying such phenomena with varying VE properties remains challenging for various reasons,…

Soft Condensed Matter · Physics 2026-03-10 Sanatan Halder , Manas Khan

One of the most promising features of active systems is that they can extract energy from their environment and convert it to mechanical work. Self propelled particles enable rectification when in contact with rigid boundaries. They can…

Soft Condensed Matter · Physics 2022-12-13 M. C. Gandikota , A. Cacciuto

The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale techniques are used to derive general formulae for the steady…

Statistical Mechanics · Physics 2007-05-23 G. A. Pavliotis

We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor guarantees a positive dissipation rate for any configuration of particles and forces, analogously to the Rotne-Prager-Yamakawa tensor for…

Soft Condensed Matter · Physics 2018-08-15 Yulia Sokolov , Haim Diamant

In vitro reconstituted active systems, such as the ATP-driven microtubule bundle suspension developed by the Dogic group, provide a fertile testing ground for elucidating the phenomenology of active liquid crystalline states. Controlling…

Soft Condensed Matter · Physics 2017-01-04 Pau Guillamat , Jordi Ignés-Mullol , Suraj Shankar , M. Cristina Marchetti , Francesc Sagués

Accelerated Stokesian Dynamics (ASD) simulation and a microstructural theory are applied to study structure and the viscosity of hard-sphere Brownian suspensions in active microrheology (MR).We consider moderate to dense suspensions, from…

Soft Condensed Matter · Physics 2016-08-24 Ehssan Nazockdast , Jeffrey F. Morris

Understanding the rheology of colloidal suspensions is crucial in the formulation of a wide selection of industry-relevant products. To characterise the viscoelastic behaviour of these soft materials, one can analyse the microscopic…

Soft Condensed Matter · Physics 2021-07-22 Fabián A. García Daza , Antonio M. Puertas , Alejandro Cuetos , Alessandro Patti

In microrheology, the local rheological properties such as viscoelasticity of a complex fluid are inferred from the free or forced motion of embedded colloidal probe particles. Theoretical machinery developed for forced-probe microrheology…

Soft Condensed Matter · Physics 2022-08-22 Zhiwei Peng , John F. Brady

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

We demonstrate experimentally that the long-range hydrodynamic interactions in an incompressible quasi 2D isotropic fluid result in an anisotropic viscous drag acting on elongated particles. The anisotropy of the drag is increasing with…

Fluid Dynamics · Physics 2017-12-27 Christoph Klopp , Ralf Stannarius , Alexey Eremin

We measure acceleration statistics of neutrally buoyant spherical particles with diameter 0.4 < d/eta <27 in intense turbulence (400< R_lambda <815). High speed cameras image polystyrene tracer particles in a flow between counter-rotating…

Fluid Dynamics · Physics 2009-05-20 Rachel D. Brown , Zellman Warhaft , Greg A. Voth

We perform micro-rheological experiments with a colloidal bead driven through a viscoelastic worm-like micellar fluid and observe two distinctive shear thinning regimes, each of them displaying a Newtonian-like plateau. The shear thinning…

Soft Condensed Matter · Physics 2021-06-02 Rohit Jain , Félix Ginot , Johannes Berner , Clemens Bechinger , Matthias Krüger

How chirality propagates across scales remains an open question in many biological and synthetic systems. An especially clear manifestation of this propagation is found in in vitro gliding assays of cytoskeletal filaments on surfaces,…

Transport in a one-dimensional symmetric device can be activated by the combination of thermal noise and a bi-harmonic drive. For the study case of an overdamped Brownian particle diffusing on a periodic one-dimensional substrate, we…

Statistical Mechanics · Physics 2009-11-11 M. Borromeo , F. Marchesoni