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Einstein realised that the fluctuations of a Brownian particle can be used to ascertain properties of its environment. A large number of experiments have since exploited the Brownian motion of colloidal particles for studies of dissipative…

Soft Condensed Matter · Physics 2014-08-05 J. Millen , T. Deesuwan , P. Barker , J. Anders

Soft materials such as colloidal suspensions, polymer solutions and liquid crystals are constituted by mesoscopic entities held together by weak forces. Their mechanical moduli are several orders of magnitude lower than those of atomic…

Soft Condensed Matter · Physics 2015-06-16 Ranjini Bandyopadhyay

In the last decade, much theoretical research has focused on studying the strong coupling between organic molecules (or quantum emitters, in general) and light modes. The description and prediction of polaritonic phenomena emerging in this…

Frictional forces affect the rheology of hard-sphere colloids, at high shear rate. Here we demonstrate, via numerical simulations, that they also affect the dynamics of active Brownian particles, and their motility induced phase separation.…

Soft Condensed Matter · Physics 2020-09-25 Pin Nie , Joyjit Chattoraj , Antonio Piscitelli , Patrick Doyle , Ran Ni , Massimo Pica Ciamarra

We present an interesting connection between Brownian motion and magnetism. We use this to determine the distribution of areas enclosed by the path of a particle diffusing on a sphere. In addition, we find a bound on the free energy of an…

Statistical Mechanics · Physics 2007-05-23 Supurna Sinha , Joseph Samuel

We study the motion of active patchy colloids in an optical trap using experiments, theory and numerical simulations. To achieve isotropic and harmonic confinement, we prototype microparticles with a nearly uniform refractive index and…

Soft Condensed Matter · Physics 2022-11-23 Ivo Buttinoni , Lorenzo Caprini , Laura Alvarez , Fabian Jan Schwarzendahl , Hartmut Löwen

We consider the collective motion of finite-sized, overdamped Brownian particles (e.g., motor proteins) in a periodic potential. Simulations of our model have revealed a number of novel cooperative transport phenomena, including (i) the…

Statistical Mechanics · Physics 2009-10-31 Imre Derenyi , Tamas Vicsek

Colloidal particles are often seen as big atoms that can be directly observed in real space. They are therefore playing an increasingly important role as model systems to study processes of interest in condensed matter physics such as…

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

We briefly go through the problem of the quantum description of Brownian motion, concentrating on recent results about the connection between dynamics of the particle and dynamic structure factor of the medium.

Quantum Physics · Physics 2015-06-26 Bassano Vacchini

The dynamics of a tracer molecule near a fluid membrane is investigated, with particular emphasis given to the interplay between the instantaneous position of the particle and membrane fluctuations. It is found that hydrodynamic…

Soft Condensed Matter · Physics 2009-11-11 Thomas Bickel

Recent progress in the understanding of the effect of electrostatics in soft matter is presented. A vast amount of materials contains ions ranging from the molecular scale (e.g., electrolyte) to the meso/macroscopic one (e.g., charged…

Soft Condensed Matter · Physics 2008-12-01 Rene Messina

We synthesize colloidal particles with various anisotropic shapes and track their orientationally resolved Brownian trajectories using confocal microscopy. An analysis of appropriate short-time correlation functions provides direct access…

Soft Condensed Matter · Physics 2014-01-28 Daniela J. Kraft , Raphael Wittkowski , Borge ten Hagen , Kazem V. Edmond , David J. Pine , Hartmut Löwen

Very recent experiments have discovered that localized light in strongly absorbing media displays intriguing diffusive phenomena. Here we develop a first-principles theory of light propagation in open media with arbitrary absorption…

Optics · Physics 2013-10-30 Li-Yi Zhao , Chu-Shun Tian , Zhao-Qing Zhang , Xiang-Dong Zhang

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

Active particle systems are a class of non-equilibrium systems composed of self-propelled Brownian particles; through interactions between particles within the system, a variety of intriguing collective behaviors can emerge. Based on…

Soft Condensed Matter · Physics 2025-09-25 Sihang Guo , Guangyu Yang , Guoqing Meng , Yingying Wang , Junxing Pan , Jinjun Zhang

We propose a simulation method for Brownian dynamics of hard rods in one dimension for arbitrary continuous external force fields. It is an event-driven procedure based on the fragmentation and mergers of clusters formed by particles in…

Statistical Mechanics · Physics 2022-11-16 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

The motion of a particle under the influence of a dynamical disorder is described by the DLD model. One motivation is to understand the motion of an electron inside a metal; Another is to understand quantal Brownian motion. The overview is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Doron Cohen

Miniaturized, self-propelled locomotors use chemo-mechanical transduction mechanisms to convert fuel in the environment to autonomous motion. Recent experimental and theoretical studies demonstrate that these autonomous engines can…

Soft Condensed Matter · Physics 2018-02-07 Ali Mozaffari , Nima Sharifi-Mood , Joel Koplik , Charles Maldarelli