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In nanoscale space and pico- to nanoseconds enormous physical, chemical and biological processes take place, while the motions of involved particles/molecules under thermal fluctuations are usually analyzed using the conventional theory of…

Soft Condensed Matter · Physics 2016-02-01 Nan Sheng , YuSong Tu , Pan Guo , RongZheng Wan , ZuoWei Wang , HaiPing Fang

Overdamped Brownian motion of a self-propelled particle is studied by solving the Langevin equation analytically. On top of translational and rotational diffusion, in the context of the presented model, the "active" particle is driven along…

Soft Condensed Matter · Physics 2013-05-15 Borge ten Hagen , Sven van Teeffelen , Hartmut Löwen

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

Statistical Mechanics · Physics 2009-06-05 Peter Hanggi , Fabio Marchesoni

Differently from passive Brownian particles, active particles, also known as self-propelled Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy from their environment and converting it into directed motion.…

We present results of molecular dynamics (MD) calculations of the effective thermal conductivity of nanofluids containing self-propelled nanoparticles. The translational and rotational dynamics observed in the simulations follow the…

Soft Condensed Matter · Physics 2024-06-19 Wei Peng , Anirban Chandra , Pawel Keblinski , Jeffrey L. Moran

The biotransport of the intravascular nanoparticle (NP) is influenced by both the complex cellular flow environment and the NP characteristics. Being able to computationally simulate such intricate transport phenomenon with high efficiency…

Fluid Dynamics · Physics 2018-04-24 Zixiang Liu , Yuanzheng Zhu , Rekha R. Rao , Jonathan R. Clausen , Cyrus K. Aidun

The non-thermal nature of self-propelling colloids offers new insights into non-equilibrium physics. The central mathematical model to describe their trajectories is active Brownian motion, where a particle moves with a constant speed,…

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

Statistical Mechanics · Physics 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

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…

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

In this work, we report a new method to simulate active Brownian particles (ABPs) in molecular dynamics (MD) simulations. Immersed in a fluid, each ABP consists of a head particle and a spherical phantom region of fluid where the flagellum…

Soft Condensed Matter · Physics 2019-02-15 Liya Wang , Xinpeng Xu , Zhigang Li , Tiezheng Qian

It is well known that understanding the transport properties of liquid crystals (LCs) is crucial to optimise their performance in a number of technological applications. In this work, we analyse the effect of shape anisotropy on the…

Soft Condensed Matter · Physics 2019-06-26 Neftalí Morillo , Alessandro Patti , Alejandro Cuetos

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

The motion of particles in random potentials occurs in several natural phenomena ranging from the mobility of organelles within a biological cell to the diffusion of stars within a galaxy. A Brownian particle moving in the random optical…

Optics · Physics 2014-02-06 Giorgio Volpe , Giovanni Volpe , Sylvain Gigan

Anomalous diffusion is an established phenomenon but still a theoretical challenge in non-equilibrium statistical mechanics. Physical models are built incrementally, and the most recent and most general family is based on the fractional…

Probability · Mathematics 2025-07-23 Christian Bender , Yana A. Butko , Mirko D'Ovidio , Gianni Pagnini

We introduce a model of self-propelled particles carrying out a Brownian motion with a diffusion coefficient which depends on the local density of particles within a certain finite radius. Numerical simulations show that in a range of…

Statistical Mechanics · Physics 2009-11-11 Cristobal Lopez

Active Brownian particles are capable of taking up energy from their environment and converting it into directed motion; examples range from chemotactic cells and bacteria to artificial micro-swimmers. We have recently demonstrated that…

Soft Condensed Matter · Physics 2012-06-29 Ivo Buttinoni , Giovanni Volpe , Felix Kümmel , Giorgio Volpe , Clemens Bechinger
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