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We show that Brownian motion is spatially not symmetric for mesoscopic particles embedded in a fluid if the particle is not in thermal equilibrium and its shape is not spherical. In view of applications on molecular motors in biological…

软凝聚态物质 · 物理学 2009-11-13 Susan Sporer , Christian Goll , Klaus Mecke

Active Brownian motion commonly assumes spherical overdamped particles. However, self-propelled particles are often neither symmetric nor overdamped yet underlie random fluctuations from their surroundings. Active Brownian motion has…

软凝聚态物质 · 物理学 2022-10-03 Jonas Mayer Martins , Raphael Wittkowski

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 consider an overdamped Brownian particle, exposed to a two-dimensional, square lattice potential and a rectangular ac-drive. Depending on the driving amplitude, the linear response to a weak dc-force along a lattice symmetry axis consist…

统计力学 · 物理学 2009-11-13 D. Speer , R. Eichhorn , P. Reimann

Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution…

量子物理 · 物理学 2019-08-17 Diego G. Arbo , Mario A. Castagnino , Fabian H. Gaioli , Sergio Iguri

We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

统计力学 · 物理学 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

Micron-sized self-propelled (active) particles can be considered as model systems for characterizing more complex biological organisms like swimming bacteria or motile cells. We produce asymmetric microswimmers by soft lithography and study…

We study analytically how noninteracting weakly active particles, for which passive Brownian diffusion cannot be neglected and activity can be treated perturbatively, distribute and behave near boundaries in various geometries. In…

软凝聚态物质 · 物理学 2021-05-05 Michael Wang

Brownian motion of a particle with an arbitrary shape is investigated theoretically. Analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements are derived from the…

统计力学 · 物理学 2015-02-13 Bodan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

Rectification of interacting Brownian particles is investigated in a two-dimensional asymmetric channel in the presence of an external periodic driving force. The periodic driving force can break the thermodynamic equilibrium and induces…

软凝聚态物质 · 物理学 2021-07-19 Narender Khatri , P. S. Burada

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,…

统计力学 · 物理学 2009-06-05 Peter Hanggi , Fabio Marchesoni

Aiming to understand the distribution of fitness levels of individuals in a large population undergoing selection, we study the particle configurations of branching Brownian motion where each particle independently moves as Brownian motion…

概率论 · 数学 2022-01-25 Jiaqi Liu , Jason Schweinsberg

We propose a new mechanism to alter the nature of the potential barriers when a biased Brownian particle under goes a constrained motion in narrow, periodic channel. By changing the angle of the external bias, the nature of the potential…

统计力学 · 物理学 2010-12-06 P. S. Burada , G. Schmid

The effects of Brownian motion on particle interactions with heterogeneous collectors are evaluated by adding stochastic Brownian displacements to the particle trajectories and comparing those trajectories to those where Brownian motion is…

软凝聚态物质 · 物理学 2015-10-23 Marina Bendersky , Maria M. Santore , Jeffrey M. Davis

We analytically investigate the dynamic behavior of an an-isotropic active Brownian particle under various stochastic resetting protocols in two dimensions. The motion of shape-asymmetric active Brownian particles in two dimensions leads to…

统计力学 · 物理学 2025-11-26 Anirban Ghosh , Sudipta Mandal , Subhasish Chaki

We study a diffusion approximation for a model of stochastic motion of a particle in one spatial dimension. The velocity of the particle is constant but the direction of the motion undergoes random changes with a Poisson clock. Moreover,…

泛函分析 · 数学 2022-04-21 Adam Bobrowski , Tomasz Komorowski

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…

软凝聚态物质 · 物理学 2016-02-01 Nan Sheng , YuSong Tu , Pan Guo , RongZheng Wan , ZuoWei Wang , HaiPing Fang

This work deals with the overdamped motion of a particle in a fluctuating one-dimensional periodic potential. If the potential has no inversion symmetry and its fluctuations are asymmetric and correlated in time, a net flow can be generated…

凝聚态物理 · 物理学 2016-10-26 Enrique Abad , Andreas Mielke

Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we theoretically investigate the dynamics of a two-dimensional…

软凝聚态物质 · 物理学 2025-10-01 Yilin Ye , Yacine Amarouchene , Raphaël Sarfati , David S. Dean , Thomas Salez

The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity…

量子物理 · 物理学 2014-09-02 V. A. De Lorenci , E. S. Moreira , M. M. Silva
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