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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…

Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. Here, we experimentally study the dynamics of highly asymmetric microclusters trapped in air employing…

Observation of the Brownian motion of a small probe interacting with its environment is one of the main strategies to characterize soft matter. Essentially two counteracting forces govern the motion of the Brownian particle. First, the…

Soft Condensed Matter · Physics 2011-08-18 Thomas Franosch , Matthias Grimm , Maxim Belushkin , Flavio Mor , Giuseppe Foffi , László Forró , Sylvia Jeney

We extend our previous studies on a counter-intuitive effect in which a directed transport of a free Brownian particle induced by active fluctuations can be significantly enhanced when the particle is placed in a periodic potential. It is…

Statistical Mechanics · Physics 2023-10-05 Karol Białas , Jerzy Łuczka , Jakub Spiechowicz

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

We investigate the dynamics of Brownian particles in internal state- dependent symmetric and periodic potentials. Although no space or time symmetry of the Hamiltonian is broken, we show that directed transport can appear. We demonstrate…

Other Condensed Matter · Physics 2009-11-10 Laurent Sanchez-Palencia

Brownian motion is the perpetual irregular motion exhibited by small particles immersed in a fluid. Such random motion of the particles is produced by statistical fluctuations in the collisions they suffer with the molecules of the…

Physics Education · Physics 2007-05-23 Kasturi Basu , Kopinjol Baishya

We study the large-time behaviour of Brownian particles moving through a viscous medium in a confined potential, and which are further subjected to position-dependent driving forces that are periodic in time. We focus on the case where…

Statistical Mechanics · Physics 2009-11-10 Sreedhar B. Dutta , Mustansir Barma

Chemically powered self-propelled colloids generate a motor force by converting locally a source of energy into directed motion, a process that has been explored both in experiments and in computational models. The use of active colloids as…

Soft Condensed Matter · Physics 2019-08-22 Pierre de Buyl

We study transport properties of an inertial Brownian particle moving in viscous symmetric periodic structures and driven by an oscillating signal of two harmonic components. We analyze the influence of symmetric, antisymmetric and…

Statistical Mechanics · Physics 2010-10-26 Lukasz Machura , Marcin Kostur , Jerzy Luczka

Controlled long-range transport of micro- and nano-scale objects is a key requirement in lab-on-a-chip and microfluidic applications, enabling the efficient capture, concentration, manipulation, and detection of analytes. Traditional…

Non-typical transport phenomena may arise when randomly driven particles remain in an active relationship with the environment instead of being passive. If we attribute to Brownian particles an ability to induce alterations of the…

Statistical Mechanics · Physics 2009-10-31 Piotr Garbaczewski

Brownian computers utilize thermal fluctuations as a resource for computation and hold promise for achieving ultra-low-energy computations. However, the lack of a statistical direction in Brownian motion necessitates the incorporation of…

Statistical Mechanics · Physics 2025-12-23 Sho Nakade , Ferdinand Peper , Kazuki Kanki , Tomio Petrosky

The average current of an overdamped Brownian particle moving along the axis of a three-dimensional periodic tube is investigated in the presence of a symmetric potential and a temporally symmetric unbiased external force. Reduction of the…

Statistical Mechanics · Physics 2015-05-20 Bao-quan Ai , Liang-gang Liu

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

We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a…

Statistical Mechanics · Physics 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

In this article we present methods for measuring hindered Brownian motion in the confinement of complex 3D geometries using digital video microscopy. Here we discuss essential features of automated 3D particle tracking as well as diffusion…

Fluid Dynamics · Physics 2014-08-20 Simon L Dettmer , Ulrich F Keyser , Stefano Pagliara

We study a genuine Brownian motor by hard disk molecular dynamics and calculate analytically its properties, including its drift speed and thermal conductivity, from microscopic theory.

Statistical Mechanics · Physics 2007-05-23 C. Van den Broeck , R. Kawai , P. Meurs

Brownian systems are characterized by spatiotemporal disorder, which arises from the erratic motion of particles driven by thermal fluctuations. When light interacts with such systems, it typically produces unpolarized and uncorrelated…

Optics · Physics 2026-01-07 Xiao Zhang , Peiyang Chen , Mei Li , Yuzhi Shi , Erez Hasman , Bo Wang , Xianfeng Chen

Anomalous transport of non-Markovian, thermal Brownian particle dynamics in spatially-periodic symmetric systems that is driven by time-periodic symmetric driving and constant bias is investigated numerically. The Brownian dynamics is…

Superconductivity · Physics 2010-10-26 M. Kostur , J. Luczka , P. Hanggi
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