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An asymmetric Brownian particle subjected to an external time-dependent force may acquire a net drift velocity, and thus operate as a motor or ratchet, even if the external force is represented by an unbiased time-periodic function or by a…

Statistical Mechanics · Physics 2018-11-14 A. V. Plyukhin

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

Soft Condensed Matter · Physics 2024-10-16 Zhiwei Peng

The transport properties of Brownian ratchet was studied in the presence of stochastic intensity noise (SIN) in both overdamped and underdamped regimes. In the overdamped case, analytical solution using the matrix continued fraction method…

Statistical Mechanics · Physics 2015-03-19 Yoshihiko Hasegawa , Masanori Arita

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

A ratchet model for coupled Brownian motors, inspired by the motion of individual two-headed molecular motors on cytoskeletal filaments, is proposed. Such motors are modeled as two elastically coupled Brownian particles, each of which moves…

Soft Condensed Matter · Physics 2009-11-07 Debasis Dan , A. M. Jayannavar , Gautam I. Menon

Orientational fluctuations of colloidal particles with magnetic moments may be rectified with the help of external magnetic fields with suitably chosen time dependence. As a result a noise-driven rotation of particles occurs giving rise to…

Statistical Mechanics · Physics 2013-05-29 Volker Becker Andreas Engel

Using computer simulations, we study a two-dimensional system of sterically interacting self-mobile run-and-tumble disk-shaped particles with an underlying periodic quasi-one-dimensional asymmetric substrate, and show that a rich variety of…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

The analysis of single particle trajectories plays an important role in elucidating dynamics within complex environments such as those found in living cells. However, the characterization of intracellular particle motion is often confounded…

The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environment. Imitating typical settings of active micro-rheology…

Statistical Mechanics · Physics 2016-03-17 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

We investigate a two-dimensional system of active particles confined to a narrow annular domain. Despite the absence of explicit interactions among the velocities or the active forces of different particles, the system displays a transition…

Statistical Mechanics · Physics 2022-03-15 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi

In the presence of an obstacle, active particles condensate into a surface "wetting" layer due to persistent motion. If the obstacle is asymmetric, a rectification current arises in addition to wetting. Asymmetric geometries are therefore…

Soft Condensed Matter · Physics 2023-06-06 Mauricio Rojas-Vega , Pablo de Castro , Rodrigo Soto

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

Individual movements of a rod-like self-propelled particle on a flat substrate are quantified. Biological systems that fit into this description may be the Gram-negative delta-proteobacterium Myxococcus xanthus, Gram-negative bacterium…

Biological Physics · Physics 2012-05-03 Gulmammad Mammadov

We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Achim Guckenberger , Stephan Gekle

We review several results related to the problem of a quantum particle in a random environment. In an introductory part, we recall how several functionals of the Brownian motion arise in the study of electronic transport in weakly…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alain Comtet , Jean Desbois , Christophe Texier

We report on the discovery of a unidirectional continuous orbital motion of a single pair of nanoparticles which occurs spontaneously in room-temperature air and can be manipulated by light. By varying the relative position of two…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 Mitsuyoshi Yoneda , Makoto Iwasaki , Kiyotaka Aikawa

We study the noise-induced currents and reliability or coherence of transport in two different classes of rocking ratchets. For this, we consider the motion of Brownian particles in the over damped limit in both adiabatic and non-adiabatic…

Statistical Mechanics · Physics 2007-05-23 Soumen Roy , Debasis Dan , A. M. Jayannavar

We study the noise induced transport of an overdamped Brownian particle in frictional ratchet systems in the presence of external Gaussian white noise fluctuations. The analytical expressions for current and diffusion coefficient are…

Statistical Mechanics · Physics 2007-05-23 Raishma Krishnan , Debasis Dan , A. M. Jayannavar