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In this work the diffusion in the quenched trap model with diverging mean waiting times is examined. The approach of randomly stopped time is extensively applied in order to obtain asymptotically exact representation of the disorder…

Statistical Mechanics · Physics 2020-07-21 Stanislav Burov

We explore the transport features of a single flexible polymer chain that walks on a periodic ratchet potential coupled with spatially varying temperature. At steady state the polymer exhibits a fast unidirectional motion where the…

Soft Condensed Matter · Physics 2015-07-20 Mesfin Asfaw Taye

A flashing ratchet transports diffusive particles using a time-dependent, asymmetric potential. Particle speed is predicted to increase when a feedback algorithm based on particle positions is used. We have experimentally realized such a…

Statistical Mechanics · Physics 2008-11-26 Benjamin J. Lopez , Nathan J. Kuwada , Erin M. Craig , Brian R. Long , Heiner Linke

The relationship between anomalous superdiffusive behavior and particle trapping probability is analyzed on a rocking ratchet potential with spatially correlated weak disorder. The trapping probability density is shown, analytically and…

Statistical Mechanics · Physics 2019-02-18 D. G. Zarlenga , G. L. Frontini , Fereydoon Family , C. M. Arizmendi

The realization of a directed current for a quantum particle in a flashing asymmetric potential is studied. It is found that a positive current, i.e. in the direction expected for a conventional diffusive ratchet, can be attained at short…

Other Condensed Matter · Physics 2009-11-10 Emil Lundh , Mats Wallin

We study analytically and numerically the ratchet transport of interacting particles induced by a monochromatic driving in asymmetric two-dimensional structures. The ratchet flow is preserved in the limit of strong interactions and can…

Statistical Mechanics · Physics 2008-10-30 A. D. Chepelianskii , M. V. Entin , L. I. Magarill , D. L. Shepelyansky

We analyze the rectified motion of a Brownian particle in a confined environment. We show the emergence of strong cooperativity between the inherent rectification of the ratchet mechanism and the entropic bias of the fluctuations caused by…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

We study the disorder-induced deterministic dispersion of particles uniformly driven in an array of narrow tracks. For different toy models with quenched disorder we obtain exact analytical expressions for the steady-state mean velocity $v$…

Disordered Systems and Neural Networks · Physics 2022-12-01 Federico Elías , Alejandro B. Kolton

The naturally persistent flow of hundreds of dust particles is experimentally achieved in a dusty plasma system with the asymmetric sawteeth of gears on the electrode. It is also demonstrated that the direction of the dust particle flowcan…

Plasma Physics · Physics 2020-02-26 Ya-feng He , Bao-quan Ai , Chao-xing Dai , Chao Song , Rui-qi Wang , Wen-tao Sun , Fu-cheng Liu , Yan Feng

We review our studies of elastic lattices driven by an external force $F$ in the presence of random disorder, which correspond to the case of vortices in superconducting thin films driven by external currents. Above a critical force $F_c$…

Superconductivity · Physics 2016-08-16 Alejandro B. Kolton , Daniel Domínguez

We explore the possibility of obtaining unidirectional current in a symmetric (periodic) potential system without the application of any obvious (apparent) externally applied bias. There are many physical models proposed to accomplish this…

Statistical Mechanics · Physics 2007-05-23 A. M. Jayannavar

We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability density, current, entropy production rate, extractable power, and…

Statistical Mechanics · Physics 2023-08-01 Connor Roberts , Zigan Zhen

Dynamics of a classical particle in a one-dimensional, randomly driven potential is analysed both analytically and numerically. The potential considered here is composed of two identical spatially-periodic saw-tooth-like components, one of…

Statistical Mechanics · Physics 2015-06-25 G. Oshanin , J. Klafter , M. Urbakh

The mixed-state resistive response of a superconductor thin film with an asymmetric washboard pinning potential subject to superimposed dc and ac currents of arbitrary amplitudes and frequency at finite temperature is theoretically…

Superconductivity · Physics 2017-05-01 Valerij A. Shklovskij , Vladimir V. Sosedkin , Oleksandr V. Dobrovolskiy

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

Statistical Mechanics · Physics 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of…

Classical Analysis and ODEs · Mathematics 2013-05-09 Dmitry Vorotnikov

Understanding surface-driven transport is of paramount importance from the perspective of biological applications and the synthesis of microfluidic devices. In this work, we develop an analysis of a local inversion symmetry broken fluid…

Fluid Dynamics · Physics 2026-05-05 Aakash Anand , A. Bhattacharyay

When active matter particles such as swimming bacteria are placed in an asymmetric array of funnels, it has been shown that a ratchet effect can occur even in the absence of an external drive. Here we examine active ratchets for two…

Statistical Mechanics · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the…

Statistical Mechanics · Physics 2024-07-25 Connor Roberts , Emir Sezik , Eloise Lardet

Collective transport properties of a one-dimensional asymmetric periodic substrate (1DAPS) modulated two-dimensional dusty plasma (2DDP) driven by an unbiased sinusoidal excitation force are investigated using Langevin dynamical…

Plasma Physics · Physics 2022-10-06 Wei Li , D. Huang , C. Reichhardt , C. J. O. Reichhardt , Yan Feng