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The transport of interacting Brownian particles in a periodic asymmetric (ratchet) substrate is studied numerically. In a zero-temperature regime, the system behaves as a reversible step motor, undergoing multiple sign reversals of the…

Statistical Mechanics · Physics 2008-12-31 Rogério M. da Silva , Clécio C. de Souza Silva , Sérgio Coutinho

In a model of $N$ volume-excluding spheres in a $d$-dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence the steady state distribution and axial particle current. We…

Statistical Mechanics · Physics 2021-01-15 Emil Mallmin , Richard A. Blythe , Martin Evans

The underdamped Langevin equation of motion of a particle, in a symmetric periodic potential and subjected to a symmetric periodic forcing with mean zero over a period, with nonuniform friction, is solved numerically. The particle is shown…

Statistical Mechanics · Physics 2008-07-29 S. Saikia , Mangal C. Mahato

We investigate a dissipative, deterministic ratchet model in the overdamped regime driven by a {\it rectangular force}. Extensive numerical calculations are presented in a diagram depicting the drift velocity as a function of a wide range…

Statistical Mechanics · Physics 2008-07-09 David Cubero , Jesús Casado-Pascual , Azucena Alvarez , Manuel Morillo , Peter Hänggi

On the basis of the transport features and experimental phenomena observed in studies of molecular motors, we proposea double-temperature ratchet model of coupled motors to reveal the dynamical mechanism of cooperative transport of motors…

Classical Physics · Physics 2017-02-24 Chen-pu Li , Hong-bin Chen , Zhi-gang Zheng

Information-driven engines that rectify thermal fluctuations are a modern realization of the Maxwell-demon thought experiment. We introduce a simple design based on a heavy colloidal particle, held by an optical trap and immersed in water.…

Statistical Mechanics · Physics 2021-05-21 Tushar K. Saha , Joseph N. E. Lucero , Jannik Ehrich , David A. Sivak , John Bechhoefer

In this article the one-dimensional, overdamped motion of a classical particle is considered, which is coupled to a thermal bath and is drifting in a quenched disorder potential. The mobility of the particle is examined as a function of…

Condensed Matter · Physics 2016-08-31 Stefan SCHEIDL

We consider the A + A --> emptyset reaction, where the transport of the particles is given by Levy flights in a quenched random potential. With a common literature model of the disorder, the random potential can only increase the rate of…

Statistical Mechanics · Physics 2009-11-07 Ligang Chen , Michael W. Deem

We consider motion of a particle in a one-dimensional tilted ratchet potential subject to two-sided tempered stable L\'{e}vy noise characterised by strength $\Omega$, fractional index $\alpha$, skew $\theta$ and tempering $\lambda$. We…

Statistical Mechanics · Physics 2021-05-05 Mathew Zuparic , Alexander Kalloniatis , Dale Roberts

We investigate the dynamics of quantum particles in a ratchet potential subject to an ac force field. We develop a perturbative approach for weak ratchet potentials and force fields. Within this approach, we obtain an analytic description…

Statistical Mechanics · Physics 2009-11-07 Stefan Scheidl , Valerii M. Vinokur

We report on experimental evidence of directed electron transport, induced by external linear-polarized microwave irradiation, in a two-dimensional spatially-periodic asymmetrical system called ratchet. The broken spatial symmetry was…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Sassine , Yu. Krupko , J. -C. Portal , Z. D. Kvon , R. Murali , K. P. Martin , G. Hill , A. D. Wieck

We show that a novel rectification phenomena is possible for overdamped particles interacting with a 2D periodic substrate and driven with a longitudinal DC drive and a circular AC drive. As a function of DC amplitude, the longitudinal…

Statistical Mechanics · Physics 2009-11-07 C. Reichhardt , C. J. Olson , M. B. Hastings

The effect of quenched disorder on the underdamped motion of a periodically driven particle on a ratchet potential is studied. As a consequence of disorder, current reversal and chaotic diffusion may take place on regular trajectories. On…

Condensed Matter · Physics 2016-08-31 C. M. Arizmendi , Fereydoon Family , A. L. Salas-Brito

We consider a massive inelastic piston, whose opposite faces have different coefficients of restitution, moving under the action of an infinitely dilute gas of hard disks maintained at a fixed temperature. The dynamics of the piston is…

Statistical Mechanics · Physics 2008-06-06 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi

We explore rectification phenomena in a system where two-dimensional random walkers interact with a funnel-shaped ratchet under two distinct classes of reflection rules. The two classes include the angle of reflection exceeding the angle of…

Statistical Mechanics · Physics 2023-11-01 Vidyesh Rao Anisetti , Sharath Ananthamurthy , J. M. Schwarz

This research presents a numerical investigation of the flow and heat transfer of a steady dusty flow over a linear horizontal stretching sheet. Transverse force effects have been taken into account. The flow problems formulation comprises…

Fluid Dynamics · Physics 2025-01-24 Subhrajit Kanungo , Pradeep Kumar Tripathy , Tumbanath Samantara

We study by simulation a mixture of active (run-and-tumble) and passive (Brownian) particles with repulsive exclusion interactions in one dimension, subject to a ratchet (smoothed sawtooth) potential. Such a potential is known to rectify…

Statistical Mechanics · Physics 2022-04-27 Jean-François Derivaux , Robert L. Jack , Michael E. Cates

The motion of self-propelled particles can be rectified by asymmetric or ratchet-like periodic patterns in space. Here we show that a non-zero average drift can already be induced in a periodic potential with symmetric barriers when the…

Statistical Mechanics · Physics 2015-06-15 Andrey Pototsky , Aljoscha M. Hahn , Holger Stark

Thermal ratchets can extract useful work from random fluctuations. This is common in the molecular scale, such as motor proteins, and has also been used to achieve directional transport in microfluidic devices. In this work, we use the…

Soft Condensed Matter · Physics 2022-11-08 Gouri Patil , Pranay Mandal , Ambarish Ghosh

We study analytically and numerically the overdamped, deterministic dynamics of a chain of {\it charged}, interacting particles driven by a longitudinal alternating electric field and additionally interacting with a smooth ratchet…

Soft Condensed Matter · Physics 2016-08-16 S. I. Denisov , E. S. Denisova , P. Hänggi