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In this work, the ratchet dynamics of Brownian particles driven by an external sinusoidal (harmonic) force is investigated. The gating ratchet effect is observed when another harmonic is used to modulate the spatially symmetric potential in…

Statistical Mechanics · Physics 2015-03-24 Luis Dinis , Niurka R. Quintero

We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing the ratchet…

Pattern Formation and Solitons · Physics 2025-11-11 Niurka R. Quintero , Renato Alvarez-Nodarse , José A. Cuesta

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

Ratchets are devices able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets the asymmetry is induced through a proper choice of external forces and modulations of nonlinear symmetric…

Pattern Formation and Solitons · Physics 2014-02-25 José A. Cuesta , Niurka R. Quintero , Renato Alvarez-Nodarse

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

Transport of a Brownian particle moving in a periodic potential is investigated in the presence of symmetric unbiased external force. The viscous medium is alternately in contact with the two heat reservoirs. We present the analytical…

Biological Physics · Physics 2010-03-22 Bao-quan Ai , Liqiu Wang , Lianggang Liu

We study the response of a Bose-Einstein condensate to an unbiased periodic driving potential. By controlling the space and time symmetries of the driving we show how a directed current can be induced, producing a coherent quantum ratchet.…

Quantum Gases · Physics 2009-11-12 C. E. Creffield , F. Sols

This work reports the existence of Isoperiodic Stable Ratchet Transport Structures in the parameter spaces dissipation versus spatial asymmetry and versus phase of a ratchet model. Such structures were found [Phys. Rev. Lett. 106, 234101…

Chaotic Dynamics · Physics 2011-11-08 Alan Celestino , Cesar Manchein , Holokx A. Albuquerque , Marcus W. Beims

By means of electrical transport measurements we have studied the rectified motion of vortices in ratchet potentials engineered on over-damped Josephson junction arrays. The rectified voltage as a function of the vortex density shows a…

Superconductivity · Physics 2007-05-23 D. E. Shalom , H. Pastoriza

Quantum ratchets exhibit asymptotic currents when driven by a time-periodic potential of zero mean if the proper spatio-temporal symmetries are broken. There has been recent debate on whether directed currents may arise for potentials which…

Quantum Gases · Physics 2012-10-22 Julio Santos , Rafael A. Molina , Juan Ortigoso , Mirta Rodríguez

We demonstrate that the combined effect of a spatially periodic potential, lateral confinement and spin-orbit interaction gives rise to a quantum ratchet mechanism for spin-polarized currents in two-dimensional coherent conductors. Upon…

Mesoscale and Nanoscale Physics · Physics 2007-11-07 Matthias Scheid , Andreas Pfund , Dario Bercioux , Klaus Richter

We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the role of the chaotic dynamics in the…

chao-dyn · Physics 2009-10-31 Jose L. Mateos

We present analytic results for the current in a system moving in an arbitrary periodic potential and driven by weak Gaussian noise with an arbitrary power spectrum which are valid to order (t_c/t_r)^2, where t_c is the largest…

Condensed Matter · Physics 2009-10-22 Mark M. Millonas , Mark I. Dykman

The transport properties of a spherical active Brownian particle in a periodic potential under heavy damping are considered. The self-propelled particle is subjected to the asymmetric potential, detailed balance is lost and the particles…

Soft Condensed Matter · Physics 2022-11-09 Arjun S R , Ronald Benjamin

A thorough analysis of the dynamics in a deterministic optical rocking ratchet (introduced in A. V. Arzola et al., Phys. Rev. Lett. 106, 168104 (2011)) and a comparison with experimental results are presented. The studied system consists of…

Soft Condensed Matter · Physics 2013-06-19 Alejandro V. Arzola , Karen Volke-Sepúlveda , José L. Mateos

Stable periodic structures containing optimal ratchet transport, recently found in the parameter space dissipation versus ratchet parameter [PRL 106, 234101 (2011)], are shown to be resistant to reasonable temperatures, reinforcing the…

Chaotic Dynamics · Physics 2015-06-12 Cesar Manchein , Alan Celestino , Marcus W Beims

We study the threshold control protocol for a collective flashing ratchet. In particular, we analyze the dependence of the current on the values of the thresholds. We have found analytical expressions for the small threshold dependence both…

Statistical Mechanics · Physics 2007-05-23 M. Feito , F. J. Cao

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

We study a system of independent Brownian particles in a flashing ratchet potential that can be turned on or off depending on the position of the particles, with the aim of maximising the speed of the center of mass in the long run. First,…

Statistical Mechanics · Physics 2016-02-02 F. Roca , J. P. G. Villaluenga , L. Dinis

We report results from a computer simulation study on the rotational ratchet effect in systems of magnetic particles interacting via dipolar interactions. The ratchet effect consists of directed rotations of the particles in an oscillating…

Soft Condensed Matter · Physics 2015-06-11 Sebastian Jäger , Sabine H. L. Klapp