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An ensemble of Brownian particles in a feedback controlled flashing ratchet is studied. The ratchet potential is switched on and off depending on the position of the particles, with the aim of maximizing the current. We study in detail a…

Statistical Mechanics · Physics 2007-05-23 F. J. Cao , L. Dinis , J. M. R. Parrondo

We show how to switch on and off the ratchet potential of a collective Brownian motor, depending only on the position of the particles, in order to attain a current higher than or at least equal to that induced by any periodic flashing.…

Statistical Mechanics · Physics 2007-09-19 L. Dinis , J. M. R. Parrondo , F. J. Cao

Feedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate the switching on and off a periodic potential. We discuss different strategies for this operation with the aim of maximizing the…

Statistical Mechanics · Physics 2009-01-06 M. Feito , F. J. Cao

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

Closed-loop or feedback control ratchets use information about the state of the system to operate with the aim of maximizing the performance of the system. In this paper we investigate the effects of a time delay in the feedback for a…

Statistical Mechanics · Physics 2007-12-13 M. Feito , F. J. Cao

We investigate the different regimes that emerge when a periodic driving force, the rocking force, acts on a collective feedback flashing ratchet. The interplay of the rocking and the feedback control gives a rich dynamics with different…

Other Condensed Matter · Physics 2009-09-28 M. Feito , J. P. Baltanas , F. J. Cao

Feedback controlled ratchets are thermal rectifiers that use information on the state of the system to operate. We study the effects of time delays in the feedback for a protocol that performs an instantaneous maximization of the…

Statistical Mechanics · Physics 2008-04-13 F. J. Cao , M. Feito

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

In this work we show that optimal ratchet currents of two interacting particles are obtained when stable periodic motion is present. By increasing the coupling strength between identical ratchet maps, it is possible to find, for some…

Chaotic Dynamics · Physics 2019-12-12 Rafael M. da Silva , Cesar Manchein , Marcus W. Beims

It was recently shown that the use of feedback control can improve the performance of a flashing ratchet. We investigate the effect of a time delay in the implementation of feedback control in a closed-loop collective flashing ratchet,…

Statistical Mechanics · Physics 2009-11-13 E. M. Craig , B. R. Long , J. M. R. Parrondo , H. Linke

We have studied the general properties of the energy thresholds of stability for a three-particle system with short-range interaction. A wide region of the interaction constants and various ratios of the masses of particles are considered.…

Nuclear Theory · Physics 2008-11-26 I. V. Simenog , Yu. M. Bidasyuk , B. E. Grinyuk , M. V. Kuzmenko

Run-and-tumble particles constitute one of the simplest models of self-propelled active matter, and provide an ideal playground to the understanding of out-of-equilibrium systems. We consider an idealized setup where one such particle is…

Statistical Mechanics · Physics 2026-02-05 Marco Baldovin , Alessandro Manacorda

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

This paper discusses the time-dependence of the threshold function in the perfect plasticity model. In physical terms, it is natural that the threshold function depends on some unknown variable. Therefore, it is meaningful to discuss the…

Analysis of PDEs · Mathematics 2018-05-29 Takeshi Fukao , Risei Kano

We experimentally investigate the phenomenon of a quantum ratchet created by exposing a Bose-Einstein Condensate to short pulses of a potential which is periodic in both space and time. Such a ratchet is manifested by a directed current of…

Quantum Physics · Physics 2013-05-23 R. K. Shrestha , J. Ni , W. K. Lam , S. Wimberger , G. S. Summy

Optimal control of levitated nanoparticles subjected to thermal fluctuations is a challenging problem, both theoretically and experimentally. In this Letter, we compute the time-dependent harmonic confining potential that steers, in a…

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

In this paper, we consider the stochastic optimal control problem for the interacting particle system. We obtain the stochastic maximum principle of the optimal control system by introducing a generalized backward stochastic differential…

Probability · Mathematics 2025-05-14 Andrey A. Dorogovtsev , Yuecai Han , Kateryna Hlyniana , Yuhang Li

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

Statistical Mechanics · Physics 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

Feedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate the switching on and off of a periodic potential. They can induce directed transport even with symmetric potentials thanks to the…

Statistical Mechanics · Physics 2008-05-27 M. Feito , F. J. Cao
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