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Feedback Control in a Collective Flashing Ratchet

2004/02/29 by Francisco J. Cao, F. J. Cao, L. Dinis +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #cond-mat.mes-hall #cond-mat.stat-mech #q-bio.BM #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.93.040603

published as Phys. Rev. Lett. 93, 040603 (2004) · LaTeX, 4 pages, 4 figures, improved version to appear in Phys. Rev. Lett

openalex publication_date 2004/07/23 · arxiv created 2004/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 protocol which maximizes the instant velocity of the center of mass of the ensemble at any time. This protocol is optimal for one particle and performs better than any periodic flashing for ensembles of moderate size, but is defeated by a random or periodic switching for large ensembles.

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