Optimal strategy for controlling transport in inertial Brownian motors

  • In order to optimize the directed motion of an inertial Brownian motor, we identify the operating conditions that both maximize the motor current and minimize its dispersion. Extensive numerical simulation of an inertial rocked ratchet displays that two quantifiers, namely the energetic efficiency and the Péclet number (or equivalently the Fano factor), suffice to determine the regimes of optimal transport. The effective diffusion of this rocked inertial Brownian motor can be expressed as a generalized fluctuation theorem of the Green -- Kubo type. -- Addendum and Erratum: The expression for the effective diffusion of an inertial, periodically driven Brownian particle in an asymmetric, periodic potential is compared with the step number diffusion which is extracted from the corresponding coarse grained hopping process specifying the number of covered spatial periods within each temporal period. The two expressions are typically different and involve the correlations between the numberIn order to optimize the directed motion of an inertial Brownian motor, we identify the operating conditions that both maximize the motor current and minimize its dispersion. Extensive numerical simulation of an inertial rocked ratchet displays that two quantifiers, namely the energetic efficiency and the Péclet number (or equivalently the Fano factor), suffice to determine the regimes of optimal transport. The effective diffusion of this rocked inertial Brownian motor can be expressed as a generalized fluctuation theorem of the Green -- Kubo type. -- Addendum and Erratum: The expression for the effective diffusion of an inertial, periodically driven Brownian particle in an asymmetric, periodic potential is compared with the step number diffusion which is extracted from the corresponding coarse grained hopping process specifying the number of covered spatial periods within each temporal period. The two expressions are typically different and involve the correlations between the number of hops.show moreshow less

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Metadaten
Author:Lukasz MachuraORCiDGND, Marcin KosturGND, Fabio MarchesoniORCiD, Peter TalknerGND, Peter HänggiGND, Jerzy Łuczka
URN:urn:nbn:de:bvb:384-opus4-2568
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/321
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2006/08/30
Tag:inertial Brownian motor; diffusion; transport processes
GND-Keyword:Brownsche Bewegung; Diffusion; Transportprozess
Source:erschienen in: J. Phys.: Condens. Matter 17 (2005) S3741-S3752; doi:10.1088/0953-8984/17/47/007; url: http://www.iop.org/EJ/abstract/0953-8984/17/47/007/; Erratum: J. Phys.: Condens. Matter 18 (2006) 1-2; doi: 10.1088/0953-8984/18/16/C01; url: http://www.iop.org/EJ/abstract/0953-8984/18/16/C01/
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik