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Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets

Opened Access Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets

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Autor: Cuesta, José Antonio
Quintero, Niurka R.
Álvarez Nodarse, Renato
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 2013
Publicado en: Physical Review X, 2013, 3(4), 041014: 1-10
Tipo de documento: Artículo
Resumen: Ratchets are devices that are 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 potentials. The ratchet currents thus obtained in systems as different as semiconductors, Josephson junctions, optical lattices, or ferrofluids show a set of universal features. A satisfactory explanation for them has challenged theorists for decades, and so far, we still lack a general theory of this phenomenon. Here, we provide such a theory by exploring—through functional analysis—the constraints that the simple assumption of time-shift invariance of the ratchet current imposes on its dependence on the external drivings. Because the derivation is based on so general a principle, the resulting expression is valid irrespective of the details and the nature of the physical systems to which it is applied, and of whether they are classical, ...
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Tamaño: 307.9Kb
Formato: PDF

URI: http://hdl.handle.net/11441/23520

DOI: 10.1103/PhysRevX.3.041014

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