Nonergodic Brownian Dynamics and the Fluctuation-Dissipation Theorem

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Nonergodic Brownian motion is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding either a vanishing or a divergent zero-frequency friction strength, the non-Markovian Browninan dynamics exhibits a riveting, anomalous diffusion behavior being characterized by a ballistic or possibly also a localized dynamics. As a consequence, such tailored thermal noise may cause a net acceleration of directed transport in a rocking Brownian motor. Two notable conditions for the thermal noise are identified in order to guarantee the fluctuation-dissipation theorem of first kind.
4 pages, 2 figures

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Statistical Mechanics, Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/110815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0605093
 http://arxiv.org/abs/cond-mat/0605093

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arXiv