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arXiv · 1112.5521

Distributional Response to Biases in Deterministic Superdiffusion

Takuma Akimoto
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Abstract

We report on a novel response to biases in deterministic superdiffusion. For its reduced map, we show using infinite ergodic theory that the time-averaged velocity (TAV) is intrinsically random and its distribution obeys the generalized arc-sine distribution. A distributional limit theorem indicates that the TAV response to a bias appears in the distribution, which is an example of what we term a distributional response induced by a bias. Although this response in single trajectories is intrinsically random, the ensemble-averaged TAV response is linear.

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BibTeXRIS

Takuma Akimoto. 2011-12-23. Distributional Response to Biases in Deterministic Superdiffusion. https://doi.org/10.1103/physrevlett.108.164101

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