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arXiv · 1007.2917

Beyond the Death of Linear Response: 1/f optimal information transport

Gerardo Aquino·Mauro Bologna·Paolo Grigolini·Bruce J. West
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Abstract

Non-ergodic renewal processes have recently been shown by several authors to be insensitive to periodic perturbations, thereby apparently sanctioning the death of linear response, a building block of nonequilibrium statistical physics. We show that it is possible to go beyond the ``death of linear response" and establish a permanent correlation between an external stimulus and the response of a complex network generating non-ergodic renewal processes, by taking as stimulus a similar non-ergodic process. The ideal condition of 1/f-noise corresponds to a singularity that is expected to be relevant in several experimental conditions.

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Gerardo Aquino, Mauro Bologna, Paolo Grigolini, Bruce J. West. 2010-07-17. Beyond the Death of Linear Response: 1/f optimal information transport. https://doi.org/10.1103/physrevlett.105.040601

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