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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 2 figures, 1 table, in press on Phys. Rev. Lett

Scientific paper

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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