Beyond the Death of Linear Response: 1/f Optimal Information Transport

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2010

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Abstract

Nonergodic 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 nonergodic renewal processes, by taking as stimulus a similar nonergodic 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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Aquino,Gerardo;Bologna,Mauro;Grigolini,Paolo;West,Bruce J.. 2010. Beyond the Death of Linear Response: 1/f Optimal Information Transport. Physical Review Letters 105(4): 40601-40601.

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10.1103/PhysRevLett.105.040601


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