Beyond the Death of Linear Response: 1/f Optimal Information Transport
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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https://hdl.handle.net/10161/4297Published Version (Please cite this version)
10.1103/PhysRevLett.105.040601Citation
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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