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 noise corresponds to a singularity that is expected to be relevant in several experimental conditions.
- Received 13 July 2009
- Publisher error corrected 26 July 2010
DOI:https://doi.org/10.1103/PhysRevLett.105.040601
©2010 American Physical Society
Corrections
26 July 2010
Erratum
Publisher’s Note: Beyond the Death of Linear Response: Optimal Information Transport [Phys. Rev. Lett. 105, 040601 (2010)]
Gerardo Aquino, Mauro Bologna, Paolo Grigolini, and Bruce J. West
Phys. Rev. Lett. 105, 069901 (2010)
Synopsis
A rosy outlook on pink noise
Published 6 August 2010
The reasons why complex systems like neuronal networks process some signals better than others might be buried in the noise.
See more in Physics