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Abstract: We study the transport of information between two complex systems with similar properties. Both systems generate non-Poisson renewal fluctuations with a power-law spectrum 1/f3-μ, the case μ=2 corresponding to ideal 1/f noise. We denote by μS and μP the power-law indexes of the system of interest S and the perturbing system P, respectively. By adopting a generalized fluctuation-dissipation theorem (FDT) we show that the ideal condition of 1/f noise for both systems corresponds to maximal information transport. We prove that to make the system S respond when μS < 2 we have to set the condition μP < 2. In the latter case, if μP < μS, the system S inherits the relaxation properties of the perturbing system. In the case where μP > 2, no response and no information transmission occurs in the long-time limit. We consider two possible generalizations of the fluctuation dissipation theorem and show that both lead to maximal information transport in the condition of 1/f noise.
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Aquino, Gerardo; Bologna, Mauro; West, Bruce J. & Grigolini, Paolo.Transmission of Information Between Complex Systems: 1/ f resonance,
article,
May 31, 2011;
[College Park, Maryland].
(https://digital.library.unt.edu/ark:/67531/metadc40404/:
accessed June 27, 2024),
University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu;
crediting UNT College of Arts and Sciences.
