Transmission of Information Between Complex Systems: 1/ f resonance

Description:

In this article, the authors study the transport of information between two complex systems with similar properties.

Creator(s):
Creation Date: May 31, 2011
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 65
Past 30 days: 3
Yesterday: 1
Creator (Author):
Aquino, Gerardo

Imperial College London

Creator (Author):
Bologna, Mauro

Universidad de Tarapacá-Casilla

Creator (Author):
West, Bruce J.

Duke University

Creator (Author):
Grigolini, Paolo

University of North Texas

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: May 31, 2011
Description:

In this article, the authors study the transport of information between two complex systems with similar properties.

Degree:
Department: Physics
Note:

Copyright 2011 American Physical Society. The following article appeared in Physical Review E, 83:5; http://pre.aps.org/abstract/PRE/v83/i5/e051130

Note:

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.

Physical Description:

12 p.

Language(s):
Subject(s):
Keyword(s): generalized fluctuation-dissipation theorem | 1/f noise
Source: Physical Review E, 2011, College Park: American Physical Society
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.83.051130
  • ARK: ark:/67531/metadc40404
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 83
Issue: 5
Pages: 12
Peer Reviewed: Yes