Temporal Complexity of the Order Parameter at the Phase Transition

Abstract

We study a decision making model in a condition where it is equivalent to the two-dimensional Ising model, and we show that at the onset of phase transition it generates temporal complexity, namely, nonstationary and nonergodic fluctuations. We argue that this is a general property of criticality, thereby opening the door to the application of the recently discovered phenomenon of complexity matching: For an efficient transfer of information to occur, a perturbing complex network must share the same temporal complexity as the perturbed complex network.

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Document Details

Document Type
Technical Report
Publication Date
Jun 24, 2011
Accession Number
ADA634212

Entities

People

  • Bruce J. West
  • Malgorzata Turalska
  • Paolo Grigolini

Organizations

  • Army Research Office

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Complex Systems
  • Couplings
  • Diffusion Coefficient
  • Dynamics
  • Equations
  • Information Science
  • Magnetic Resonance
  • Military Research
  • Phase
  • Phase Diagrams
  • Phase Transformations
  • Probability
  • Statistics
  • Systems Biology
  • Time Intervals
  • Transitions
  • Two Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Graph Algorithms and Convex Optimization.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.