Topological supersymmetry breaking: the origin of 1/f noise

ORAL

Abstract

The scientific community across disciplines is still puzzled by the mysterious phenomenon generically known as 1/f noise -- the long-range (temporal and spatial) correlations that always accompany dynamical behaviors that can be intuitively characterized as chaotic/complex. Here we discuss that within the recently proposed approximation-free cohomological (or Witten-type) Topological Field Theory of Dynamical Systems all (stochastic and deterministic) dynamical systems possess the so-called topological supersymmetry. In its turn, chaotic/complex dynamics is the result of the spontaneous breakdown of this supersymmetry and the emergence of the long-range correlations in the form of 1/f noise, butterfly effect (sensitivity to initial conditions), the power-law statistics for sandpile, neurodynamical and other avalanches, Kolmogorov power spectrum for turbulence etc. is an inevitable consequence of the Goldstone theorem.

Authors

  • Igor Ovchinnikov

    Univ of California - Los Angeles

  • Kang L. Wang

    Univ of California - Los Angeles, University of California, Los Angeles, Device Research Laboratory, Department of Electrical Engineering, University of California, Los Angeles, California, 90095, USA