English, Article edition: EXTENDED ENTROPIES AND DISORDER MATT DAVISON; J. S. SHINER

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Bookmark: http://trove.nla.gov.au/version/143771
Physical Description
  • article
Language
  • English

Edition details

Title
  • EXTENDED ENTROPIES AND DISORDER
Author
  • MATT DAVISON
  • J. S. SHINER
Physical Description
  • article
Notes
  • Landsberg's notion of disorder, entropy normalized to maximum entropy, was originally proposed for the Shannon information-theoretic entropy to overcome extensivity-based deficiencies of entropy as a measure of disorder. We generalize Landsberg's concept to three classes of extended entropies: Rényi, Tsallis and LandsbergâVedral. We show an intimate connection between the Rényi disorders and the spectrum of dimensions known as multifractals. Three examples are treated, including one for power law distributions and one based on the logistic map. On the basis of the three examples, it is demonstrated that all three classes of extended disorder are required to fully characterize the corresponding properties of a system. We conjecture, and sketch a proof to support, that all three extended disorders are also sufficient to completely determine a dimension spectrum.
  • Entropy, Landsberg disorder, Rényi entropy, Tsallis entropy, multifractals, nonlinear dynamics, power law distributions, discrete logistic map
  • RePEc:wsi:acsxxx:v:08:y:2005:i:01:p:125-158
Language
  • English
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