Fractal Fluctuations and Climate Cycles in Atmospheric Flows (Unabridged ed)
Order in Chaos

Edited by A.M. Selvam

ISBN13: 9781036445195

Imprint: Cambridge Scholars Publishing

Publisher: Cambridge Scholars Publishing

Format: Hardback

Published: 01/06/2025

Availability: Available

Description
Within this book, the author has developed a general systems theory based on classical statistical physics for fractal fluctuations which predicts the following: (i) The fractal fluctuations signify an underlying eddy continuum, the larger eddies being the integrated mean of enclosed smaller-scale fluctuations; (ii) the probability distribution of eddy amplitudes and the variance (square of eddy amplitude) spectrum of fractal fluctuations follow the universal Boltzmann inverse power law expressed as a function of the golden mean; (iii) fractal fluctuations are signatures of quantum-like chaos since the additive amplitudes of eddies when squared represent probability densities analogous to the sub-atomic dynamics of quantum systems such as the photon or electron; (iv) the model predicted distribution is very close to statistical normal distribution for moderate events within two standard deviations from the mean but exhibits a fat long tail that are associated with hazardous extreme events.
  • Nonlinear science
  • Chaos theory
  • Professional & Vocational
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List Price: £70.99