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Science of complexity: Phenomenological basis and possibility of application to problems of chemical engineering

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Abstract

The basic principles of flicker-noise spectroscopy, a new method of analysis of chaotic time and space series, are presented. This method can be considered the phenomenological basis of the currently developing science of complexity, which deals with open nonlinear dissipative systems of various essences-real natural objects. The method is based on the postulate that irregularities in measured dynamic variables are of crucial informational significance in accepting a new hypothesis of scale invariance. In this approach, the power spectra and the structure functions of different orders are governed by irregularities of various types, namely, dynamic spikes and jumps of measured variables. For processes under investigation, the expressions for both the power spectra and the structure functions prove to be identical (invariant) at each of the spatiotemporal levels of the system. The introduced phenomenological parameters completely and unambiguously characterize the state of the evolving system, thus serving as the “passport data” of the system. The possibility of applying the proposed methodology to solving topical problems of chemical engineering is discussed.

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Authors and Affiliations

  1. State Scientific Center of the Russian Federation, Karpov Institute of Physical Chemistry, ul. Vorontsovo pole 10, 103064, Moscow, Russia

    S. F. Timashev

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  1. S. F. Timashev
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Reported at the Conf. “Liquid-Phase Systems and Nonlinear Processes in Chemistry and Chemical Technology,” Ivanovo, 1999.

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Timashev, S.F. Science of complexity: Phenomenological basis and possibility of application to problems of chemical engineering. Theor Found Chem Eng 34, 301–312 (2000). https://doi.org/10.1007/BF02758677

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