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Generalized specific heat as a characteristic measure in chaos

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Zeitschrift für Physik B Condensed Matter

Abstract

The bit number variance of the invariant density of a chaotic dynamic system is discussed as a characteristic measure which represents an analogue of the specific heat in statistical thermodynamics. It is sensitive to correlations in a higher degree than the entropy. Moreover it is invariant under scaling transformations of the coordinates. Its relation with the spectrum of generalized dimensionsD q and the spectrum of singularitiesf(α) is pointed out.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Rheinisch-Westfälische Technische Hochschule, Templergraben 55, D-5100, Aachen, Federal Republic of Germany

    F. Schlögl & E. Schöll

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  1. F. Schlögl
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  2. E. Schöll
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Schlögl, F., Schöll, E. Generalized specific heat as a characteristic measure in chaos. Z. Physik B - Condensed Matter 71, 231–235 (1988). https://doi.org/10.1007/BF01312794

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  • DOI: https://doi.org/10.1007/BF01312794

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