Changes of Scale

  • Jan NaudtsEmail author


The Tsallis entropy function is directly related to Renyi’s alpha-entropies. It is shown that in the context of closed mechanical systems the use of Renyi’s entropy function leads to an acceptable definition of the thermodynamic temperature. Since Renyi’s entropies are well known in the physics community because of their appearance in the theory of fractal measures a digression in this direction is included. It is shown that the thermodynamic formalism of fractals fits into the standard non-deformed formalism of statistical mechanics. The Sharma-Mittal entropy functions are mentioned at the end of the chapter.


Exponential Family Entropy Function Fractal Measure Multifractal Analysis Discrete Probability Distribution 
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© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Physics DepartmentUniversity of AntwerpAntwerpBelgium

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