Thermostatistics based on Kolmogorov–Nagumo averages: unifying framework for extensive and nonextensive generalizations

نویسندگان

  • Marek Czachor
  • Jan Naudts
چکیده

We show that extensive thermostatistics based on Rényi entropy and Kolmogorov–Nagumo averages can be expressed in terms of Tsallis nonextensive thermostatistics. We use this correspondence to generalize thermostatistics to a large class of Kolmogorov–Nagumo means and suitably adapted definitions of entropy. As an application, we reanalyze linguistic data discussed in a paper by Montemurro.  2002 Elsevier Science B.V. All rights reserved. PACS: 05.20.Gg; 05.70.Ce

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تاریخ انتشار 2002