منابع مشابه
Burr, Lvy, Tsallis
The purpose of this short paper dedicated to the 60th anniversary of Prof.Constantin Tsallis is to show how the use of mathematical tools and physical concepts introduced by Burr, L˙ evy and Tsallis open a new line of analysis of the old problem of non-Debye decay and universality of relaxation. We also show how a finite characteristic time scale can be expressed in terms of a q-expectation usi...
متن کاملTsallis Entropy and Conditional Tsallis Entropy of Fuzzy Partitions
The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...
متن کاملTsallis Extended Thermodynamics Applied to 2-d Turbulence: Lévy Statistics and q-Fractional Generalized Kraichnanian Energy and Enstrophy Spectra
The extended thermodynamics of Tsallis is reviewed in detail and applied to turbulence. It is based on a generalization of the exponential and logarithmic functions with a parameter q. By applying this nonequilibrium thermodynamics, the Boltzmann-Gibbs thermodynamic approach of Kraichnan to 2-d turbulence is generalized. This physical modeling implies fractional calculus methods, obeying anomal...
متن کاملProjections Maximizing Tsallis Entropy Projections Maximizing Tsallis Entropy
We consider a small closed physical systems. It has xed energy and if the energy is a power of its generale coordinates then the distribution of any single coordinate will follow a distribution that maximizes Tsallis entropy. For many aspects of entropy can be discussed for such small systems with out going to the thermodynamical limit. By letting the number of degrees of freedom tend to in nit...
متن کاملIs Tsallis thermodynamics nonextensive?
Within the Tsallis thermodynamics framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be recovered. Moreover, we also generalize Einstein's formula for the probability of a fluctuation to occur by means of the maximum statistical entropy method. ...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2004
ISSN: 0378-4371
DOI: 10.1016/j.physa.2004.06.008