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Entropy 2012, 14, 174-176; doi:10.3390/e14020174 ISSN 1099-4300

Summary: Entropy 2012, 14, 174-176; doi:10.3390/e14020174
ISSN 1099-4300
Special Issue: Tsallis Entropy
Anastasios Anastasiadis
Space Research and Technology Group, Institute for Space Applications and Remote Sensing,
National Observatory of Athens, GR-15236, Penteli, Greece; E-Mail: anastasi@noa.gr
Received: 2 February 2012 / Accepted: 2 February 2012 / Published: 3 February 2012
One of the crucial properties of the Boltzmann-Gibbs entropy in the context of classical
thermodynamics is extensivity, namely proportionality with the number of elements of the system. The
Boltzmann-Gibbs entropy satisfies this prescription if the subsystems are statistically (quasi-)
independent, or typically if the correlations within the system are essentially local. In such cases the
energy of the system is typically extensive and the entropy is additive. In general, however, the
situation is not of this type and correlations may be far from negligible at all scales. Tsallis in 1988
introduced an entropic expression characterized by an index q which leads to a non-extensive statistics.
Tsallis entropy, Sq, is the basis of the so called non-extensive statistical mechanics, which generalizes
the Boltzmann-Gibbs theory. Tsallis statistics have found applications in a wide range of phenomena
in diverse disciplines such as physics, chemistry, biology, medicine, economics, geophysics, etc. The


Source: Anastasiadis, Anastasios - Institute for Space Applications and Remote Sensing, National Observatory of Athens


Collections: Physics