Special Issue "Tsallis Entropy"
A special issue of Entropy (ISSN 1099-4300).
Deadline for manuscript submissions: closed (31 July 2011).
Interests: cellular automata; complexity; acceleration, transport and diffusion processes in dynamical systems
The aim of statistical mechanics is to establish a direct link between the mechanical laws and classical thermodynamics. The uncertainty of an open system state can be quantified by the Boltzmann-Gibbs entropy, which is the widest known uncertainty measure in statistical mechanics.
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 [1988, 1998] introduced an entropic expression characterized by an index q which leads to a nonextensive statistics. Tsallis entropy, Sq, is the basis of the so called nonextensive statistical mechanics, which generalizes the Boltzmann-Gibbs theory. Tsallis statistics has been found applications to a wide range of phenomena in diverse disciplines such as physics, chemistry, biology, medicine, economics, geophysics etc. For this special issue of Entropy we solicit contributions that apply Tsallis entropy in various scientific fields.
Dr. Anastasios Anastasiadis
- Tsallis entropy
- complex system dynamics
- non- extensive statistical mechanics