Non-extensive entropy from incomplete knowledge of Shannon entropy?
arXiv:cond-mat/0211157 · doi:10.1238/Physica.Regular.071a00443
Abstract
In this paper we give an interpretation of Tsallis' nonextensive statistical mechanics based upon the information-theoretic point of view of Luzzi et al. [cond-mat/0306217; cond-mat/0306247; cond-mat/0307325], suggesting Tsallis' entropy to be not a fundamental concept but rather a derived one, stemming from an incomplete knowledge of the system, not taking properly into account its interaction with the environment. This interpretation seems to avoid some problems occurring with the original interpretation of Tsallis statistics.
v.4. 11 pages. Title changed. Content substantially changed: added discussion of several points raised by various referees and readers; Also reference made to work by Luzzi, Vasconcellos, Galvao Ramos. Physica Scripta, to appear
References in corpus (9)
- Superstatistics
- Constructing a statistical mechanics for Beck-Cohen superstatistics
- On the definition of a unique effective temperature for non-equilibrium critical systems
- Superstatistics: Theory and Applications
- Multi-parameter generalization of nonextensive statistical mechanics
- Temperature and pressure in nonextensive thermostatistics
- Derivation of Tsallis statistics from dynamical equations for a granular gas
- Fluctuation of energy in the generalized thermostatistics
- Numerical calculation of the energy relative fluctuation for a system in contact with a finite heat bath
Cited by in corpus (4)
- Entropic formulation of the uncertainty principle for the number and annihilation operators
- Envelope excitations in electronegative plasmas with electrons featuring the Tsallis distribution
- Tsallis nonextensive statistical mechanics of El Nino Southern Oscillation Index
- Equilibrium statistical mechanics for incomplete nonextensive statistics