A Comment on Nonextensive Statistical Mechanics

Oded KAFRI

Abstract


Abstract. There is a conception that Boltzmann-Gibbs statistics cannot yield the long tail distribution. This is the justification for the intensive research of nonextensive entropies (i.e. Tsallis entropy and others). Here the error that caused this misconception is explained and it is shown that a long tail distribution exists in equilibrium thermodynamics for more than a century.

Keywords. Long-tail distribution, Power Law, Zipf Law, Tsallis Entropy.

JEL. C62.


Keywords


Long-tail distribution; Power Law; Zipf Law; Tsallis Entropy.

Full Text:


References


Back, C. (2009). Generalize information and entropy in physics, Contemporary Physics, 50(4), 495-510. doi. 10.1080/00107510902823517

Kafri, O., & Kafri, H. (2013). Entropy - God’s Dice Game. CreateSpace, pp. 154-157. [Retrieved from].

Kafri, O. (2009). Entropy principle in direct derivation of Benford's law, Unpublished Paper, [Retrieved from].

Kafri, O. (2016). Sociological inequality and the second law, Journal of Economic and Social Thought, 3(4), xxx-xxx.

Lenzi, E.K., Mendes, R.S., & Silva, L.R. (2000). Statistical mechanics based on Renyi entropy, Phisica A, 280(3-4), 337-345. doi. 10.1016/S0378-4371(00)00007-8

Planck, M. (1901). On the law of distribution of energy in the normal spectrum, Annalen der Physik, 4, 553.

Tsallis, C. (1988). Possible generalization of Boltzmann-Gibbs entropy, Journal of Statistical Physics, 52(1), 479-487. doi. 10.1007/BF01016429




DOI: http://dx.doi.org/10.1453/jel.v3i4.1121

Refbacks

  • There are currently no refbacks.


.......................................................................................................................................................................................................................................................................................................................................

Journal of Economics Library - J. Econ. Lib. - JEL - www.kspjournals.org

ISSN: 2149-2379. Editor : editor-jel@kspjournals.org   Secretarial: secretarial@kspjournals.org   Istanbul - Turkey.

Copyright © KSP Journals