Special Issue "Tsallis Entropy"

Quicklinks

A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (31 July 2011)

Special Issue Editor

Guest Editor
Dr. Anastasios Anastasiadis
Space Research & Technology Group, Institute for Astronomy, Astrophysics, Space Applications and Remote Sensing, National Observatory of Athens, GR-15236 Penteli, Greece
Website: http://proteus.space.noa.gr/~srtg
E-Mail: anastasi@noa.gr
Phone: +30 2108109194
Fax: +30 2 106138343
Interests: cellular automata; complexity; acceleration, transport and diffusion processes in dynamical systems

Special Issue Information

Dear Colleagues,

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
Guest Editor

Keywords

  • Tsallis entropy
  • complex system dynamics
  • non- extensive statistical mechanics

Published Papers (12 papers)

Download All Papers
Sort by:
Display options:
Select articles Export citation of selected articles as:
Select/unselect all
Displaying article 1-12
p. 701-716
by ,  and
Entropy 2012, 14(4), 701-716; doi:10.3390/e14040701
Received: 1 March 2012; in revised form: 19 March 2012 / Accepted: 30 March 2012 / Published: 10 April 2012
Show/Hide Abstract | Cited by 2 | PDF Full-text (182 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 174-176
by
Entropy 2012, 14(2), 174-176; doi:10.3390/e14020174
Received: 2 February 2012; Accepted: 2 February 2012 / Published: 3 February 2012
Show/Hide Abstract | PDF Full-text (41 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1928-1944
by ,  and
Entropy 2011, 13(11), 1928-1944; doi:10.3390/e13111928
Received: 4 October 2011; Accepted: 21 October 2011 / Published: 1 November 2011
Show/Hide Abstract | Cited by 10 | PDF Full-text (302 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1865-1881
by , , , ,  and
Entropy 2011, 13(10), 1865-1881; doi:10.3390/e13101865
Received: 1 September 2011; in revised form: 28 September 2011 / Accepted: 30 September 2011 / Published: 14 October 2011
Show/Hide Abstract | Cited by 2 | PDF Full-text (443 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1805-1828
by , , ,  and
Entropy 2011, 13(10), 1805-1828; doi:10.3390/e13101805
Received: 1 August 2011; in revised form: 20 September 2011 / Accepted: 27 September 2011 / Published: 29 September 2011
Show/Hide Abstract | PDF Full-text (10102 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1765-1804
by
Entropy 2011, 13(10), 1765-1804; doi:10.3390/e13101765
Received: 15 August 2011; in revised form: 11 September 2011 / Accepted: 19 September 2011 / Published: 28 September 2011
Show/Hide Abstract | Cited by 18 | PDF Full-text (1415 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1746-1764
by ,  and
Entropy 2011, 13(10), 1746-1764; doi:10.3390/e13101746
Received: 26 July 2011; in revised form: 20 September 2011 / Accepted: 20 September 2011 / Published: 26 September 2011
Show/Hide Abstract | Cited by 2 | PDF Full-text (2244 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1694-1707
by , ,  and
Entropy 2011, 13(9), 1694-1707; doi:10.3390/e13091694
Received: 1 August 2011; in revised form: 5 September 2011 / Accepted: 8 September 2011 / Published: 14 September 2011
Show/Hide Abstract | Cited by 1 | PDF Full-text (385 KB)
(This article belongs to the Special Issue Tsallis Entropy)
abstract graphic
p. 1518-1532
by ,  and
Entropy 2011, 13(8), 1518-1532; doi:10.3390/e13081518
Received: 17 May 2011; in revised form: 4 August 2011 / Accepted: 11 August 2011 / Published: 17 August 2011
Show/Hide Abstract | Cited by 1 | PDF Full-text (2392 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1267-1280
by
Entropy 2011, 13(7), 1267-1280; doi:10.3390/e13071267
Received: 6 June 2011; in revised form: 21 June 2011 / Accepted: 6 July 2011 / Published: 11 July 2011
Show/Hide Abstract | Cited by 8 | PDF Full-text (8015 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 1186-1199
by  and
Entropy 2011, 13(6), 1186-1199; doi:10.3390/e13061186
Received: 18 May 2011; in revised form: 15 June 2011 / Accepted: 16 June 2011 / Published: 21 June 2011
Show/Hide Abstract | Cited by 4 | PDF Full-text (140 KB)
(This article belongs to the Special Issue Tsallis Entropy)
p. 841-859
by  and
Entropy 2011, 13(4), 841-859; doi:10.3390/e13040841
Received: 2 March 2011; in revised form: 17 March 2011 / Accepted: 29 March 2011 / Published: 13 April 2011
Show/Hide Abstract | Cited by 12 | PDF Full-text (3104 KB)
(This article belongs to the Special Issue Tsallis Entropy)
Select/unselect all
Displaying article 1-12
Select articles Export citation of selected articles as:

Last update: 25 February 2014

Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert