Properties of the "non-extensive Gaussian" entropy

Physica A: Statistical Mechanics and its Applications

Volumn 381, Issue 1-2, 2007, Pages 155-163

  Oikonomou, Th ^a,b  

^a INSTITUTE OF NANOSCIENCE AND NANOTECHNOLOGY   (Greece)

^b UNIVERSITY OF ATHENS MEDICAL SCHOOL   (Greece)

Author keywords

Lambert W function; Lesche stability; MaxEnt principle; Thermodynamic stability

Indexed keywords

GAUSSIAN DISTRIBUTION; MATHEMATICAL MODELS; PARAMETRIC DEVICES; THERMODYNAMIC STABILITY;

ENTROPY DISTRIBUTION; ENTROPY MAXIMIZER; LAMBERT W-FUNCTION; LESCHE STABILITY;

ENTROPY;

EID: 34249659548     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.03.010     Document Type: Article

References (18)

1. Tsallis C. J. Stat. Phys. 52 (1988) 479
2. Rényi A. Probability Theory (1970), North-Holland, Amsterdam
3. Sharma B.D., and Mittal D.P. J. Math. Sci. 10 (1975) 28
4. Frank T.D., and Daffertshofer A. Physica A 285 (2000) 351
5. Frank T.D. Physica A 340 (2004) 251
6. Tsallis C., Mendes R.S., and Plastino A.R. Physica A 261 (1998) 534
7. Lesche B. Phys. Rev. E 70 (2004) 017102
8. Tsallis C., and Brigatti E. Continuum Mech. Thermodyn. 16 (2004) 223
9. Lesche B. J. Stat. Phys. 27 2 (1982) 419
10. Abe S., Kaniadakis G., and Scarfone A.M. J. Phys. A 37 (2004) 10513
11. Abe S. Phys. Rev. E 66 (2002) 046134
12. Kaniadakis G., and Scarfone A.M. Physica A 340 (2004) 102
13. Wada T. Continuum Mech. Thermodyn. 16 (2004) 263
14. Scarfone A.M., and Wada T. Phys. Rev. E 72 (2005) 026123
15. S. Abe, Y. Okamoto, Springer, Berlin, 2001.
16. Corless R.M., Gonnet G.H., Hare D.E., Jeffrey D.J., and Knuth D.E. Adv. Comput. Math. 5 (1996) 329
17. Lenzi E.K., Mendes R.S., and da Silva L.R. Physica A 280 (2000) 337
18. Plastino A., and Plastino A.R. Phys. Lett. A 226 (1997) 257