메뉴 건너뛰기




Volumn 365, Issue 1, 2006, Pages 7-16

Occupancy of phase space, extensivity of Sq, and q-generalized central limit theorem

Author keywords

Central limit theorem; Clausius; Entropy; Nonextensive statistical mechanics

Indexed keywords

CORRELATION THEORY; ENTROPY; GIBBS FREE ENERGY; STATISTICAL MECHANICS; THERMODYNAMICS;

EID: 33646883697     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.01.026     Document Type: Article
Times cited : (20)

References (45)
  • 2
    • 36149028516 scopus 로고
    • [Corrigenda: 24 (1991) 3187 and 25 (1992) 1019]
    • Curado E.M.F., and Tsallis C. J. Phys. A 24 (1991) L69 [Corrigenda: 24 (1991) 3187 and 25 (1992) 1019]
    • (1991) J. Phys. A , vol.24
    • Curado, E.M.F.1    Tsallis, C.2
  • 3
    • 0032299256 scopus 로고    scopus 로고
    • See http://tsallis.cat.cbpf.br/biblio.htm for full bibliography
    • Tsallis C., Mendes R.S., and Plastino A.R. Physica A 261 (1998) 534 See http://tsallis.cat.cbpf.br/biblio.htm for full bibliography
    • (1998) Physica A , vol.261 , pp. 534
    • Tsallis, C.1    Mendes, R.S.2    Plastino, A.R.3
  • 4
    • 33646855797 scopus 로고    scopus 로고
    • M. Gell-Mann, C. Tsallis (Eds.), Nonextensive Entropy-Interdisciplinary Applications, Oxford University Press, New York, 2004.
  • 5
    • 33646886138 scopus 로고    scopus 로고
    • J.P. Boon, C. Tsallis (Eds.), Nonextensive Statistical Mechanics: New Trends, New Perspectives, Europhy. News 36(6) (2005).
  • 10
    • 33645916042 scopus 로고
    • For some real-space techniques, see C. Tsallis, A.C.N. de Magalhaes, Phys. Rep. 268 (1996) 305
    • Wilson K.G. Phys. Rev. B 4 (1971) 3174-3184 For some real-space techniques, see C. Tsallis, A.C.N. de Magalhaes, Phys. Rep. 268 (1996) 305
    • (1971) Phys. Rev. B , vol.4 , pp. 3174-3184
    • Wilson, K.G.1
  • 11
    • 27844531443 scopus 로고    scopus 로고
    • Beck C., Benedek G., Rapisarda A., and Tsallis C. (Eds), Metastbility and Nonextensivity, World Scientific, Singapore
    • Tsallis C. In: Beck C., Benedek G., Rapisarda A., and Tsallis C. (Eds). Complexity (2005), Metastbility and Nonextensivity, World Scientific, Singapore 13
    • (2005) Complexity , pp. 13
    • Tsallis, C.1
  • 12
    • 33646885929 scopus 로고    scopus 로고
    • Y. Sato, C. Tsallis, in: T. Bountis, G. Casati, I. Procaccia (Eds.), Proceedings of the Summer School and Conference on Complexity in Science and Society, Patras and Ancient Olympia, 14-26 July 2004, Complexity: An unifying direction in science, Int. J. Bifur. Chaos (June 2006), in press [cond-mat/0411073].
  • 14
    • 29544434162 scopus 로고    scopus 로고
    • J. Marsh, S. Earl, Phys. Lett. A 349 (2005) 146.
  • 15
    • 33646888210 scopus 로고    scopus 로고
    • G. Polya, Mathematical Discovery, vol. 1, Wiley, New York, 1962, p. 88.
  • 27
    • 33646895661 scopus 로고    scopus 로고
    • S.M. Stigler, Statistics on the Table-The History of Statistical Concepts and Methods, Harvard University Press, Cambridge, 1999, p. 284.
  • 30
    • 33646875499 scopus 로고    scopus 로고
    • D. Sornette, Critical Phenomena in Natural Sciences, Springer, Berlin, 2000, p. 36.
  • 34
    • 2642551460 scopus 로고    scopus 로고
    • C. Tsallis, in: H.L. Swinney, C. Tsallis (Eds.), Anomalous Distributions, Nonlinear Dynamics and Nonextensivity, Physica D 193 (2004) 3.
  • 37
    • 33646886137 scopus 로고    scopus 로고
    • E.K. Lenzi, A.K. Rajagopal, 1999, private discussions.
  • 40
    • 3042773338 scopus 로고    scopus 로고
    • and private discussions since 2001
    • Borges E.P. Physica A 340 (2004) 95 and private discussions since 2001
    • (2004) Physica A , vol.340 , pp. 95
    • Borges, E.P.1
  • 41
    • 13444292288 scopus 로고    scopus 로고
    • H. Suyari, Physica A (2006), in press [cond-mat/0401546]. See also H. Suyari, M. Tsukada, IEEE Trans. Inform. Theory 51 (2005) 753; H. Suyari, in: C. Beck, G. Benedek, A. Rapisarda, C. Tsallis (Eds.), Complexity, Metastability and Nonextensivity, World Scientific, Singapore, 2005, p. 6.
  • 42
    • 33646876848 scopus 로고    scopus 로고
    • M. Gell-Mann, S. Steinberg, S. Umarov, R. Hersh, 2004, private discussions.
  • 43
    • 33646885253 scopus 로고    scopus 로고
    • F. Baldovin, A. Stella, oral communication, August 2005, Kolimbari, Crete, and cond-mat/0510225.
  • 44
    • 33646882152 scopus 로고    scopus 로고
    • L.G. Moyano, C. Tsallis, M. Gell-Mann, Europhys. Lett. (2006), in press [cond-mat/0509229].
  • 45
    • 84964969165 scopus 로고    scopus 로고
    • q, the q-generalized central limit theorem and the q-triplet, in: Proceedings of the International Conference on Complexity and Nonextensivity: New Trends in Statistical Mechanics, Yukawa Institute for Theoretical Physics, Kyoto, 14-18 March, 2005, Prog. Theor. Phys. Suppl., M. Sakagami, N. Suzuki, S. Abe (Eds.), to appear [cond-mat/0510125].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.