Canonical ensemble in non-extensive statistical mechanics

被引：5
作者：
Ruseckas, Julius [1 ]
机构：
[1] Vilnius State Univ, Inst Theoret Phys & Astron, A Gostauto 12, LT-01108 Vilnius, Lithuania
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 447卷
关键词：
Generalized statistical mechanics; Tsallis entropy; Canonical ensemble; Nonextensivity; NONEXTENSIVE THERMOSTATISTICS; TSALLIS STATISTICS; THERMODYNAMICS; ENTROPY; DISTRIBUTIONS; TEMPERATURE; SYSTEMS; LAW; VARIABLES; PRESSURE;
D O I：
10.1016/j.physa.2015.12.011
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The framework of non-extensive statistical mechanics, proposed by Tsallis, has been used to describe a variety of systems. The non-extensive statistical mechanics is usually introduced in a formal way, using the maximization of entropy. In this paper we investigate the canonical ensemble in the non-extensive statistical mechanics using a more traditional way, by considering a small system interacting with a large reservoir via short-range forces. The reservoir is characterized by generalized entropy instead of the Boltzmann-Gibbs entropy. Assuming equal probabilities for all available microstates we derive the equations of the non-extensive statistical mechanics. Such a procedure can provide deeper insight into applicability of the non-extensive statistics. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：85 / 99
页数：15
相关论文
共 44 条
  • [1] Correlation induced by Tsallis' nonextensivity
    Abe, S
    [J]. PHYSICA A, 1999, 269 (2-4): : 403 - 409
  • [2] Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Renyi-entropy-based theory
    Abe, S
    [J]. PHYSICA A, 2001, 300 (3-4): : 417 - 423
  • [3] Macroscopic thermodynamics of equilibrium characterized by power law canonical distributions
    Abe, S
    Rajagopal, AK
    [J]. EUROPHYSICS LETTERS, 2001, 55 (01): : 6 - 11
  • [4] Why q-expectation values must be used in nonextensive statistical mechanics
    Abe, Sumiyoshi
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 2006, 305 (03) : 241 - 245
  • [5] Nonextensive thermodynamic relations
    Abe, SY
    Martínez, S
    Pennini, F
    Plastino, A
    [J]. PHYSICS LETTERS A, 2001, 281 (2-3) : 126 - 130
  • [6] Measurement of neutral mesons in p plus p collisions at √s=200 GeV and scaling properties of hadron production
    Adare, A.
    Afanasiev, S.
    Aidala, C.
    Ajitanand, N. N.
    Akiba, Y.
    Al-Bataineh, H.
    Alexander, J.
    Aoki, K.
    Aphecetche, L.
    Armendariz, R.
    Aronson, S. H.
    Asai, J.
    Atomssa, E. T.
    Averbeck, R.
    Awes, T. C.
    Azmoun, B.
    Babintsev, V.
    Bai, M.
    Baksay, G.
    Baksay, L.
    Baldisseri, A.
    Barish, K. N.
    Barnes, P. D.
    Bassalleck, B.
    Basye, A. T.
    Bathe, S.
    Batsouli, S.
    Baublis, V.
    Baumann, C.
    Bazilevsky, A.
    Belikov, S.
    Bennett, R.
    Berdnikov, A.
    Berdnikov, Y.
    Bickley, A. A.
    Boissevain, J. G.
    Borel, H.
    Boyle, K.
    Brooks, M. L.
    Buesching, H.
    Bumazhnov, V.
    Bunce, G.
    Butsyk, S.
    Camacho, C. M.
    Campbell, S.
    Chang, B. S.
    Chang, W. C.
    Charvet, J. -L.
    Chernichenko, S.
    Chiba, J.
    [J]. PHYSICAL REVIEW D, 2011, 83 (05):
  • [7] Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions
    Afsar, Ozgur
    Tirnakli, Ugur
    [J]. EPL, 2013, 101 (02)
  • [8] [Anonymous], 2009, SPRINGER
  • [9] Statistics of Lagrangian quantum turbulence
    Beck, Christian
    Miah, Shihan
    [J]. PHYSICAL REVIEW E, 2013, 87 (03):
  • [10] Zeroth law compatibility of nonadditive thermodynamics
    Biro, T. S.
    Van, P.
    [J]. PHYSICAL REVIEW E, 2011, 83 (06):
12345