Simple spin models with non-concave entropies

被引:9
|
作者
Touchette, Hugo [1 ]
机构
[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
关键词
D O I
10.1119/1.2794350
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
Two simple spin models are studied to show that the microcanonical entropy can be a non-concave function of the energy, and that the microcanonical and canonical ensembles can give non-equivalent descriptions of the same system in the thermodynamic limit. The two models are simple variations of the classical paramagnetic spin model of non-interacting spins and are solved as easily as the latter model. (C) 2008 American Association of Physics Teachers.
引用
收藏
页码:26 / 30
页数:5
相关论文
共 50 条
  • [1] Non-concave dynamic programming
    Cotter, KD
    Park, JH
    ECONOMICS LETTERS, 2006, 90 (01) : 141 - 146
  • [2] CHARACTERIZING NON-CONCAVE FUNCTIONS ON [0, 1]
    LLOYD, SP
    AMERICAN MATHEMATICAL MONTHLY, 1974, 81 (01): : 94 - 95
  • [3] Surfaces expanding by non-concave curvature functions
    Haizhong Li
    Xianfeng Wang
    Yong Wei
    Annals of Global Analysis and Geometry, 2019, 55 : 243 - 279
  • [4] AIC for the non-concave penalized likelihood method
    Umezu, Yuta
    Shimizu, Yusuke
    Masuda, Hiroki
    Ninomiya, Yoshiyuki
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2019, 71 (02) : 247 - 274
  • [5] Surfaces expanding by non-concave curvature functions
    Li, Haizhong
    Wang, Xianfeng
    Wei, Yong
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2019, 55 (02) : 243 - 279
  • [6] Moving surfaces by non-concave curvature functions
    Ben Andrews
    Calculus of Variations and Partial Differential Equations, 2010, 39 : 649 - 657
  • [7] AIC for the non-concave penalized likelihood method
    Yuta Umezu
    Yusuke Shimizu
    Hiroki Masuda
    Yoshiyuki Ninomiya
    Annals of the Institute of Statistical Mathematics, 2019, 71 : 247 - 274
  • [9] Coefficient Inequalities for concave Cesaro Operator of Non-concave Analytic Functions
    Darus, Maslina
    Ibrahim, Rabha W.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (06): : 1086 - 1092
  • [10] Periodic and chaotic programs of intertemporal optimization models with non-concave net benefit function
    Kopel, M
    Dawid, H
    Feichtinger, G
    JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 1998, 33 (3-4) : 435 - 447