Nonperturbative thermodynamic geometry of anyon gas

被引:46
作者
Mirza, Behrouz [1 ,2 ]
Mohammadzadeh, Hosein [1 ]
机构
[1] Isfahan Univ Technol, Dept Phys, Esfahan 8415683111, Iran
[2] Univ Oregon, Inst Theoret Phys, Eugene, OR 97403 USA
来源
PHYSICAL REVIEW E | 2009年 / 80卷 / 01期
关键词
RIEMANNIAN GEOMETRY; IDEAL-GAS; EXCLUSION STATISTICS; FRACTIONAL-STATISTICS; DIMENSIONS; MECHANICS; STABILITY;
D O I
10.1103/PhysRevE.80.011132
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H. Mohammadzadeh, Rev. E 78, 021127 (2008)], we will derive nonperturbative thermodynamic curvature of a two-dimensional ideal anyon gas. At different values of the thermodynamic parameter space, some unique and behaviors of the anyon gas are explored. A complete picture of attractive and repulsive phases of the gas is given.
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页数:9
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共 33 条
  • [1] Unified geometric description of black hole thermodynamics
    Alvarez, Jose L.
    Quevedo, Hernando
    Sanchez, Alberto
    [J]. PHYSICAL REVIEW D, 2008, 77 (08):
  • [2] Geometry of black hole thermodynamics
    Åman, JE
    Bengtsson, I
    Pidokrajt, N
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (10) : 1733 - 1743
  • [3] Aoyama T, 2001, EUR PHYS J B, V20, P123
  • [4] GEOMETRICAL ASPECTS OF STATISTICAL-MECHANICS
    BRODY, D
    RIVIER, N
    [J]. PHYSICAL REVIEW E, 1995, 51 (02) : 1006 - 1011
  • [5] Information geometry in vapour-liquid equilibrium
    Brody, Dorje C.
    Hook, Daniel W.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (02)
  • [6] STATISTICS OF Q-OSCILLATORS, QUONS AND RELATIONS TO FRACTIONAL STATISTICS
    CHAICHIAN, M
    FELIPE, RG
    MONTONEN, C
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (16): : 4017 - 4034
  • [7] FRACTIONAL STATISTICS IN ARBITRARY DIMENSIONS - A GENERALIZATION OF THE PAULI PRINCIPLE
    HALDANE, FDM
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (08) : 937 - 940
  • [8] BOSON-FERMION TRANSMUTATION AND THE STATISTICS OF ANYONE
    HUANG, WH
    [J]. PHYSICAL REVIEW E, 1995, 51 (04): : 3729 - 3730
  • [9] Statistical interparticle potential between two anyons
    Huang, WH
    [J]. PHYSICAL REVIEW B, 1995, 52 (21): : 15090 - 15092
  • [10] Comment on "Quantum statistical mechanics of an ideal gas with fractional exclusion statistics in arbitrary dimension"
    Huang, WH
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (11) : 2392 - 2392