Generalization of the Maier-Saupe theory of the nematics within Tsallis thermostatistics

被引:19
|
作者
Kayacan, O [1 ]
Büyükkiliç, F [1 ]
Demirhan, D [1 ]
机构
[1] Ege Univ, Dept Phys, Fac Sci, TR-35100 Izmir, Turkey
关键词
Tsallis thermodynamics; liquid crystals;
D O I
10.1016/S0378-4371(01)00392-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this study, one of the mean-field theories in nematics, the Maier-Saupe theory (MST), is generalized within Tsallis thermostatistics (TT). The variation of the order parameter versus temperature has been investigated and compared with experimental data for p-azoxyanisole (PAA). So far, we believe that this is the first attempt at the application of TT in liquid crystals. It is well known that MST fails to explain the experimental data for some of the nematics, one of which is PAA. However, generalized MST is able to account for the experimental data for a long range of temperatures. Also, in this study, the effect of nonextensivity is shown for various values of the entropic index. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:255 / 260
页数:6
相关论文
共 50 条
  • [31] Exact solution of Smoluchowski's equation for reorientational motion in Maier-Saupe potential
    Sitnitsky, A. E.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 419 : 373 - 384
  • [32] The smectic effect on solute order parameters rationalized by double Maier-Saupe Kobayashi-McMillan theory
    Weber, Adrian C. J.
    Yang, Xuan
    Dong, Ronald Y.
    Burnell, E. Elliott
    JOURNAL OF CHEMICAL PHYSICS, 2010, 132 (03):
  • [33] Thermodynamics of a Compressible Maier-Saupe Model Based on the Self-Consistent Field Theory of Wormlike Polymer
    Jiang, Ying
    Greco, Cristina
    Daoulas, Kostas Ch.
    Chen, Jeff Z. Y.
    POLYMERS, 2017, 9 (02)
  • [34] Exact solution of Smoluchowski's equation for reorientational motion in Maier-Saupe potential
    Institute of Biochemistry and Biophysics, P.O.B. 30, Kazan
    420111, Russia
    Phys A Stat Mech Appl, (373-384):
  • [35] MONTE-CARLO STUDY OF MAIER-SAUPE MODEL ON SQUARE AND TRIANGLE LATTICES
    MOUNTAIN, RD
    RUIJGROK, TW
    PHYSICA A, 1977, 89 (03): : 522 - 538
  • [36] Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition
    Simoes, M
    Pazeti, M
    Domiciano, SM
    PHYSICAL REVIEW E, 2002, 65 (01): : 1 - 011707
  • [37] Phase behavior of a hard sphere Maier-Saupe nematogenic system in three dimensions
    Lomba, E.
    Martin, C.
    Almarza, N. G.
    Lado, F.
    PHYSICAL REVIEW E, 2006, 74 (02):
  • [38] A good and computationally efficient polynomial approximation to the Maier-Saupe nematic free energy
    Soule, Ezequiel R.
    Rey, Alejandro D.
    LIQUID CRYSTALS, 2011, 38 (02) : 201 - 205
  • [39] Modulated phases in a three-dimensional Maier-Saupe model with competing interactions
    Bienzobaz, P. F.
    Xu, Na
    Sandvik, Anders W.
    PHYSICAL REVIEW E, 2017, 96 (01)
  • [40] Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
    Almarza, N. G.
    Martin, C.
    Lomba, E.
    PHYSICAL REVIEW E, 2009, 80 (03):