Absence of ordering in a class of real liquids—Application to nematic liquid crystals
- 1 April 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (4), 802-805
- https://doi.org/10.1063/1.523738
Abstract
A classical liquid, the constituants of which are characterized by an internal structure described by a compact connected Lie group, is studied. The order parameter of such systems is shown to vanish for dimension smaller than three. The example of nematic liquid crystals is considered.This publication has 10 references indexed in Scilit:
- On the classical limit and the problem of phase transitionsJournal of Physics A: General Physics, 1977
- Phase Transitions in the Quantum Heisenberg ModelPhysical Review Letters, 1976
- Liquid crystalsReports on Progress in Physics, 1976
- Infrared bounds, phase transitions and continuous symmetry breakingCommunications in Mathematical Physics, 1976
- Absence of ordering in a class of lattice systemsCommunications in Mathematical Physics, 1975
- Absence of Ordering in Certain Classical SystemsJournal of Mathematical Physics, 1967
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- The free energy of a macroscopic systemArchive for Rational Mechanics and Analysis, 1964
- Eine einfache molekular-statistische Theorie der nematischen kristallinflüssigen Phase. Teil IIZeitschrift für Naturforschung A, 1960
- Some trigonometrical inequalities with applications to the theory of seriesMathematische Zeitschrift, 1936