Nematic liquid crystals: From maier-saupe to a continuum theory

Molecular Crystals and Liquid Crystals

Volumn 525, Issue , 2010, Pages 1-11

  Ball, John M ^a   Majumdar, Apala ^a  

^a NONE

Author keywords

Eigenvalue constraints; elastic constants; Landau de Gennes; Maier Saupe; nematic liquid crystals

Indexed keywords

ASYMPTOTICS; CONTINUUM THEORY; EIGEN-VALUE; EIGENVALUE CONSTRAINTS; EIGENVALUES; ENERGY FUNCTIONALS; FIRST-ORDER; INHOMOGENEOUS SYSTEM; LOW-TEMPERATURE REGIME; MACROSCOPIC VARIABLES; MEAN FIELD APPROACH; MEAN-FIELD; NEMATIC ISOTROPIC PHASE TRANSITION; ORDER PARAMETER; PHYSICAL CONSTRAINTS; Q-TENSOR; SECOND MOMENTS; TEMPERATURE REGIMES;

CONTINUUM MECHANICS; CRYSTALS; DISTRIBUTION FUNCTIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC CONSTANTS; LIQUID CRYSTALS; LIQUIDS; OPTIMIZATION; PHASE TRANSITIONS; TENSORS;

NEMATIC LIQUID CRYSTALS;

EID: 77954671237     PISSN: 15421406     EISSN: 15635287     Source Type: Journal    
DOI: 10.1080/15421401003795555     Document Type: Conference Paper

References (12)

1. Ball, J. M. (2007). Graduate lecture course "Mathematical theories of liquid crystals".
2. Ball, J. M. & Majumdar, A. (2010). Energy minimization and constraints on the eigenvalues of the Q-tensor for nematic liquid crystals, in preparation.
3. Bender, C. & Orzag, S. (1978). Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory. McGraw Hill.
4. De Gennes, P. G. (1974). The physics of liquid crystals, Clarendon Press: Oxford.
5. Evans, L. (1998). Partial Differential Equations. American Mathematical Society, Providence.
6. Fatkullin, I. & Slastikov, V. (2005). Critical points of the Onsager functional on a sphere. Nonlinearity, 18, 2565-2580.
7. Forest, M. G., Wang, Q., & Zhou, H. (2000). Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows. Physics of Fluids, 12(3), 490-498.
8. Katriel, J., Kventsel, G. F., Luckhurst, G. R., & Sluckin, T. J. (1986). Free Energies in the Landau and Molecular Field Approaches. Liquid Crystals, 1, 337-355.
9. Maier, W., & Saupe, A. (1959). A simple molecular statistical theory of the nematic crystalline-liquid phase. I Z Naturf. a, 14, 882-889.
10. Majumdar, A. Equilibrium order parameters of liquid crystals in the Landau-de Gennes theory. European J. of Appl. Math., 21, 181-203.
11. Mottram, N. J., & Newton, C. (2004). Introduction to Q-tensor Theory. University of Strathclyde, Department of Mathematics, Research Report, 10.
12. Palffy-Muhoray, P. (2004). Lecture notes on Liquid Crystal Materials, Private communication.