Disclination dynamics in nematic liquid crystals.
作者： Colin Denniston
关键词: Disclination 、 Flow velocity 、 Annihilation 、 Biaxial nematic 、 Liquid crystal 、 Condensed matter physics 、 Physics 、 Equations of motion 、 Field (physics) 、 Scaling
摘要: This paper presents a simple particle plus field model for the dynamics of disclination lines in nematic liquid crystal. The has no logarithmic divergences with system size and, therefore, need to introduce cutoff. resulting equation motion relates velocity local phase gradient at core disclination. is used obtain solution, scaling behavior small time annihilation pair opposite strength disclinations. In addition, this develops criterion flow speed required free from boundary constraints container.
harvard.edu
sci-hub.se 参考文章(18)
C. W. Oseen, The theory of liquid crystals Transactions of The Faraday Society. ,vol. 29, pp. 883- 899 ,(1933) , 10.1039/TF9332900883
H. Zocher, The effect of a magnetic field on the nematic state Transactions of The Faraday Society. ,vol. 29, pp. 945- 957 ,(1933) , 10.1039/TF9332900945
F. C. Frank, I. Liquid crystals. On the theory of liquid crystals Discussions of the Faraday Society. ,vol. 25, pp. 19- 28 ,(1958) , 10.1039/DF9582500019
J. L. Ericksen, SOME MAGNETOHYDRODYNAMIC EFFECTS IN LIQUID CRYSTALS. Archive for Rational Mechanics and Analysis. ,vol. 23, pp. 266- 275 ,(1966) , 10.1007/BF00281163
J. L. Ericksen, Inequalities in Liquid Crystal Theory Physics of Fluids. ,vol. 9, pp. 1205- 1207 ,(1966) , 10.1063/1.1761821
F. M. LESLIE, SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 19, pp. 357- 370 ,(1966) , 10.1093/QJMAM/19.3.357
F. M. Leslie, Some constitutive equations for liquid crystals Archive for Rational Mechanics and Analysis. ,vol. 28, pp. 265- 283 ,(1968) , 10.1007/BF00251810
Neil Turok, Global texture as the origin of cosmic structure Physical Review Letters. ,vol. 63, pp. 2625- 2628 ,(1989) , 10.1103/PHYSREVLETT.63.2625
P. E. Cladis, W. van Saarloos, P. L. Finn, A. R. Kortan, Dynamics of line defects in nematic liquid crystals. Physical Review Letters. ,vol. 58, pp. 222- 225 ,(1987) , 10.1103/PHYSREVLETT.58.222
G. Ryskin, M. Kremenetsky, Drag force on a line defect moving through an otherwise undisturbed field: Disclination line in a nematic liquid crystal Physical Review Letters. ,vol. 67, pp. 1574- 1577 ,(1991) , 10.1103/PHYSREVLETT.67.1574