TY - JOUR
T1 - Evolution from A +2 Defect to +1/2 Defects in a Cylindrical Geometry
AU - Miroshnychenko, Dmitri
AU - Hill, N.A.
AU - Mottram, N.J.
AU - Lydon, J.E.
N1 - The references of this article are secured to subscribers. The DOI requested -- 10.1080/15421400590955334 cannot be found in the Handle System.
PY - 2005
Y1 - 2005
N2 - In this work the dynamics of liquid crystal ordering in a cylindrical geometry are considered. We study a system with liquid crystalline properties that exhibits translational symmetry along the cylinder axis and, therefore, the problem is effectively two-dimensional. The orientation of liquid crystals is described by a tensorial order parameter and the dynamics are governed by a balance between the dissipation and the rate of change of free energy, which includes the elastic, thermotropic and surface energy terms. The evolution of the + 2 defect differentiating first into two + 1 disclinations and subsequently into four + 1/2 defects is analysed. Different boundary conditions, namely strong and weak or no anchoring, have been considered and the critical value for the anchoring strength, at which + 1/2 defects are very close to escaping through the boundary but still remain there at equilibrium, has been identified.
AB - In this work the dynamics of liquid crystal ordering in a cylindrical geometry are considered. We study a system with liquid crystalline properties that exhibits translational symmetry along the cylinder axis and, therefore, the problem is effectively two-dimensional. The orientation of liquid crystals is described by a tensorial order parameter and the dynamics are governed by a balance between the dissipation and the rate of change of free energy, which includes the elastic, thermotropic and surface energy terms. The evolution of the + 2 defect differentiating first into two + 1 disclinations and subsequently into four + 1/2 defects is analysed. Different boundary conditions, namely strong and weak or no anchoring, have been considered and the critical value for the anchoring strength, at which + 1/2 defects are very close to escaping through the boundary but still remain there at equilibrium, has been identified.
KW - anchoring
KW - dislocation dynamics
KW - dissipation
KW - free energy
KW - ordering
KW - structures
UR - http://journalsonline.tandf.co.uk/openurl.asp?genre=article&issn=1542-1406&volume=437&spage=251[1495]
U2 - 10.1080/15421400590955334
DO - 10.1080/15421400590955334
M3 - Article
VL - 437
SP - 1495
EP - 1512
JO - Molecular Crystals and Liquid Crystals
JF - Molecular Crystals and Liquid Crystals
ER -