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Ringlike cores of cylindrically confined nematic point defects
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10.1063/1.2711436
/content/aip/journal/jcp/126/9/10.1063/1.2711436
http://aip.metastore.ingenta.com/content/aip/journal/jcp/126/9/10.1063/1.2711436
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The four typical textures found in nematic capillaries subjected to homeotropic anchoring: PRLD, PPLD, ER, and ERPD. Lines are tangent everywhere to the director field. Singular regions are indicated by black dots.

Image of FIG. 2.
FIG. 2.

Ringlike cores of radial and hyperbolic nematic point defects embedded in a cylindrical cavity. Lines are tangent everywhere to the director field. (A) represents a longitudinal cross section through the radial and hyperbolic rings. (B) corresponds to the transversal cross section through the center of each defect as denoted by the arrows. (C) and (E) are mutually orthogonal longitudinal cross sections through the radial and hyperbolic rings. (D) shows the transversal cross section through the center of each defect as indicated by the arrows.

Image of FIG. 3.
FIG. 3.

-ring cores of the cylindrically confined radial and hyperbolic point defects. The cuboid fields are represented on three faces of the computational volume for the ease of visualization.

Image of FIG. 4.
FIG. 4.

Eigenvalues of the tensor along the radial direction at .

Image of FIG. 5.
FIG. 5.

Toroidal variations of biaxiality within the -ring-like core disclination. The isolevel is while the (A) and (B) plots correspond to the original and enlarged view of the torus, respectively.

Image of FIG. 6.
FIG. 6.

Profiles of biaxiality of -ring-like core disclination along the radial direction. Cases (A), (B), and (C) correspond, to the capillary sizes , 25, and 20, respectively.

Image of FIG. 7.
FIG. 7.

-ring cores of the cylindrically confined radial and hyperbolic point defects. The cuboid fields are represented on three faces of the computational volume for the ease of visualization.

Image of FIG. 8.
FIG. 8.

Eigenvalues of the tensor along the and directions at .

Image of FIG. 9.
FIG. 9.

Toroidal variations of biaxiality within the -ring-like core disclination. The isolevel is while the (A) and (B), plots correspond to the original and enlarged views of the torus, respectively.

Image of FIG. 10.
FIG. 10.

Profiles of biaxiality of -ring core disclination along the radial and axial directions. Cases (A), (B), and (C) correspond to the capillary sizes , 25, and 22.5, respectively.

Image of FIG. 11.
FIG. 11.

Ringlike disclination core of a spherically confined radial point defect. The cuboid fields are represented on three faces of the computational volume for the ease of visualization.

Image of FIG. 12.
FIG. 12.

Eigenvalues of the tensor along the radial direction .

Image of FIG. 13.
FIG. 13.

Time evolution of the biaxial torus during the opening of the -ring core. The labels (1)–(2) give the order of the sequence.

Image of FIG. 14.
FIG. 14.

Evolution of the ring core of a point defect in an unbounded cylindrical cavity (A) and in the presence of neighboring point defect with similar -ring core (B). The critical radial extension of the ring is given by . Arrows and numbers indicate the structure progression with time.

Image of FIG. 15.
FIG. 15.

Time evolution of the biaxial torus during the transformation from the -ring to -ring core. The labels (1)–(3) give the order of the sequence.

Image of FIG. 16.
FIG. 16.

Summary of the texture connections investigated in this work. PD, PPLD, and PRLD stand for point defect, planar polar with line defects, and planar radial with line defect, respectively.

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/content/aip/journal/jcp/126/9/10.1063/1.2711436
2007-03-07
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ringlike cores of cylindrically confined nematic point defects
http://aip.metastore.ingenta.com/content/aip/journal/jcp/126/9/10.1063/1.2711436
10.1063/1.2711436
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