Penta-Hepta Defect Motion in Hexagonal Patterns

Details Penta-Hepta Defect Motion in Hexagonal Patterns Penta-Hepta Defect Motion in Hexagonal Patterns

1995-01-03

arxiv.org/abs/patt-sol/9501001v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, Postscript (submitted to PRL)

Scientific paper

10.1103/PhysRevLett.74.4201

Structure and dynamics of penta-hepta defects in hexagonal patterns is studied in the framework of coupled amplitude equations for underlying plane waves. Analytical solution for phase field of moving PHD is found in the far field, which generalizes the static solution due to Pismen and Nepomnyashchy (1993). The mobility tensor of PHD is calculated using combined analytical and numerical approach. The results for the velocity of PHD climbing in slightly non-optimal hexagonal patterns are compared with numerical simulations of amplitude equations. Interaction of penta-hepta defects in optimal hexagonal patterns is also considered.

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