Penta-Hepta Defect Motion in Hexagonal Patterns

Abstract

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.

4 pages, Postscript (submitted to PRL)

Cited by in corpus (6)

• Penta-hepta defect chaos in a model for rotating hexagonal convection
• Mean flow in hexagonal convection: stability and nonlinear dynamics
• Manipulation and removal of defects in spontaneous optical patterns
• Impact of lattice rotation on dislocation motion
• Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow
• Snaking without subcriticality: grain boundaries as non-topological defects