Nonbound dislocations in hexagonal patterns: pentagon lines in surface-tension-driven Bénard convection

Kerstin Eckert and André Thess
Phys. Rev. E 60, 4117 – Published 1 October 1999
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Abstract

We report on a novel class of defects in a hexagonal pattern which we call pentalines. They are built up of two nonbound dislocations and are orientated parallel to the roll axis of the mode free of a dislocation. A pentaline has its origin in a transformation of the penta-hepta defect (PHD), taking place at higher supercriticality. The underlying mechanism consists in a combination of glide and climb motion of the original dislocations bound to the PHD. We demonstrate that the pentalines play an important role within the transition from hexagonal towards square convection cells, observed in surface-tension-driven Bénard convection.

  • Received 5 December 1997

DOI:https://doi.org/10.1103/PhysRevE.60.4117

©1999 American Physical Society

Authors & Affiliations

Kerstin Eckert1 and André Thess2

  • 1Institute for Aerospace Engineering, Dresden University of Technology, 01062 Dresden, Germany
  • 2Department of Mechanical Engineering, Ilmenau University of Technology, P.O. Box 100565, 98684 Ilmenau, Germany

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Vol. 60, Iss. 4 — October 1999

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