Helices in the wake of precipitation fronts

Shibi Thomas, István Lagzi, Ferenc Molnár, Zoltán Rácz

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A theoretical study of the emergence of helices in the wake of precipitation fronts is presented. The precipitation dynamics is described by the Cahn-Hilliard equation and the fronts are obtained by quenching the system into a linearly unstable state. Confining the process onto the surface of a cylinder and using the pulled-front formalism, our analytical calculations show that there are front solutions that propagate into the unstable state and leave behind a helical structure. We find that helical patterns emerge only if the radius of the cylinder R is larger than a critical value R>Rc, in agreement with recent experiments.

Original languageEnglish
Article number022141
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number2
DOIs
Publication statusPublished - Aug 27 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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