Dynamics of filaments during the isotropic-smectic A phase transition

W. E, P. Palffy-Muhoray

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

We study the dynamics of filaments formed when certain materials undergo the isotropic-smectic A phase transition. The basis of this work is a solidification model derived from first principles, taking into account elastic, hydrodynamic, and thermodynamic effects. The permeation process, which is solely responsible for the growth of the filament, is analyzed in detail. Various characteristics of the filament, such as growth rates, velocity profile inside the filament, and transport along the filament, are calculated by studying the asymptotic limit of a slender body problem. We also derive, in this limit, the equation governing the dynamics of the centerline of the filament.

Original languageEnglish (US)
Pages (from-to)417-437
Number of pages21
JournalJournal of Nonlinear Science
Volume9
Issue number4
DOIs
StatePublished - Jan 1 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Applied Mathematics

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