Dynamics of filaments during the isotropic-smectic A phase transition

W. E; P. Palffy-Muhoray

doi:10.1007/s003329900075

Dynamics of filaments during the isotropic-smectic A phase transition

W. E, P. Palffy-Muhoray

Mathematics

Research output: Contribution to journal › Article › peer-review

27 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 language	English (US)
Pages (from-to)	417-437
Number of pages	21
Journal	Journal of Nonlinear Science
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/s003329900075
State	Published - 1999

All Science Journal Classification (ASJC) codes

Modeling and Simulation
General Engineering
Applied Mathematics

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10.1007/s003329900075

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title = "Dynamics of filaments during the isotropic-smectic A phase transition",

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.",

author = "W. E and P. Palffy-Muhoray",

note = "Funding Information: ⁄ Research supported by Air Force Grant F49620-95-1-0065 and NSF Grant DMS-9623137. † Research supported by NSF under ALCOM Grant 89-DMR20147.",

year = "1999",

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AU - E, W.

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N1 - Funding Information: ⁄ Research supported by Air Force Grant F49620-95-1-0065 and NSF Grant DMS-9623137. † Research supported by NSF under ALCOM Grant 89-DMR20147.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

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Dynamics of filaments during the isotropic-smectic A phase transition

Abstract

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