๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Dynamics of pattern formation in magnetic fluids

โœ Scribed by Raymond E. Goldstein; David P. Jackson; Stephen A. Langer

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
701 KB
Volume
80
Category
Article
ISSN
0927-7757

No coin nor oath required. For personal study only.

โœฆ Synopsis

A model for the formation of labyrinthine patterns by thin domains of magnetic fluids is described. The dynamics is derived variationally from an energy functional which reflects a competition between surface tension and long-range magnetic interactions.

A detailed linear stability analysis for circular shapes reveals the mechanism of pattern formation and the characteristic mode of instability. Numerical study of the fully non-linear regime reveals branched patterns whose details are sensitively dependent on initial conditions, as in experiment. Connections with glassy systems and spin models are suggested.

๐Ÿ“œ SIMILAR VOLUMES

Convective Instability and Pattern Forma
Convective Instability and Pattern Formation in Magnetic Fluids
โœ Renu Bajaj; S.K. Malik ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

A nonlinear convective instability in a layer of magnetic fluid is investigated in the presence of an applied magnetic field and temperature gradient. The stability of steady state patterns resulting from the convective instability is discussed using bifurcation theory. Rolls are found to be stable

Pattern formation of electrodeposit of z
Pattern formation of electrodeposit of zinc in magnetic fields
โœ I. Mogi; M. Kamiko; S. Okubo; G. Kido ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 830 KB

The magnetic field effect on the morphology of electrodeposited zinc was investigated in a thin-layer ZnSO4 aqueous solution. The growth morphology drastically changed from DLA-like and dendritic patterns in 0T to a spiral pattern and an asymmetric dendrite in magnetic fields lower than 0.5 T, respe