Formation of interfacial patterns in aggregation and viscous flows

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Computer simulations and experiments on viscous fingering are used to investigate the effects of fluctuations, driving force and anisotropy on the growth of two dimensional unstable interfaces. It is demonstrated that variations of the diffusion-limited aggregation model capture many of the most important features of Laplacian pattern formation. In the viscous fingering experiments carried out in a radial Hele-Shaw cell with nematic or smectic liquid crystals a number of unexpected morphological phase transitions can be observed including crossovers from tip splitting to dendritic growth and from fractal to homogeneous structures. The investigations reviewed here suggest that the role of noise, driving force and anisotropy is crucial in the formation of patterns and it is the complex interplay of these factors which produces the great variety of morphologies found in nature.

Original languageEnglish
Pages (from-to)334-343
Number of pages10
JournalPhysica Scripta
Volume1987
Issue numberT19B
DOIs
Publication statusPublished - Jan 1 1987

Fingerprint

viscous flow
Viscous Flow
Driving Force
Anisotropy
Aggregation
Dendritic Growth
Homogeneous Structure
Diffusion-limited Aggregation
Hele-Shaw
anisotropy
Computer Experiments
Pattern Formation
Liquid Crystal
Crossover
Fractal
fractals
crossovers
Phase Transition
Computer Simulation
computerized simulation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Formation of interfacial patterns in aggregation and viscous flows. / Vicsek, T.

In: Physica Scripta, Vol. 1987, No. T19B, 01.01.1987, p. 334-343.

Research output: Contribution to journalArticle

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