Diffusion-limited aggregation and viscous fingering in a wedge: Evidence for a critical angle

D. Kessler; Z Olami; J Oz; I Procaccia; E Somfai; LM Sander

Diffusion-limited aggregation and viscous fingering in a wedge: Evidence for a critical angle

D. Kessler, Z Olami, J Oz, I Procaccia, E Somfai, LM Sander

Department of Physics

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

Abstract

We show that both analytic and numerical evidence points to the existence of a critical angle of η≈60°–70° in viscous fingers and diffusion-limited aggregates growing in a wedge. The significance of this angle is that it is the typical angular spread of a major finger. For wedges with an angle larger than 2η, two fingers can coexist. Thus a finger with this angular spread is a kind of building block for viscous fingering patterns and diffusion-limited aggregation clusters in radial geometry.

Original language	American English
Pages (from-to)	6913-6916
Journal	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Volume	57
Issue number	6
State	Published - 1998

Cite this

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title = "Diffusion-limited aggregation and viscous fingering in a wedge: Evidence for a critical angle",

abstract = "We show that both analytic and numerical evidence points to the existence of a critical angle of η≈60°–70° in viscous fingers and diffusion-limited aggregates growing in a wedge. The significance of this angle is that it is the typical angular spread of a major finger. For wedges with an angle larger than 2η, two fingers can coexist. Thus a finger with this angular spread is a kind of building block for viscous fingering patterns and diffusion-limited aggregation clusters in radial geometry.",

author = "D. Kessler and Z Olami and J Oz and I Procaccia and E Somfai and LM Sander",

year = "1998",

language = "American English",

volume = "57",

pages = "6913--6916",

journal = "Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)",

number = "6",

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TY - JOUR

T1 - Diffusion-limited aggregation and viscous fingering in a wedge: Evidence for a critical angle

AU - Kessler, D.

AU - Olami, Z

AU - Oz, J

AU - Procaccia, I

AU - Somfai, E

AU - Sander, LM

PY - 1998

Y1 - 1998

N2 - We show that both analytic and numerical evidence points to the existence of a critical angle of η≈60°–70° in viscous fingers and diffusion-limited aggregates growing in a wedge. The significance of this angle is that it is the typical angular spread of a major finger. For wedges with an angle larger than 2η, two fingers can coexist. Thus a finger with this angular spread is a kind of building block for viscous fingering patterns and diffusion-limited aggregation clusters in radial geometry.

AB - We show that both analytic and numerical evidence points to the existence of a critical angle of η≈60°–70° in viscous fingers and diffusion-limited aggregates growing in a wedge. The significance of this angle is that it is the typical angular spread of a major finger. For wedges with an angle larger than 2η, two fingers can coexist. Thus a finger with this angular spread is a kind of building block for viscous fingering patterns and diffusion-limited aggregation clusters in radial geometry.

M3 - Article

VL - 57

SP - 6913

EP - 6916

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

IS - 6

ER -

Diffusion-limited aggregation and viscous fingering in a wedge: Evidence for a critical angle

Abstract

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