Bi-Laplacian growth patterns in disordered media

被引：10

作者：

Levermann, A ^{[1
]}

Procaccia, I ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.89.234501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Experiments in quasi-two-dimensional geometry (Hele-Shaw cells) in which a fluid is injected into a viscoelastic medium (foam, clay, or associating polymers) show patterns akin to fracture in brittle materials, very different from standard Laplacian growth patterns of viscous fingering. An analytic theory is lacking since a prerequisite to describing the fracture of elastic material is the solution of the bi-Laplace rather than the Laplace equation. In this Letter we close this gap, offering a theory of bi-Laplacian growth patterns based on the method of iterated conformal maps.

引用

页数：4

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