Bi-Laplacian Growth Patterns in Disordered Media

Details Bi-Laplacian Growth Patterns in Disordered Media Bi-Laplacian Growth Patterns in Disordered Media

2002-08-21

arxiv.org/abs/cond-mat/0208403v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to PRL. For further information see http://www.weizmann.ac.il/chemphys/anders

Scientific paper

10.1103/PhysRevLett.89.234501

Experiments in quasi 2-dimensional geometry (Hele Shaw cells) in which a fluid is injected into a visco-elastic 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 pre-requisite 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.

Affiliated with

Also associated with

No associations

Rating

Bi-Laplacian Growth Patterns in Disordered Media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bi-Laplacian Growth Patterns in Disordered Media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bi-Laplacian Growth Patterns in Disordered Media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220598