Effect of Poisson ratio on cellular structure formation
Soft Condensed Matter
2007-05-23 v1 Materials Science
Cell Behavior
Abstract
Mechanically active cells in soft media act as force dipoles. The resulting elastic interactions are long-ranged and favor the formation of strings. We show analytically that due to screening, the effective interaction between strings decays exponentially, with a decay length determined only by geometry. Both for disordered and ordered arrangements of cells, we predict novel phase transitions from paraelastic to ferroelastic and anti-ferroelastic phases as a function of Poisson ratio.
Cite
@article{arxiv.cond-mat/0504097,
title = {Effect of Poisson ratio on cellular structure formation},
author = {Ilka B. Bischofs and Ulrich S. Schwarz},
journal= {arXiv preprint arXiv:cond-mat/0504097},
year = {2007}
}
Comments
4 pages, Revtex, 4 Postscript figures included