Effect of poisson ratio on cellular structure formation

Bischofs, I. B.; Schwarz, US

doi:10.1103/PhysRevLett.95.068102

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Effect of poisson ratio on cellular structure formation

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Bischofs, I. B.
Center for Molecular Biology (ZMBH) and Center for the Quantitative Analysis of Molecular and Cellular Biosystems (BioQuant), University of Heidelberg, Germany;
Theorie & Bio-Systeme, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Citation

Bischofs, I. B., & Schwarz, U. (2005). Effect of poisson ratio on cellular structure formation. PHYSICAL REVIEW LETTERS, 95(6): 068102. doi:10.1103/PhysRevLett.95.068102.

Cite as: https://hdl.handle.net/21.11116/0000-000C-91D4-0

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 antiferroelastic phases as a function of the Poisson ratio.