Effect of Poisson ratio on cellular structure formation

Details Effect of Poisson ratio on cellular structure formation Effect of Poisson ratio on cellular structure formation

2005-04-05

arxiv.org/abs/cond-mat/0504097v1

Phys. Rev. Lett. 95: 068102 (2005)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, Revtex, 4 Postscript figures included

Scientific paper

10.1103/PhysRevLett.95.068102

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.

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