Effect of poisson ratio on cellular structure formation
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 geom...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
5 Apr 2005
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| In: |
Arxiv
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| Online Access: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/cond-mat/0504097
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| Author Notes: | I.B. Bischofs and U.S. Schwarz |
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| 520 | |a 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. | ||
| 650 | 4 | |a Condensed Matter - Soft Condensed Matter | |
| 650 | 4 | |a Condensed Matter - Materials Science | |
| 650 | 4 | |a Quantitative Biology - Cell Behavior | |
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