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Anomalous linear elasticity of disordered networks.
Edan Lerner1, Eran Bouchbinder2
1Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Amsterdam 1098 XH, The Netherlands. e.lerner@uva.nl.
Soft Matter
|January 20, 2023
Summary
Disordered elastic networks near rigidity transitions exhibit anomalous long-range elasticity. This non-affine behavior, observed in biopolymer networks, differs from continuum elasticity and impacts material properties.
Area of Science:
- Physics
- Materials Science
- Biophysics
Background:
- Continuum elasticity is widely applied but its limitations in disordered systems are unclear.
- Material disorder can cause continuum elasticity to break down at specific scales.
- Understanding these breakdown mechanisms is crucial for various physical and biological systems.
Purpose of the Study:
- To investigate the impact of material disorder on continuum elasticity.
- To identify the conditions under which continuum elasticity fails.
- To characterize the anomalous elastic response in disordered networks near critical transitions.
Main Methods:
- Theoretical developments in elasticity theory.
- Extensive numerical computations and simulations.
- Analysis of disordered elastic networks, particularly fibrous biopolymer networks.
Main Results:
- Disordered elastic networks near rigidity transitions show anomalous long-range linear elastic response below a correlation length.
- This emergent elasticity is non-affine and exhibits a different multipole expansion structure than continuum elasticity.
- Perturbations decay spatially slower in these anomalous elastic systems.
Conclusions:
- Material disorder can lead to emergent anomalous elasticity in systems like biopolymer networks.
- This phenomenon deviates from standard continuum elasticity predictions.
- Findings have implications for understanding cell-cell communication via extracellular matrices and suggest potential universality.
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