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Oriented Active Solids.

Ananyo Maitra1, Sriram Ramaswamy2

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Summary
This summary is machine-generated.

We analyzed active solids, revealing a unique response to shear and conditions for stable structures. Our findings uncover instabilities in active solids under specific forcing conditions.

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Area of Science:

  • Physics of active matter
  • Condensed matter physics
  • Soft matter physics

Background:

  • Active solids exhibit unique dynamic behaviors driven by internal stresses.
  • Understanding orientational order is crucial for predicting solid properties.
  • Rotation invariance effects on active solids are not fully explored.

Purpose of the Study:

  • To conduct a comprehensive analysis of linearized dynamics in active solids with uniaxial orientational order.
  • To investigate the impact of rotation invariance on active solid behavior.
  • To predict the stability and response of these materials under various conditions.

Main Methods:

  • Linearized dynamics analysis
  • Inclusion of rotation invariance consequences
  • Mathematical modeling of active solids

Main Results:

  • Predicted a purely active response to shear in 2D orientationally ordered solids.
  • Identified conditions for stable active solids with quasi-long-range order (2D) and long-range order (3D).
  • Revealed generic instability for one sign of active forcing and instability in momentum-conserved systems for large forcing.

Conclusions:

  • Rotation invariance significantly impacts active solid dynamics.
  • Active solids can exhibit stable ordered phases under specific conditions.
  • Instabilities arise in active solids depending on forcing sign and system dimensionality.