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Nonlinear elasticity, yielding, and entropy in amorphous solids.

Deng Pan1, Teng Ji1,2, Matteo Baggioli3,4

  • 1CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.

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We explore nonlinear elasticity in amorphous solids using effective field and gravitational theories. Our findings reveal correlations between material properties and shear response, supported by granular matter simulations.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Gravitational Physics

Background:

  • Holographic duality connects diverse physics problems.
  • Emerging links between soft matter rheology and black hole physics.
  • Limited experimental validation for theoretical predictions in amorphous solids.

Purpose of the Study:

  • Investigate nonlinear elasticity effects on amorphous materials under shear.
  • Utilize effective field and gravitational theories for analysis.
  • Correlate theoretical predictions with simulation data.

Main Methods:

  • Applying effective field theories to model elasticity.
  • Employing gravitational theories to analyze amorphous solids.
  • Conducting simulations of granular matter models.

Main Results:

  • Identified correlations between nonlinear elastic exponent, yielding strain/stress, and entropy change.
  • Qualitatively supported theoretical predictions with granular matter simulations.
  • Demonstrated a unified framework for studying amorphous solid rheology.

Conclusions:

  • Nonlinear elasticity significantly impacts mechanical and thermodynamic properties of amorphous solids.
  • The study provides a theoretical and simulation-based approach to understand complex material responses.
  • This work unifies the study of solid-state rheology and black hole physics.