Rigidity in Condensed Matter and its Origin in Configurational Constraint

Abstract

Motivated by the formal argument that a non-zero shear modulus is the result of averaging over a constrained configurations space, we demonstrate that the shear modulus calculated over a range of temperatures and averaging times can be expressed (relative to its infinite frequency value) as a single function of the mean squared displacement. This result is shown to hold for both a glass-liquid and a crystal-liquid system.

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Cited by in corpus (9)

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• Solid-that-flows picture of glass-forming liquids
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• Do thermodynamically stable rigid solids exist?
• Local stress analysis in Cu${}_{50\%}$Zr${}_{50\%}$ metallic glass under shear strain by means of first principle modeling
• Universal $L^{-3}$ finite-size effects in the viscoelasticity of confined amorphous systems
• Non-Affine Displacements and the Non-Linear Response of a Strained Amorphous Solid
• From Liquid Structure to Configurational Entropy: Introducing Structural Covariance
• Probing the Local Response of Glass-forming Liquids by Laser Excitations