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Updated: Feb 17, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Critical fluctuations of elastic moduli in jammed solids
Kumpei Shiraishi1, Hideyuki Mizuno2
1SANKEN, University of Osaka, 8-1 Mihogaoka, Ibaraki, Osaka 567-0047, Japan. kumpei.shiraishi@sanken.osaka-u.ac.jp.
None:
We investigate sample-to-sample fluctuations of the shear modulus in ensembles of particle packings near the jamming transition. Unlike the average modulus, which exhibits distinct scaling behaviours depending on the interparticle potential, the fluctuations obey a critical exponent that is independent of the potential. Furthermore, this scaling behaviour has been confirmed in two-dimensional packings, indicating that it holds regardless of spatial dimension. Using this scaling law, we discuss the relationship predicted by heterogeneous-elasticity theory between elastic-modulus fluctuations and the Rayleigh scattering of sound waves across different pressures. Our numerical results provide a useful foundation for developing a unified theoretical description of the jamming critical phenomenon.
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