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Updated: Apr 29, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Correlations of plasticity in sheared glasses
Fathollah Varnik1, Suvendu Mandal2, Vijaykumar Chikkadi3
1Max-Planck Institut für Eisenforschung, Max-Planck Straße 1, 40237 Düsseldorf, Germany and Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstraße 150, 44780 Bochum, Germany.
Discrepancies in spatial correlations of plasticity between experiments and simulations of hard-sphere glasses are resolved by considering system size effects. Two-dimensional simulations confirm power-law correlations in amorphous solids, deviating only under specific conditions.
Area of Science:
- Physics
- Materials Science
- Computational Science
Background:
- Spatial correlations of plasticity in hard-sphere glasses show discrepancies between experimental power-law and simulation exponential decay.
- Previous studies by Mandal et al. and Durian highlighted these differing correlation behaviors.
Purpose of the Study:
- To resolve the discrepancy in spatial correlation decay observed between experimental and simulation data for hard-sphere glasses.
- To investigate the robustness of power-law decay in sheared amorphous solids using a two-dimensional soft disk model.
Main Methods:
- Performed computer simulations of a hard-sphere glass in two dimensions (2D).
- Extended simulations to a 2D soft disk model at zero temperature.
- Analyzed spatial correlations of plasticity under varying conditions (packing fraction, dissipation mechanism).
Main Results:
- Direct evidence provided that finite system size in 3D simulations caused the discrepancy.
- Confirmed power-law decay for correlations in 2D simulations of hard-sphere glasses.
- Demonstrated deviations from power law occur when reducing packing fraction or altering dissipation mechanisms.
Conclusions:
- Finite system size is a critical factor explaining the divergence between experimental and simulation results for plasticity correlations.
- Power-law decay is a robust feature of sheared amorphous solids, with deviations linked to specific physical parameters.
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