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Scale Separation of Shear-Induced Criticality in Glasses
Norihiro Oyama1, Takeshi Kawasaki2, Kang Kim3
1Toyota Central R&D Labs., Inc., Nagakute 480-1192, Japan.
Physical Review Letters
|April 19, 2024
Summary
Glasses in a sheared steady state exhibit yielding criticality. This critical phenomenon
Area of Science:
- Soft matter physics
- Materials science
- Non-equilibrium statistical mechanics
Background:
- Glasses under shear stress reach a state of nonequilibrium criticality known as yielding criticality.
- Understanding the universal behaviors and system-specific details of this critical state is crucial.
Purpose of the Study:
- To investigate the dependence of yielding criticality on system details.
- To explore the emergence of different critical correlation lengths for responses and fluctuations.
- To elucidate the role of screening effects in mechanical signal propagation.
Main Methods:
- Analysis of glasses in a sheared steady state.
- Theoretical investigation of critical phenomena and correlation lengths.
- Examination of elastic signal propagation and screening effects.
Main Results:
- The nature of yielding criticality is system-dependent.
- Scale separation of critical lengths for responses and fluctuations occurs when elastic signal screening is significant.
- Microscopic dissipation mechanisms determine the impact of screening effects.
Conclusions:
- Yielding criticality in glasses is not universally characterized.
- Screening of mechanical signals leads to distinct length scales governing different aspects of the critical behavior.
- The interplay between dissipation and screening dictates the macroscopic response of glasses near criticality.
