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Updated: Jun 19, 2026
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Published on: April 25, 2019
Scaling theory for steady-state plastic flows in amorphous solids.
Edan Lerner1, Itamar Procaccia
1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Summary
Scaling concepts simplify the study of amorphous solids. This research shows that steady plastic flow in these materials can be universally described using scaled variables, simplifying complex dynamics.
Area of Science:
- Condensed matter physics
- Materials science
- Statistical mechanics
Background:
- Strongly correlated amorphous solids are glass formers with specific interparticle potential characteristics.
- Understanding their plastic flow is crucial for materials science and physics.
Purpose of the Study:
- To investigate the steady-state plastic flow of strongly correlated amorphous solids.
- To demonstrate the applicability of scaling concepts to these systems.
- To establish universal scaling functions and equations of state.
Main Methods:
- Studying systems in the athermal quasistatic limit.
- Analyzing systems at finite temperatures and strain rates.
- Utilizing scaling concepts to reduce data to universal functions.
Main Results:
- Demonstrated the effectiveness of scaling concepts in simplifying complex data.
- Identified universal scaling functions with a priori determined exponents.
- Showed that steady plastic flow at finite temperatures is characterized by two scaled variables, forming an equation of state.
Conclusions:
- Scaling theory provides a powerful framework for understanding amorphous solid plasticity.
- The steady-state flow exhibits a universal equation of state.
- Transient state descriptions require further investigation into additional state variables.
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