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Updated: Dec 21, 2025
08:55
Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Renormalization of elastic quadrupoles in amorphous solids.
1Institut de Physique Théorique Philippe Meyer, École Normale Supérieure, PSL University, Sorbonne Universités, CNRS, 75005 Paris, France and Department of Physics, Ryerson University, Toronto, Canada M5B 2K3.
Physical Review. E
|May 20, 2020
Summary
Localized quadrupolar instabilities drive plasticity in amorphous solids. This study investigates yielding and melting transitions in a model of elastic continua with defects, revealing a spinodal-type transition.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Statistical Mechanics
Background:
- Plasticity in amorphous solids is linked to localized quadrupolar instabilities.
- The precise mechanisms of failure and melting in amorphous solids remain a subject of debate.
Purpose of the Study:
- To investigate yielding and melting phenomena in amorphous solids.
- To model these behaviors using an elastic continuum with quadrupolar defects at finite temperatures.
Main Methods:
- Analytical investigation of defect collective behavior.
- Application of renormalization group techniques.
- Utilizing field-theoretic methods.
Main Results:
- The model successfully captures phenomena related to amorphous solid failure.
- A yielding/melting transition of spinodal type was identified.
- The collective behavior of quadrupolar defects was analytically characterized.
Conclusions:
- The elastic continuum model with quadrupolar defects provides a viable framework for studying amorphous solid failure.
- The identified spinodal-type transition offers new insights into the mechanisms of yielding and melting.
- Further research can build upon these findings to explore complex material behaviors.
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