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Vibrational spectrum of topologically disordered systems.
T S Grigera1, V Martín-Mayor, G Parisi
1Dipartimento di Fisica, Università di Roma "La Sapienza," Piazzale Aldo Moro 2, 00185 Roma, Italy.
Physical Review Letters
|August 11, 2001
Summary
The topological disorder in glasses and supercooled liquids impacts their high-frequency dynamics. Our study analytically models this disorder, yielding accurate predictions for real systems.
Area of Science:
- Condensed matter physics
- Materials science
- Statistical mechanics
Background:
- The dynamics of glasses and supercooled liquids are significantly influenced by their topological disorder.
- Understanding these dynamics is crucial for predicting material properties at high frequencies.
Purpose of the Study:
- To analytically investigate the main features of high-frequency dynamics in topologically disordered systems.
- To develop a model that accurately describes the behavior of glasses and supercooled liquids.
Main Methods:
- Studied a simplified model of topological disorder with particles oscillating around random centers.
- Employed a generic pair potential for particle interactions.
- Performed a resummation of the perturbative expansion in inverse particle density.
Main Results:
- Derived accurate results for the dynamic structure factor.
- Obtained precise predictions for the density of states.
- The model provides accurate results for densities relevant to real-world materials.
Conclusions:
- The topological nature of disorder is a key determinant of high-frequency dynamics in glasses and supercooled liquids.
- The analytical model developed offers a reliable method for studying these complex systems.
- The findings are applicable to the density ranges observed in actual materials.