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Updated: Apr 24, 2026
09:32
Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
Published on: January 26, 2016
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Percolation approach to glassy dynamics with continuously broken ergodicity.
Jeferson J Arenzon1, Antonio Coniglio2, Annalisa Fierro2
1Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 13, 2014
Summary
We reveal a geometric interpretation of glass transition dynamics using percolation theory. This approach aligns with mode-coupling theory (MCT), disentangling universal and nonuniversal contributions to relaxation exponents.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Theoretical Physics
Background:
- Glass transition dynamics involve complex relaxation processes.
- Mode-coupling theory (MCT) describes liquid-glass transitions but has limitations in disentangling universal and nonuniversal contributions.
Purpose of the Study:
- To provide a geometric interpretation of relaxation dynamics near a glass transition.
- To reconcile mode-coupling theory (MCT) with percolation theory.
- To disentangle universal and nonuniversal contributions to MCT relaxation exponents.
Main Methods:
- Geometric interpretation based on percolation theory.
- Mean-field analysis consistent with MCT.
- Testing scaling predictions using the F(12) schematic model and facilitated spin systems on a Bethe lattice.
Main Results:
- Demonstrated a geometric interpretation for relaxation dynamics during continuous ergodicity breaking.
- Showed consistency with MCT for type-A liquid-glass transitions.
- Successfully tested scaling predictions for time correlation functions.
- Extended MCT scaling laws to finite dimensions, predicting dynamic relaxation exponents below d=6.
Conclusions:
- Percolation theory offers a powerful geometric framework for understanding glass transition dynamics.
- The approach successfully disentangles universal and nonuniversal aspects of MCT.
- Predictions for dynamic relaxation exponents in finite dimensions are established.
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