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Updated: Jul 31, 2026
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Glasslike dynamical behavior in hierarchical models submitted to continuous cooling and heating processes
1Física Teórica, Facultad de Física, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
Summary
This study investigates hierarchically constrained models, revealing a glass transition phenomenon during cooling and explaining glassy hysteresis during heating. The findings offer insights into the behavior of structural glasses under varying temperatures.
Area of Science:
- Condensed matter physics
- Materials science
- Statistical mechanics
Background:
- Structural glasses exhibit complex dynamical behaviors.
- Understanding glass transition and hysteresis is crucial in materials science.
- Hierarchically constrained models offer a framework to study these phenomena.
Purpose of the Study:
- To investigate the dynamical behavior of models with hierarchically constrained dynamics.
- To analyze time-dependent temperature processes, including cooling and heating.
- To understand phenomena analogous to glass transition and glassy hysteresis.
Main Methods:
- Analytical evaluation of residual properties during cooling.
- Analysis of evolution equations and the concept of a normal solution.
- Study of systems under arbitrary, far-from-equilibrium conditions.
Main Results:
- A phenomenon analogous to laboratory glass transition observed during cooling.
- Analytical evaluation of residual properties and physical basis for fictive temperature.
- Glassy hysteresis explained by the system approaching a normal solution during heating.
Conclusions:
- The investigated models exhibit properties similar to real structural glasses.
- The concept of fictive temperature is physically grounded.
- A universal normal solution governs system evolution, explaining glassy hysteresis even far from equilibrium.
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