Related Experiment Videos
Dynamics of structural models with a long-range interaction: glassy versus nonglassy behavior
1Max-Planck-Institut fur Polymerforschung, Postfach 3148, D-55021 Mainz, Germany and Institute of Chemical Physics, Russian Academy of Science, 142432, Chernogolovka, Moscow region, Russia.
Summary
Investigating long-range interactions reveals that nondisordered systems lack glass transitions. However, disordered systems with long-range interactions exhibit behavior akin to spin glass models, impacting glass formation tendencies.
Area of Science:
- Statistical mechanics
- Condensed matter physics
Background:
- Glass formation is a complex phenomenon influenced by inter-particle interactions.
- Understanding the role of interaction range and disorder is crucial for predicting material properties.
Purpose of the Study:
- To systematically investigate the influence of long-range interactions on glass formation.
- To compare glass transition tendencies in nondisordered and disordered systems.
Main Methods:
- Utilizing Langevin dynamics and its generating functional (GF) formulation.
- Analyzing a nondisordered model with repulsive interactions.
- Analyzing a quenched disordered model with randomly distributed interaction strengths.
- Employing saddle-point treatment and 1/N expansion for the generating functional.
Main Results:
- The nondisordered model shows no glass transition, consistent with mean-field mode-coupling theory (MCT) predictions.
- The disordered model with long-range interactions yields equations characteristic of p-spin glass models.
- This suggests a connection between quenched disorder, long-range interactions, and spin glass physics.
Conclusions:
- Long-range interactions alone do not induce glass transitions in nondisordered systems.
- Quenched disorder in long-range interacting systems leads to complex behaviors relevant to spin glasses and disordered media.
- The study provides insights into the fundamental mechanisms governing glass formation in diverse physical systems.