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Critical dynamical heterogeneities close to continuous second-order glass transitions
Saroj Kumar Nandi1, Giulio Biroli1, Jean-Philippe Bouchaud2
1Institut de Physique Théorique, CEA/DSM/IPhT-CNRS/URA 2306 CEA-Saclay, F-91191 Gif-sur-Yvette, France.
We analyzed critical scaling behavior near glass transitions. The dynamical correlation length grows with ε(-1/3) and logarithmically with time at criticality, suggesting analogies with the random field Ising model.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Glass transitions are crucial phenomena in condensed matter.
- Understanding critical scaling behavior near these transitions is key.
Purpose of the Study:
- To analyze the critical scaling of dynamical susceptibility near continuous second-order glass transitions.
- To investigate the behavior of the dynamical correlation length.
Main Methods:
- Inhomogeneous mode-coupling theory was employed for analysis.
- The study focused on critical scaling behavior at a distance ε from the transition.
Main Results:
- The dynamical correlation length (ξ) scales as ε(-1/3).
- The upper critical dimension was found to be six.
- Critically, ξ was observed to grow logarithmically with time (ln²t).
Conclusions:
- The findings suggest a strong analogy between glassy systems (colloids, supercooled liquids) and the random field Ising model.
- The observed scaling laws provide new insights into the dynamics of glass transitions.
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