Subdiffusion and dynamical heterogeneities in a lattice glass model.

Area of Science:

• Statistical Mechanics
• Condensed Matter Physics
• Computational Physics

Background:

• Kinetically constrained models are crucial for understanding glassy dynamics.
• Lattice glass models simplify complex systems to study fundamental properties.
• Understanding density redistribution and interaction effects is key in statistical physics.

Purpose of the Study:

• To investigate a kinetically constrained lattice glass model with density redistribution and interaction biases.
• To compute the exact steady-state distribution in any spatial dimension.
• To characterize dynamical heterogeneities and the nature of mobile region dynamics.

Main Methods:

• Exact computation of the steady-state distribution.
• Analysis of dynamical heterogeneities using a diverging length scale.
• Modeling glassy dynamics as a reaction-diffusion process for mobile regions.

Main Results:

• The steady-state distribution is exactly computable in any dimension.
• A length scale characterizing dynamical heterogeneities diverges at critical density.
• Mobile regions exhibit subdiffusive motion due to a self-induced trapping mechanism.

Conclusions:

• The studied lattice glass model provides insights into glassy dynamics.
• Dynamical heterogeneities and subdiffusive motion are key features of this model.
• The reaction-diffusion framework effectively describes the behavior of mobile regions.