Glassy dynamics in the asymmetrically constrained kinetic Ising chain

Area of Science:

• Statistical physics
• Condensed matter physics

Background:

• The East model exhibits glassy dynamics at low temperatures due to kinetic constraints.
• Understanding these dynamics is crucial for complex systems.

Purpose of the Study:

• To analyze the nonequilibrium and equilibrium dynamics of the East model.
• To elucidate the scaling behavior of domain coarsening and equilibration times.

Main Methods:

• Analysis of nonequilibrium coarsening dynamics.
• Development of a scaling hypothesis for equilibrium dynamics.
• Modeling of superdomain dynamics.

Main Results:

• Identified anomalous coarsening of down-spin domains (d ~ t^(T ln 2)).
• Observed fragile glass divergence in equilibration times (t* ~ exp(1/T^2 ln 2)).
• Deduced identical scaling behavior for spin correlation and persistence functions.

Conclusions:

• The East model displays unique glassy dynamics and scaling behaviors at low temperatures.
• Equilibrium and nonequilibrium dynamics share common scaling features.
• Superdomain dynamics govern equilibrium spin correlations and persistence.