On the Metastability of the Mean-Field Interchange Model for Local Dimension at least 3
This research investigates metastability in mean-field interchange models for local dimensions $d ext{ at least } 3$. It found that a first-order static phase transition creates a dynamical phase diagram with two critical inverse temperatures, $eta_{ ext{min}}(d)$ and $eta=d$. In the interval $(eta_{ ext{min}}(d), d)$, the system exhibits exponentially vanishing spectral gaps, indicating metastability. This analysis uses symmetry decomposition to study the dynamics.