Disordered System — Random Energy Landscape

Glassy dynamics · Metastable traps · Aging · Derrida's random energy model

Temperature T1.00
Disorder σ1.5
Num traps N80
Walk dimension2
Derrida's Random Energy Model (1981): N energy levels drawn iid from Gaussian N(0,σ²). Glass transition at Tc=σ/(2√ln2). Below Tc: system freezes in lowest energy trap. Trap model (Bouchaud 1992): escape time τ∝exp(E/T) → activated dynamics, aging, anomalous diffusion.