Trap Model & Random Energy Landscape

Bouchaud's trap model of glassy dynamics: a particle hops between random energy traps. Waiting time τ ∝ exp(E/T). Below the glass temperature T_g, mean waiting times diverge — aging and non-ergodic behavior emerge.

Parameters

Glass temperature T_g = E₀
Above T_g: ergodic diffusion
Below T_g: aging, non-ergodicity