Escape Rate — Kramers Theory

Kramers theory: overdamped particle in double well V(x) = x⁴/4 − x²/2 escapes thermally. Escape rate k = (ω₀ω_b)/(2πγ) · exp(−ΔV/kT). Watch Arrhenius: ln(k) ∝ −ΔV/T. Measure the empirical escape rate and compare to theory.

Temperature kT0.15
Friction γ1.0
N particles100
Barrier height ΔV1.0
Empirical k = — | Kramers k = — | ΔV/kT = —