Kramers Escape Rate

Overdamped Langevin in a double-well V(x) = x⁴ − 2x². Thermal fluctuations drive escape. Kramers rate: k = (ω₀ ω_b)/(2πγ) exp(−ΔV/kT).

ẋ = −V'(x)/γ + √(2kT/γ) ξ(t)

Temperature kT: 0.20 Damping γ: 1.00 Asymmetry ε: 0.00 Particles: 50

Left well: -
Right well: -
Escape rate (meas.): -
Kramers rate: -
ΔV_barrier: 0.50