Double-Well Potential & Particle
Position Trajectory x(t)
Escape Time Distribution
r = (ω₀ω_b/2πγ)·exp(-ΔU/k_BT)
Simulation
Parameters
Time:
0.00
Position:
-1.00
Well:
Left
Escapes:
0
Kramers Theory
—
Simulated Rate
—
Kramers (1940): The escape rate depends exponentially on
the ratio ΔU/k_BT. At low temperature, escapes are rare; at high temperature,
frequent. The friction γ determines the optimal escape regime.