Stochastic Resonance — Kramers Escape Rate
Double-well potential U(x) = -ax²/2 + bx⁴/4 driven by periodic force + noise
Potential & Particle
Output Signal & SNR
Parameters
Noise σ:
0.30
Drive A:
0.20
Drive freq ω:
0.10
Well depth a:
1.00
Reset Simulation
Kramers rate r_K ≈
—
Current well:
—
Switches:
0
SNR:
—
dB
Stochastic resonance: SNR peaks at an optimal noise level. Kramers rate r_K = (ω_a·ω_b)/(2πγ)·exp(−ΔU/D) where D=σ²/2.
SNR vs Noise (sweep)