Stochastic Resonance

Noise can enhance weak signal detection in a bistable double-well

Noise D: 0.10

Signal A: 0.30

Freq ω: 0.10

V(x) = -x²/2 + x⁴/4 (double-well). Particle driven by subthreshold sinusoidal force + Gaussian noise. SNR peaks at optimal noise D* — the stochastic resonance effect. Kramers rate r_K = (1/2π)exp(-ΔV/D).