Noise-Induced Transitions

Noise strength D D = 0.20

Barrier height ΔV ΔV = 0.30

Potential asymmetry ε = 0.00

Current x—

Well (+)—

Well (−)—

Transitions—

Kramers rate—

SDE: dx = −V′(x)dt + √(2D)dW. Kramers rate: k ≈ (ω₀ω_b/2π)e^(−ΔV/D). Low D: particle trapped. High D: frequent transitions. Asymmetry biases occupation. Noise-induced transitions can create qualitatively new stable states.

NOISE-INDUCED TRANSITIONS