Chaotic diffusion simulation

Does deterministic chaos produce diffusion — does momentum in the kicked rotor's chaotic sea random-walk?

▶ Run the simulationSee the measured result

Units: (momentum)²/step — Rechester–White D_RW(K=20) = (K²/4)·[1 − 2J₂(20)(1 − J₂(20))], J₂(20) = −0.16034135; 37.2% above quasilinear

How the lab tests it

Start an ensemble of orbits at p=0, watch the momentum spread, and measure the diffusion coefficient D = ⟨Δp²⟩/2n across the kick strength K.

What it checks

the quasilinear estimate D = K²/4 (independent kicks: ⟨(K·sinθ)²⟩ = K²/2 per step)