Deterministic Chaos in Sinaļ Billiard (3)
For more details, see the slides.
• Observation:
the evolution of N=10000 independent balls in the Sinai billiard. They
have very similar initial conditions (differ at Dy=0,0001). We
observe that they diffuse in the lattice in a predictible way.
Questions: describe the convergence to equilibrium and fluctuations
around it? Explain the limiting Gaussian diffusion? How to express and
prove this?
![im3](3_Animation_10e4_billes_diffusion.gif)