- 07-124 A.Rapoport and Rom-Kedar, V.
- Chaotic scattering by steep potentials
May 21, 07
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Abstract. The singular billiard limit of smooth steep scattering potentials
is utilized as a skeleton for studying the properties of the
scattering problem; It is shown that for one class of chaotic
scatterers, named here regular Sinai scatterers, the scattering
properties of the smooth system limit to those of the billiard. On
the other hand, it is shown that for other chaotic scatterers,
that belong to the class of singular Sinai scatterers (scatterers
with singular bounded semi-orbits), the fractal dimension of the
scattering function of the smooth flow may be controlled, for
arbitrary steep potentials, by changing the ratio between the
steepness parameter and a parameter which controls the billiards'