Chaotic properties of dilute two- and three-dimensional random Lorentz gases: Equilibrium systems
Chaotic properties of dilute two- and three-dimensional random Lorentz gases: Equilibrium systems
We compute the Lyapunov spectrum and the Kolmogorov-Sinai entropy for a moving particle placed in a dilute, random array of hard-disk or hard-sphere scatterers, i.e., the dilute Lorentz gas model. This is carried out in two ways. First we use simple kinetic theory arguments to compute the Lyapunov spectrum for …