title: Fractals and dynamical chaos in a two-dimensional Lorentz gas with sinks.
abstract: We consider a two-dimensional periodic reactive Lorentz gas, in which a moving point particle undergoes elastic collisions on fixed hard disks and annihilates on absorbing disks, called sinks. We present clear evidence of the existence of a fractal repeller in this open system. Moreover, we establish a relation between the reaction rate, describing the macroscopic evolution of the system, and two characteristic quantities of the microscopic chaos: the average Lyapunov exponent and the Hausdorff codimension of the fractal repeller.
authors: Center for Nonlinear Phenomena and Complex Systems, Faculté des Sciences, Université Libre de Bruxelles, Campus Plaine, Code Postal 231, B-1050 Brussels, Belgium.
authors: I
authors: I
authors: Claus
authors: P
authors: P
authors: Gaspard