title: Investigation of the Lorentz gas in terms of periodic orbits.
abstract: The diffusion constant and the Lyapunov exponent for the spatially periodic Lorentz gas are evaluated numerically in terms of periodic orbits. A symbolic description of the dynamics reduced to a fundamental domain is used to generate the shortest periodic orbits. Applied to a dilute Lorentz gas with finite horizon, the theory works well, but for the dense Lorentz gas the convergence is hampered by the strong pruning of the admissible orbits.
authors.affiliation: Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen 0, Denmark.
authors.forename: Predrag
authors.initials: P
authors.lastname: Cvitanovic
authors.forename: Pierre
authors.initials: P
authors.lastname: Gaspard
authors.forename: Thomas
authors.initials: T
authors.lastname: Schreiber