Investigation of the Lorentz gas in terms of periodic orbits.

  title={Investigation of the Lorentz gas in terms of periodic orbits.},
  author={Predrag Cvitanovi{\'c} and Pierre Gaspard and Thomas Schreiber},
  volume={2 1},
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. 

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