Abstract
We calculate all four nonzero Lyapunov exponents for a three-dimensional, dilute, random Lorentz gas by combining dynamical systems and Boltzmann equation methods. In the presence of an external field and a Gaussian thermostat the Lyapunov exponents, calculated up to second order in the applied field, satisfy a conjugate pairing rule. Agreement of the results obtained here with those of computer simulations of Dellago and Posch [following Letter, Phys. Rev. Lett. 78, 211 (1997)].
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