Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering.
In recent work a deterministic and time-reversible boundary thermostat called thermostating by deterministic scattering was introduced for the periodic Lorentz gas [Phys. Rev. Lett. 84, 4268 (2000)]. Here we assess the nonlinear properties of this dynamical system by numerically calculating its Lyapunov exponents. Based on a revised method for computing Lyapunov exponents, which employs periodic orthonormalization with a constraint, we present results for the Lyapunov exponents and related quantities in equilibrium and nonequilibrium. Finally, we check whether we obtain the same relations between quantities characterizing the microscopic chaotic dynamics and quantities characterizing macroscopic transport as obtained for conventional deterministic and time-reversible bulk thermostats.
Rateitschak
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Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine CP 231, Boulevard du Triomphe, B-1050 Brussels, Belgium. katja.rateitschak@molgemn.mpg.de
Klages
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