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Journal Article

Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering

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Klages,  R.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Rateitschak, K., & Klages, R. (2002). Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering. Physical Review E, 65(3): 036209. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000065000003036209000001&idtype=cvips&gifs=yes.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-37F8-3
Abstract
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.