Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-09-07
Phys. Rev. E 65, 036209-1--11 (2002)
Nonlinear Sciences
Chaotic Dynamics
18 pages (revtex), 7 figures (postscript)
Scientific paper
10.1103/PhysRevE.65.036209
In recent work a deterministic and time-reversible boundary thermostat called thermostating by deterministic scattering has been introduced for the periodic Lorentz gas [Phys. Rev. Lett. {\bf 84}, 4268 (2000)]. Here we assess the nonlinear properties of this new 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.
Klages Rainer
Rateitschak Katja
No associations
LandOfFree
Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-107084