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Backward and covariant Lyapunov vectors and exponents for hard-disk systems with a steady heat current

Backward and covariant Lyapunov vectors and exponents for hard-disk systems with a steady heat current

The covariant Lyapunov analysis is generalized to systems attached to deterministic thermal reservoirs that create a heat current across the system and perturb it away from equilibrium. The change in the Lyapunov exponents as a function of heat current is described and explained. Both the nonequilibrium backward and covariant hydrodynamic …