Lyapunov Modes for a Nonequilibrium System with a Heat Flux

Abstract

We present the first numerical observation of Lyapunov modes (mode structure of Lyapunov vectors) in a system maintained in a nonequilibrium steady state. The modes show some similarities and some differences when compared with the results for equilibrium systems. The breaking of energy conservation removes a zero exponent and introduces a new mode. The transverse modes are only weakly altered but there are systematic changes to the longitudinal and momentum dependent modes.

9 pages, 7 figures

References in corpus (3)

• Localized behavior in the Lyapunov vectors for quasi-one-dimensional many-hard-disk systems
• Time-oscillating Lyapunov modes and auto-correlation functions for quasi-one-dimensional systems
• Time-dependent mode structure for Lyapunov vectors as a collective movement in quasi-one-dimensional systems

Cited by in corpus (1)

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