Lyapunov Modes for a Nonequilibrium System with a Heat Flux
arXiv:nlin/0611045 · doi:10.1016/j.crhy.2007.05.006
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.
arXiv comment9 pages, 7 figures
References in corpus (11)
- Goldstone modes in Lyapunov spectra of hard sphere systems
- Lyapunov instabilities of Lennard-Jones fluids
- Boundary effects in the stepwise structure of the Lyapunov spectra for quasi-one-dimensional systems
- Lyapunov Modes in Hard-Disk Systems
- Stepwise structure of Lyapunov spectra for many particle systems by a random matrix dynamics
- 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
- Lyapunov spectra of periodic orbits for a many-particle system
- Time-dependent mode structure for Lyapunov vectors as a collective movement in quasi-one-dimensional systems
- Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems
- Hopping dynamics for localized Lyapunov vectors in many-hard-disk systems
Cited by in corpus (3)
- Computing covariant vectors, Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study
- Dissipation and Entropy Production in Deterministic Heat Conduction of Quasi-one-dimensional Systems
- Backward and covariant Lyapunov vectors and exponents for hard disk systems with a steady heat current