Lyapunov spectra and conjugate-pairing rule for confined atomic fluids

On the Validity of the Conjugate Pairing Rule for Lyapunov Exponents

For Hamiltonian systems subject to an external potential which in the presence of a thermostat will reach a nonequilibrium stationary state Dettmann and Morriss proved a strong conjugate pairing rule (SCPR) for pairs of Lyapunov exponents in the case of isokinetic ( I K ) stationary states which have a given kinetic energy. This SCPR holds for all initial phases of the system, all times t, and ...

Planar mixed flow and chaos: Lyapunov exponents and the conjugate-pairing rule.

In this work we characterize the chaotic properties of atomic fluids subjected to planar mixed flow, which is a linear combination of planar shear and elongational flows, in a constant temperature thermodynamic ensemble. With the use of a recently developed nonequilibrium molecular dynamics algorithm, compatible and reproducible periodic boundary conditions are realized so that Lyapunov spectra...

Institute for Mathematical Physics Lyapunov Spectrum and the Conjugate Pairing Rule for a Thermostated Random Lorentz Gas: Kinetic Theory

Chaotic properties of planar elongational flow and planar shear flow: Lyapunov exponents, conjugate-pairing rule, and phase space contraction.

The simulation of planar elongational flow in a nonequilibrium steady state for arbitrarily long times has recently been made possible, combining the SLLOD algorithm with periodic boundary conditions for the simulation box. We address the fundamental questions regarding the chaotic behavior of this type of flow, comparing its chaotic properties with those of the well-established SLLOD algorithm...

Configurational temperature profile in confined fluids. I. Atomic fluid