Abstract
The average value R of the Riemann scalar R over the configuration space is defined for conservative systems in classical mechanics. Positive R is associated with integrability, negative R with ergodicity, mixing, etc. The average is calculated for a number of model systems. Oscillator systems and 8-particle Lennard-Jones systems are characterised by R>0. For low densities this also applies to 8- and 27-particle Debye-Huckel systems. For high densities and small energies the calculations suggest that R<0 everywhere on the accessible part of configuration space. In a larger part of the density, energy plane R<0.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
