Curvature statistics of some few-body Debye-Huckel and Lennard-Jones systems
- 1 March 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (3) , 833-854
- https://doi.org/10.1088/0305-4470/13/3/017
Abstract
The motion of a conservative classical system is considered as a geodesic flow on a Riemannian manifold. Expressions for various curvature tensors are derived. It is shown that the Riemann tensor of a conservative system with N degrees of freedom is defined by 1/2N(N-1) curvatures cij(iijijij at a given point in configuration space are negative. Negative curvature turns out to be a rare phenomenon, although it is found in more than half of the configuration space of Lennard-Jones systems at low density and energy E=0.Keywords
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