# Numerical computations on a stochastic parameter related to the Kolmogorov entropy

@article{Casartelli1976NumericalCO, title={Numerical computations on a stochastic parameter related to the Kolmogorov entropy}, author={M. Casartelli and E. Diana and L. Galgani and A. Scotti}, journal={Physical Review A}, year={1976}, volume={13}, pages={1921-1925} }

A stochastic parameter which appears to be related to the Kolmogorov entropy is computed for a system of $N$ particles in a line with the nearest-neighbor Lennard-Jones interaction. It is found that the parameter depends on the initial conditions, and is equal to zero or to a positive value which depends on the specific energy $u$. A limit seems to exist for the parameter at fixed $u$ when $N\ensuremath{\rightarrow}\ensuremath{\infty}$, as shown by computations from $N=10 \mathrm{to} 200$.