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What is Lyapunov Spectra in Periodic Systems about?

This document summarizes a study on the Lyapunov spectra of one-dimensional periodic systems with Coulombic and gravitational interactions. The study computes the full Lyapunov spectra for these systems using an exact numerical method. It finds that the energy dependence of the largest Lyapunov exponent mimics that of the Kolmogorov-Sinai entropy, indicating it can serve as a precursor for phase transitions as system size increases.

Author

Manuel Rodrigues

Language

EN