Slow Relaxation and Phase Space Properties of a Conservative System with Many Degrees of Freedom

Details Slow Relaxation and Phase Space Properties of a Conservative System with Many Degrees of Freedom Slow Relaxation and Phase Space Properties of a Conservative System with Many Degrees of Freedom

1994-03-14

arxiv.org/abs/cond-mat/9403052v1

Physics

Condensed Matter

14 pages, LaTeX, 10 Figures available upon request (SF), Phys. Rev. E, accepted for publication

Scientific paper

10.1103/PhysRevE.49.5018

We study the one-dimensional discrete $\Phi^4$ model. We compare two equilibrium properties by use of molecular dynamics simulations: the Lyapunov spectrum and the time dependence of local correlation functions. Both properties imply the existence of a dynamical crossover of the system at the same temperature. This correlation holds for two rather different regimes of the system - the displacive and intermediate coupling regimes. Our results imply a deep connection between slowing down of relaxations and phase space properties of complex systems.

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