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

S. Flach·G. Mutschke
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Abstract

We study the one-dimensional discrete $Φ^4$ 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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S. Flach, G. Mutschke. 1994-03-14. Slow Relaxation and Phase Space Properties of a Conservative System with Many Degrees of Freedom. https://doi.org/10.1103/physreve.49.5018

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