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

Abstract

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.

arXiv comment14 pages, LaTeX, 10 Figures available upon request (SF), Phys. Rev. E, accepted for publication

Cited by in corpus (13)

• Discrete Breathers
• q-Breathers in Fermi-Pasta-Ulam chains: existence, localization and stability
• Discrete breathers in protein structures
• Long-range energy transfer in proteins
• Discrete breathers in thermal equilibrium: distributions and energy gaps
• Slow energy relaxation and localization in 1D lattices
• Curvature fluctuations and Lyapunov exponent at Melting
• Slow Relaxation at Critical Point of Second Order Phase Transition in a Highly Chaotic Hamiltonian System
• Nonstationary heat conduction in one-dimensional models with substrate potential
• Stringlet Excitation Model of the Boson Peak
• Heat wave propagation in a nonlinear chain
• New Universality of Lyapunov Spectra in Hamiltonian Systems
• Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes