Phase space systems slow relaxation dynamics

MD simulations with a constant energy is nothing but Hamiltonian dynamics. Recent accumulation of MD simulations will certainly contribute to our further understanding of Hamiltonian systems, especially in higher dimensions. The purpose of this section is to sketch briefly how the slow relaxation process emerges in the Hamiltonian dynamics, and especially to show that transport properties of phase-space trajectories reflect various underlying invariant structures. 

In this chapter we have discussed the origin of slow relaxation observed MD simulations for liquids or supercooled liquids in the light of the theory of dynamical systems. We have introduced several established scenarios that explain anomalous transports and sticky motions in phase space, and then we examined... 

---