On time and ensemble averages in quasistationary state of low-dimensional Hamiltonian maps

TL;DR

This paper explores the relationship between ensemble and time averages in quasistationary states of low-dimensional Hamiltonian maps, highlighting similarities with long-range-interacting Hamiltonian systems.

Contribution

It provides new insights into the statistical properties of quasistationary states in low-dimensional symplectic maps, drawing parallels with many-body Hamiltonian systems.

Findings

Ensemble and time averages show remarkable similarities in quasistationary states.

Quasistationary states in low-dimensional maps exhibit properties akin to those in long-range-interacting systems.

The study enhances understanding of non-equilibrium states in Hamiltonian dynamics.

Abstract

We discuss the relation between ensemble and time averages for quasistationary states of low-dimensional symplectic maps that present remarkable analogies with similar states detected in many-body long-range-interacting Hamiltonian systems.