Chaotic and ballistic dynamics in time-driven quasiperiodic lattices

TL;DR

This paper explores the complex nonequilibrium behavior of particles in a driven quasiperiodic Fibonacci lattice, revealing long ballistic flights and explaining their origins through hierarchical lattice decompositions, with comparisons to periodic and random cases.

Contribution

It introduces a novel analysis of transient ballistic dynamics in quasiperiodic lattices using hierarchical block decomposition methods.

Findings

Long ballistic flights occur at specific velocities.

Hierarchical block decomposition explains transient dynamics.

Distinct behaviors compared to periodic and random lattices.

Abstract

We investigate the nonequilibrium dynamics of classical particles in a driven quasiperiodic lattice based on the Fibonacci sequence. An intricate transient dynamics of extraordinarily long ballistic flights at distinct velocities is found. We argue how these transients are caused and can be under- stood by a hierarchy of block decompositions of the quasiperiodic lattice. A comparison to the cases of periodic and fully randomized lattices is performed.