Chaotic and ballistic dynamics in time-driven quasiperiodic lattices.

Wulf, Thomas; Schmelcher, Peter · Phys Rev E · 2016

basic_science · Level V

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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 understood by a hierarchy of block decompositions of the quasiperiodic lattice. A comparison to the cases of periodic and fully randomized lattices is performed.