title: Origin of hyperdiffusion in generalized Brownian motion.
abstract: We study a minimal non-Markovian model of superdiffusion which originates from long-range velocity correlations within the generalized Langevin equation approach. The model allows for a three-dimensional Markovian embedding. The emergence of a transient hyperdiffusion, (Δx2(t))∝t(2+λ), with λ∼1-3 is detected in tilted washboard potentials before it ends up in a ballistic asymptotic regime. We relate this phenomenon to a transient heating of particles T(kin)(t)∝t(λ) from the thermal bath temperature T to some maximal kinetic temperature Tmax. This hyperdiffusive transient regime ceases when the particles arrive at the maximal kinetic temperature.
authors.affiliation: Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.
authors.forename: P
authors.initials: P
authors.lastname: Siegle
authors.forename: I
authors.initials: I
authors.lastname: Goychuk
authors.forename: P
authors.initials: P
authors.lastname: Hänggi