7,985 research outputs found
From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
The evolution of infinitesimal, localized perturbations is investigated in a
one-dimensional diatomic gas of hard-point particles (HPG) and thereby
connected to energy diffusion. As a result, a Levy walk description, which was
so far invoked to explain anomalous heat conductivity in the context of
non-interacting particles is here shown to extend to the general case of truly
many-body systems. Our approach does not only provide a firm evidence that
energy diffusion is anomalous in the HPG, but proves definitely superior to
direct methods for estimating the divergence rate of heat conductivity which
turns out to be , in perfect agreement with the dynamical
renormalization--group prediction (1/3).Comment: 4 pages, 3 figure
ac-driven atomic quantum motor
We invent an ac-driven quantum motor consisting of two different, interacting
ultracold atoms placed into a ring-shaped optical lattice and submerged in a
pulsating magnetic field. While the first atom carries a current, the second
one serves as a quantum starter. For fixed zero-momentum initial conditions the
asymptotic carrier velocity converges to a unique non-zero value. We also
demonstrate that this quantum motor performs work against a constant load.Comment: 4 pages, 4 figure
An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics
We consider 3d Schrodinger operator with long-range potential that has
short-range radial derivative. The long-time asymptotics of non-stationary
problem is studied and existence of modified wave operators is proved. It turns
out, the standard WKB correction should be replaced by the solution to certain
evolution equation.Comment: This is a preprint of an article whose final and definitive form has
been published in Comm. Partial Differential Equations, available online at
http://www.informaworld.co
Mapping the Arnold web with a GPU-supercomputer
The Arnold diffusion constitutes a dynamical phenomenon which may occur in
the phase space of a non-integrable Hamiltonian system whenever the number of
the system degrees of freedom is . The diffusion is mediated by a
web-like structure of resonance channels, which penetrates the phase space and
allows the system to explore the whole energy shell. The Arnold diffusion is a
slow process; consequently the mapping of the web presents a very
time-consuming task. We demonstrate that the exploration of the Arnold web by
use of a graphic processing unit (GPU)-supercomputer can result in distinct
speedups of two orders of magnitude as compared to standard CPU-based
simulations.Comment: 7 pages, 4 figures, a video supplementary provided at
http://www.physik.uni-augsburg.de/~seiberar/arnold/Energy15_HD_frontNback.av
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