62 research outputs found
Nonintegrable Schrodinger Discrete Breathers
In an extensive numerical investigation of nonintegrable translational motion
of discrete breathers in nonlinear Schrodinger lattices, we have used a
regularized Newton algorithm to continue these solutions from the limit of the
integrable Ablowitz-Ladik lattice. These solutions are shown to be a
superposition of a localized moving core and an excited extended state
(background) to which the localized moving pulse is spatially asymptotic. The
background is a linear combination of small amplitude nonlinear resonant plane
waves and it plays an essential role in the energy balance governing the
translational motion of the localized core. Perturbative collective variable
theory predictions are critically analyzed in the light of the numerical
results.Comment: 42 pages, 28 figures. to be published in CHAOS (December 2004
Intrinsically localized chaos in discrete nonlinear extended systems
The phenomenon of intrinsic localization in discrete nonlinear extended
systems, i.e. the (generic) existence of discrete breathers, is shown to be not
restricted to periodic solutions but it also extends to more complex (chaotic)
dynamical behaviour. We illustrate this with two different forced and damped
systems exhibiting this type of solutions: In an anisotropic Josephson junction
ladder, we obtain intrinsically localized chaotic solutions by following
periodic rotobreather solutions through a cascade of period-doubling
bifurcations. In an array of forced and damped van der Pol oscillators, they
are obtained by numerical continuation (path-following) methods from the
uncoupled limit, where its existence is trivially ascertained, following the
ideas of the anticontinuum limit.Comment: 6 pages, 6 figures, to appear in Europhysics Letter
Discrete soliton ratchets driven by biharmonic fields
Directed motion of topological solitons (kinks or antikinks) in the damped
and AC-driven discrete sine-Gordon system is investigated. We show that if the
driving field breaks certain time-space symmetries, the soliton can perform
unidirectional motion. The phenomenon resembles the well known effects of
ratchet transport and nonlinear harmonic mixing. Direction of the motion and
its velocity depends on the shape of the AC drive. Necessary conditions for the
occurrence of the effect are formulated. In comparison with the previously
studied continuum case, the discrete case shows a number of new features:
non-zero depinning threshold for the driving amplitude, locking to the rational
fractions of the driving frequency, and diffusive ratchet motion in the case of
weak intersite coupling.Comment: 13 pages, 13 figure
Surface spin-flop phases and bulk discommensurations in antiferromagnets
Phase diagrams as a function of anisotropy D and magnetic field H are
obtained for discommensurations and surface states for a model antiferromagnet
in which is parallel to the easy axis. The surface spin-flop phase exists
for all . We show that there is a region where the penetration length of the
surface spin-flop phase diverges. Introducing a discommensuration of even
length then becomes preferable to reconstructing the surface. The results are
used to clarify and correct previous studies in which discommensurations have
been confused with genuine surface spin-flop states.Comment: 4 pages, RevTeX, 2 Postscript figure
Quantum creep and quantum creep transitions in 1D sine-Gordan chains
Discrete sine-Gordon (SG) chains are studied with path-integral molecular
dynamics. Chains commensurate with the substrate show the transition from
collective quantum creep to pinning at bead masses slightly larger than those
predicted from the continuous SG model. Within the creep regime, a field-driven
transition from creep to complete depinning is identified. The effects of
disorder in the external potential on the chain's dynamics depend on the
potential's roughness exponent , i.e., quantum and classical fluctuations
affect the current self-correlation functions differently for .Comment: 4 pages, 3 figure
An Upsilon Point in a Spin Model
We present analytic evidence for the occurrence of an upsilon point, an
infinite checkerboard structure of modulated phases, in the ground state of a
spin model. The structure of the upsilon point is studied by calculating
interface--interface interactions using an expansion in inverse spin
anisotropy.Comment: 18 pages ReVTeX file, including 6 figures encoded with uufile
Resonant steps and spatiotemporal dynamics in the damped dc-driven Frenkel-Kontorova chain
Kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain
driven by a constant external force are investigated. Resonant steplike
transitions of the average velocity occur due to the competitions between the
moving kinks and their radiated phasonlike modes. A mean-field consideration is
introduced to give a precise prediction of the resonant steps. Slip-stick
motion and spatiotemporal dynamics on those resonant steps are discussed. Our
results can be applied to studies of the fluxon dynamics of 1D
Josephson-junction arrays and ladders, dislocations, tribology and other
fields.Comment: 20 Plain Latex pages, 10 Eps figures, to appear in Phys. Rev.
Driven Dynamics: A Probable Photodriven Frenkel-Kontorova Model
In this study, we examine the dynamics of a one-dimensional Frenkel-Kontorova
chain consisting of nanosize clusters (the ''particles'') and photochromic
molecules (the ''bonds''), and being subjected to a periodic substrate
potential. Whether the whole chain should be running or be locked depends on
both the frequency and the wavelength of the light (keeping the other
parameters fixed), as observed through numerical simulation. In the locked
state, the particles are bound at the bottom of the external potential and
vibrate backwards and forwards at a constant amplitude. In the running state,
the initially fed energy is transformed into directed motion as a whole. It is
of interest to note that the driving energy is introduced to the system by the
irradiation of light, and the driven mechanism is based on the dynamical
competition between the inherent lengths of the moving object (the chain) and
the supporting carrier (the isotropic surface). However, the most important is
that the light-induced conformational changes of the chromophore lead to the
time-and-space dependence of the rest lengths of the bonds.Comment: 4 pages,5 figure
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