1,038 research outputs found
Characterization of Line-Consistent Signed Graphs
The line graph of a graph with signed edges carries vertex signs. A
vertex-signed graph is consistent if every circle (cycle, circuit) has positive
vertex-sign product. Acharya, Acharya, and Sinha recently characterized
line-consistent signed graphs, i.e., edge-signed graphs whose line graphs, with
the naturally induced vertex signature, are consistent. Their proof applies
Hoede's relatively difficult characterization of consistent vertex-signed
graphs. We give a simple proof that does not depend on Hoede's theorem as well
as a structural description of line-consistent signed graphs.Comment: 5 pages. V2 defines sign of a walk and corrects statement of Theorem
4 ("is balanced and" was missing); also minor copyeditin
Finite Element Analysis of Strain Effects on Electronic and Transport Properties in Quantum Dots and Wires
Lattice mismatch in layered semiconductor structures with submicron length
scales leads to extremely high nonuniform strains. This paper presents a finite
element technique for incorporating the effects of the nonuniform strain into
an analysis of the electronic properties of SiGe quantum structures. Strain
fields are calculated using a standard structural mechanics finite element
package and the effects are included as a nonuniform potential directly in the
time independent Schrodinger equation; a k-p Hamiltonian is used to model the
effects of multiple valence subband coupling. A variational statement of the
equation is formulated and solved using the finite element method. This
technique is applied to resonant tunneling diode quantum dots and wires; the
resulting densities of states confined to the quantum well layers of the
devices are compared to experimental current-voltage I(V) curves.Comment: 17 pages (LaTex), 18 figures (JPEG), submitted to Journal of Applied
Physic
Reducing or enhancing chaos using periodic orbits
A method to reduce or enhance chaos in Hamiltonian flows with two degrees of
freedom is discussed. This method is based on finding a suitable perturbation
of the system such that the stability of a set of periodic orbits changes
(local bifurcations). Depending on the values of the residues, reflecting their
linear stability properties, a set of invariant tori is destroyed or created in
the neighborhood of the chosen periodic orbits. An application on a
paradigmatic system, a forced pendulum, illustrates the method
On the unconstrained expansion of a spherical plasma cloud turning collisionless : case of a cloud generated by a nanometer dust grain impact on an uncharged target in space
Nano and micro meter sized dust particles travelling through the heliosphere
at several hundreds of km/s have been repeatedly detected by interplanetary
spacecraft. When such fast moving dust particles hit a solid target in space,
an expanding plasma cloud is formed through the vaporisation and ionisation of
the dust particles itself and part of the target material at and near the
impact point. Immediately after the impact the small and dense cloud is
dominated by collisions and the expansion can be described by fluid equations.
However, once the cloud has reached micro-m dimensions, the plasma may turn
collisionless and a kinetic description is required to describe the subsequent
expansion. In this paper we explore the late and possibly collisionless
spherically symmetric unconstrained expansion of a single ionized ion-electron
plasma using N-body simulations. Given the strong uncertainties concerning the
early hydrodynamic expansion, we assume that at the time of the transition to
the collisionless regime the cloud density and temperature are spatially
uniform. We do also neglect the role of the ambient plasma. This is a
reasonable assumption as long as the cloud density is substantially higher than
the ambient plasma density. In the case of clouds generated by fast
interplanetary dust grains hitting a solid target some 10^7 electrons and ions
are liberated and the in vacuum approximation is acceptable up to meter order
cloud dimensions. ..
Targeted mixing in an array of alternating vortices
Transport and mixing properties of passive particles advected by an array of
vortices are investigated. Starting from the integrable case, it is shown that
a special class of perturbations allows one to preserve separatrices which act
as effective transport barriers, while triggering chaotic advection. In this
setting, mixing within the two dynamical barriers is enhanced while long range
transport is prevented. A numerical analysis of mixing properties depending on
parameter values is performed; regions for which optimal mixing is achieved are
proposed. Robustness of the targeted mixing properties regarding errors in the
applied perturbation are considered, as well as slip/no-slip boundary
conditions for the flow
Quantum Breaking Time Scaling in the Superdiffusive Dynamics
We show that the breaking time of quantum-classical correspondence depends on
the type of kinetics and the dominant origin of stickiness. For sticky dynamics
of quantum kicked rotor, when the hierarchical set of islands corresponds to
the accelerator mode, we demonstrate by simulation that the breaking time
scales as with the transport exponent
that corresponds to superdiffusive dynamics. We discuss also other
possibilities for the breaking time scaling and transition to the logarithmic
one with respect to
Statistics of precursors to fingering processes
We present an analysis of the statistical properties of hydrodynamic field
fluctuations which reveal the existence of precursors to fingering processes.
These precursors are found to exhibit power law distributions, and these power
laws are shown to follow from spatial -Gaussian structures which are
solutions to the generalized non-linear diffusion equation.Comment: 7 pages incl. 5 figs; tp appear in Europhysics Letter
Dynamic instabilities in resonant tunneling induced by a magnetic field
We show that the addition of a magnetic field parallel to the current induces
self sustained intrinsic current oscillations in an asymmetric double barrier
structure. The oscillations are attributed to the nonlinear dynamic coupling of
the current to the charge trapped in the well, and the effect of the external
field over the local density of states across the system. Our results show that
the system bifurcates as the field is increased, and may transit to chaos at
large enough fields.Comment: 4 pages, 3 figures, accepted in Phys. Rev. Letter
Tuning the mobility of a driven Bose-Einstein condensate via diabatic Floquet bands
We study the response of ultracold atoms to a weak force in the presence of a
temporally strongly modulated optical lattice potential. It is experimentally
demonstrated that the strong ac-driving allows for a tailoring of the mobility
of a dilute atomic Bose-Einstein condensate with the atoms moving ballistically
either along or against the direction of the applied force. Our results are in
agreement with a theoretical analysis of the Floquet spectrum of a model
system, thus revealing the existence of diabatic Floquet bands in the atom's
band spectra and highlighting their role in the non-equilibrium transport of
the atoms
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