4,560 research outputs found
Collective behavior of heterogeneous neural networks
We investigate a network of integrate-and-fire neurons characterized by a
distribution of spiking frequencies. Upon increasing the coupling strength, the
model exhibits a transition from an asynchronous regime to a nontrivial
collective behavior. At variance with the Kuramoto model, (i) the macroscopic
dynamics is irregular even in the thermodynamic limit, and (ii) the microscopic
(single-neuron) evolution is linearly stable.Comment: 4 pages, 5 figure
Modeling for Active Control of Combustion and Thermally Driven Oscillations
Organized oscillations excited and sustained by high densities of energy release in combustion chambers have long caused serious problems in development of propulsion systems. The amplitudes often become sufficiently large to cause unacceptable structural vibrations. Because the oscillations are self-excited, they reach limiting amplitudes (limit cycles) only because of the action of nonlinear processes. Traditionally, satisfactory behavior
has been achieved through a combination of trial-and-error
design and testing, with control always involving passive means: geometrical modifications, changes of propellant composition, or devices to enhance dissipation of acoustic energy. Active control has been applied only to small-scale laboratory devices, but the limited success suggests the possibility of serious applications to full-scale propulsion systems. Realization of that potential rests on further experimental work, combined with deeper understanding of the mechanisms causing the oscillations and of the physical behavior of the systems. Effective design of active control systems will require faithful modeling of the relevant processes over broad frequency ranges covering the spectra of natural modes. This paper will cover the general character of the linear and nonlinear behavior of combustion systems, with special attention to acoustics and the mechanisms of excitation.
The discussion is intended to supplement the paper by Doyle et al. concerned primarily with controls issues and the observed behavior of simple laboratory devices
Polarons in semiconductor quantum-dots and their role in the quantum kinetics of carrier relaxation
While time-dependent perturbation theory shows inefficient carrier-phonon
scattering in semiconductor quantum dots, we demonstrate that a quantum kinetic
description of carrier-phonon interaction predicts fast carrier capture and
relaxation. The considered processes do not fulfill energy conservation in
terms of free-carrier energies because polar coupling of localized quantum-dot
states strongly modifies this picture.Comment: 6 pages, 6 figures, accepted for publication in Phys.Rev.
Long-range Energy Transfer and Ionization in Extended Quantum Systems Driven by Ultrashort Spatially Shaped Laser Pulses
The processes of ionization and energy transfer in a quantum system composed
of two distant H atoms with an initial internuclear separation of 100 atomic
units (5.29 nm) have been studied by the numerical solution of the
time-dependent Schr\"odinger equation beyond the Born-Oppenheimer
approximation. Thereby it has been assumed that only one of the two H atoms was
excited by temporally and spatially shaped laser pulses at various laser
carrier frequencies. The quantum dynamics of the extended H-H system, which was
taken to be initially either in an unentangled or an entangled ground state,
has been explored within a linear three-dimensional model, including two z
coordinates of the electrons and the internuclear distance R. An efficient
energy transfer from the laser-excited H atom (atom A) to the other H atom
(atom B) and the ionization of the latter have been found. It has been shown
that the physical mechanisms of the energy transfer as well as of the
ionization of atom B are the Coulomb attraction of the laser driven electron of
atom A by the proton of atom B and a short-range Coulomb repulsion of the two
electrons when their wave functions strongly overlap in the domain of atom B.Comment: 11 pages, 7 figure
Optical properties of self-organized wurtzite InN/GaN quantum dots: A combined atomistic tight-binding and full configuration interaction calculation
In this work we investigate the electronic and optical properties of
self-assembled InN/GaN quantum dots. The one-particle states of the
low-dimensional heterostructures are provided by a tight-binding model that
fully includes the wurtzite crystal structure on an atomistic level. Optical
dipole and Coulomb matrix elements are calculated from these one-particle wave
functions and serve as an input for full configuration interaction
calculations. We present multi-exciton emission spectra and discuss in detail
how Coulomb correlations and oscillator strengths are changed by the
piezoelectric fields present in the structure. Vanishing exciton and biexciton
ground state emission for small lens-shaped dots is predicted.Comment: 3 pages, 2 figure
Mapping the ionised gas around the luminous QSO HE 1029-1401: Evidence for minor merger events?
We present VIMOS integral field spectroscopy of the brightest radio-quiet QSO
on the southern sky HE 1029-1401 at a redshift of z=0.086. Standard
decomposition techniques for broad-band imaging are extended to integral field
data in order to deblend the QSO and host emission. We perform a tentative
analysis of the stellar continuum finding a young stellar population (<100Myr)
or a featureless continuum embedded in an old stellar population (10Gyr)
typical for a massive elliptical galaxy. The stellar velocity dispersion of
sigma_*=320\pm90 km/s and the estimated black hole mass
log(M_BH/M_sun)=8.7\pm0.3 are consistent with the local M_BH-sigma_* relation
within the errors. For the first time we map the two-dimensional ionised gas
distribution and the gas velocity field around HE 1029-1401. While the stellar
host morphology is purely elliptical we find a highly structured distribution
of ionised gas out to 16 kpc from the QSO. The gas is highly ionised solely by
the QSO radiation and has a significantly lower metallicity than would be
expected for the stellar mass of the host, indicating an external origin of the
gas most likely due to minor mergers. We find a rotating gas disc around the
QSO and a dispersion-dominated non-rotating gas component within the central 3
kpc. At larger distances the velocity field is heavily disturbed, which could
be interpreted as another signature of past minor merger events. Alternatively,
the arc-like structure seen in the ionised gas might also be indicative of a
large-scale expanding bubble, centred on and possibly driven by the active
nucleus.Comment: 13 pages, 13 figures, 1 table, accepted for publication in A&
Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
Numerical methods for oscillatory, multi-scale Hamiltonian systems are reviewed. The construction principles are described, and the algorithmic and analytical distinction between problems with nearly constant high frequencies and with time- or state-dependent frequencies is emphasized. Trigonometric integrators for the first case and adiabatic integrators for the second case are discussed in more detail
HE 0047-1756: A new gravitationally lensed double QSO
The quasar HE 0047-1756, at z=1.67, is found to be split into two images
1.44" apart by an intervening galaxy acting as a gravitational lens. The flux
ratio for the two components is roughly 3.5:1, depending slightly upon
wavelength. The lensing galaxy is seen on images obtained at 800 nm and 2.1
\mu; there is also a nearby faint object which may be responsible for some
shear. The spectra of the two quasar images are nearly identical, but the
emission line ratio between the two components scale differently from the
continuum. Moreover, the fainter component has a bluer continuum slope than the
brighter one. We argue that these small differences are probably due to
microlensing. There are hints of an Einstein ring emanating from the brighter
image toward the fainter one.Comment: 4 pages, submitted to A&A Letter
Systematic study of carrier correlations in the electron-hole recombination dynamics of quantum dots
The ground state carrier dynamics in self-assembled (In,Ga)As/GaAs quantum
dots has been studied using time-resolved photoluminescence and transmission.
By varying the dot design with respect to confinement and doping, the dynamics
is shown to follow in general a non-exponential decay. Only for specific
conditions in regard to optical excitation and carrier population, for example,
the decay can be well described by a mono-exponential form. For resonant
excitation of the ground state transition a strong shortening of the
luminescence decay time is observed as compared to the non-resonant case. The
results are consistent with a microscopic theory that accounts for deviations
from a simple two-level picture.Comment: 8 pages, 7 figure
- …