8,521 research outputs found
A hyperbolic system and the cost of null controllability for the Stokes system
This paper is devoted to study the cost of the null controllability for the
Stokes system. Using the control transmutation method we show that the cost of
driving the Stokes system to rest at time T is of order e^C/T when T
-->0^+,i.e., the same order as for the heat equation. For this to be possible,
we are led to study the exact controllability of one hyperbolic system with a
resistance term, which will be done under assumptions on the control region.Comment: 17 page
A uniform controllability result for the Keller-Segel system
In this paper we study the controllability of the Keller-Segel system
approximating its parabolic-elliptic version. We show that this parabolic
system is locally uniform controllable around a constant solution of the
parabolic-elliptic system when the control is acting on the component of the
chemical
The split-operator technique for the study of spinorial wavepacket dynamics
The split-operator technique for wave packet propagation in quantum systems
is expanded here to the case of propagating wave functions describing
Schr\"odinger particles, namely, charge carriers in semiconductor
nanostructures within the effective mass approximation, in the presence of
Zeeman effect, as well as of Rashba and Dresselhaus spin-orbit interactions. We
also demonstrate that simple modifications to the expanded technique allow us
to calculate the time evolution of wave packets describing Dirac particles,
which are relevant for the study of transport properties in graphene.Comment: 19 pages, 4 figure
Theoretical investigation of electron-hole complexes in anisotropic two-dimensional materials
Trions and biexcitons in anisotropic two-dimensional materials are
investigated within an effective mass theory. Explicit results are obtained for
phosphorene and arsenene, materials that share features such as a direct
quasi-particle gap and anisotropic conduction and valence bands. Trions are
predicted to have remarkably high binding energies and an elongated
electron-hole structure with a preference for alignment along the armchair
direction, where the effective masses are lower. We find that biexciton binding
energies are also notably large, especially for monolayer phosphorene, where
they are found to be twice as large as those for typical monolayer transition
metal dichalcogenides.Comment: 3 figures, 5 pages + Supplementary Material, accepted for publication
in Phys. Rev.
VHE gamma-ray observations of the young synchrotron-dominated SNRs G1.9+0.3 and G330.2+1.0 with H.E.S.S
Supernova remnants (SNRs) are widely considered to be accelerators of cosmic
rays (CR). They are also expected to produce very-high-energy (VHE;
GeV) gamma rays through interactions of high-energy particles with the
surrounding medium and photon fields. They are, therefore, promising targets
for observations with ground-based imaging atmospheric Cherenkov telescopes
like the H.E.S.S. telescope array. VHE gamma-ray emission has already been
discovered from a number of SNRs, establishing them as a prominent source class
in the VHE domain. Of particular interest are the handful of SNRs whose X-ray
spectra are dominated by non-thermal synchrotron emission, such as the VHE
gamma-ray emitters RX J0852.0-4622 (Vela Jr.) and RX J1713-3946. The shell-type
SNRs G1.9+0.3 and G330.2+1.0 also belong to this subclass and are further
notable for their young ages ( kyr), especially G1.9+0.3, which was
recently determined to be the youngest SNR in the Galaxy ( yr). These
unique characteristics motivated investigations with H.E.S.S. to search for VHE
gamma rays. The results of the H.E.S.S. observations and analyses are
presented, along with implications for potential particle acceleration
scenarios.Comment: ICRC 2011 proceedings, 4 pages, 2 figures, 3 table
Anisotropic exciton Stark shift in black phosphorus
We calculate the excitonic spectrum of few-layer black phosphorus by direct
diagonalization of the effective mass Hamiltonian in the presence of an applied
in-plane electric field. The strong attractive interaction between electrons
and holes in this system allows one to investigate the Stark effect up to very
high ionizing fields, including also the excited states. Our results show that
the band anisotropy in black phosphorus becomes evident in the direction
dependent field induced polarizability of the exciton
Between the grace and justice of the king. The royal lineage of Grenade’s infantrymen face to the rebellion and the moriscos’ punishment
En el presente artÃculo se esboza la historia de los Infantes de Granada desde la conquista de dicho reino hasta los albores de la expulsión de los moriscos, haciendo especial hincapié en el juego de relaciones establecidas con la monarquÃa en torno al carácter real de su linaje y el peligro potencial que éste representaba, asà como en la importante conservación del mismo que representaba para la monarquÃa de los Habsburgo.In this paper we try to sketch the history of Grenade‘s infantrymen from the conquest of that kingdom until the very first moments of the morisco expulsion. The stress is placed on the diversity of relations carried out with the monarchy about the character of their royal lineage and the latent danger that represented its presence in Castile, and also the importance that its conservation meant to the Habsburg monarchy
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