4,674 research outputs found
BEC for a Coupled Two-type Hard Core Bosons Model
We study a solvable model of two types hard core Bose particles. A complete
analysis is given of its equilibrium states including the proof of existence of
Bose-Einstein condensation. The plasmon frequencies and the quantum normal
modes corresponding to these frequencies are rigorously constructed. In
particular we show a two-fold degeneracy of these frequencies. We show that all
this results from spontaneous gauge symmetry breakdown
Ionization of atoms by few-cycle EUV laser pulses: carrier-envelope phase dependence of the intra-pulse interference effects
We have investigated the ionization of the H atom by intense few-cycle laser
pulses, in particular the intra-pulse interference effects, and their
dependence on the carrier-envelope phase (CEP) of the laser pulse. In the final
momentum distribution of the continuum electrons the imprint of two types of
intra-pulse interference effects can be observed, namely the temporal and
spatial interference. During the spatial interference electronic wave packets
emitted at the same time, but following different paths interfere leading to an
interference pattern measurable in the electron spectra. This can be also
interpreted as the interference between a direct and a scattered wave, and the
spatial interference pattern as the holographic mapping (HM) of the target.
This HM pattern is strongly influenced by the carrier-envelope phase through
the shape of the laser pulse. Here, we have studied how the shape of the HM
pattern is modified by the CEP, and we have found an optimal CEP for the
observation of HM
Pulsar wind nebulae in supernova remnants
A spherically symmetric model is presented for the interaction of a pulsar
wind with the associated supernova remnant. This results in a pulsar wind
nebula whose evolution is coupled to the evolution of the surrounding supernova
remnant. This evolution can be divided in three stages. The first stage is
characterised by a supersonic expansion of the pulsar wind nebula into the
freely expanding ejecta of the progenitor star. In the next stage the pulsar
wind nebula is not steady; the pulsar wind nebula oscillates between
contraction and expansion due to interaction with the reverse shock of the
supernova remnant: reverberations which propagate forward and backward in the
remnant. After the reverberations of the reverse shock have almost completely
vanished and the supernova remnant has relaxed to a Sedov solution, the
expansion of the pulsar wind nebula proceeds subsonically. In this paper we
present results from hydrodynamical simulations of a pulsar wind nebula through
all these stages in its evolution. The simulations were carried out with the
Versatile Advection Code.Comment: 10 pages, 9 figures, submitted to Astronomy and Astrophysic
Financial correlations at ultra-high frequency: theoretical models and empirical estimation
A detailed analysis of correlation between stock returns at high frequency is
compared with simple models of random walks. We focus in particular on the
dependence of correlations on time scales - the so-called Epps effect. This
provides a characterization of stochastic models of stock price returns which
is appropriate at very high frequency.Comment: 22 pages, 8 figures, 1 table, version to appear in EPJ
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