39,786 research outputs found
Dual regimes of ion migration in high repetition rate femtosecond laser inscribed waveguides
Ion migration in high repetition rate femtosecond laser inscribed waveguides
is currently being reported in different optical glasses. For the first time we
discuss and experimentally demonstrate the presence of two regimes of ion
migration found in laser written waveguides. Regime-I, corresponds to the
initial waveguide formation mainly via light element migration (in our case
atomic weight < 31u), whereas regime-II majorly corresponds to the movement of
heavy elements. This behavior brings attention to a problem which has never
been analyzed before and that affects laser written active waveguides in which
active ions migrate changing their local spectroscopic properties. The
migration of active ions may in fact detune the pre-designed optimal values of
active photonic devices. This paper experimentally evidences this problem and
provides solutions to avert it.Comment: 4 pages, 5 figure
The Cosmic Near Infrared Background: Remnant Light from Early Stars
The redshifted ultraviolet light from early stars at z ~ 10 contributes to
the cosmic near infrared background. We present detailed calculations of its
spectrum with various assumptions about metallicity and mass spectrum of early
stars. We show that if the near infrared background has a stellar origin,
metal-free stars are not the only explanation of the excess near infrared
background; stars with metals (e.g. Z=1/50 Z_sun) can produce the same amount
of background intensity as the metal-free stars. We quantitatively show that
the predicted average intensity at 1-2 microns is essentially determined by the
efficiency of nuclear burning in stars, which is not very sensitive to
metallicity. We predict \nu I_\nu / \dot{\rho}_* ~ 4-8 nW m^-2 sr^-1, where
\dot{\rho_*} is the mean star formation rate at z=7-15 (in units of M_sun yr^-1
Mpc^-3) for stars more massive than 5 M_sun. On the other hand, since we have
very little knowledge about the form of mass spectrum of early stars,
uncertainty in the average intensity due to the mass spectrum could be large.
An accurate determination of the near infrared background allows us to probe
formation history of early stars, which is difficult to constrain by other
means. While the star formation rate at z=7-15 inferred from the current data
is significantly higher than the local rate at z<5, it does not rule out the
stellar origin of the cosmic near infrared background. In addition, we show
that a reasonable initial mass function, coupled with this star formation rate,
does not over-produce metals in the universe in most cases, and may produce as
little as less than 1 % of the metals observed in the universe today.Comment: 37 pages, 7 figures, (v2) Changes to abstract to emphasize that the
excess near infrared background can solely be explained by stars with
significant metals. (Metal-free stars are not necessarily needed.) (v3)
Expanded discussion on the metallicity constraint. Accepted for publication
in Ap
Anomalous diffusion in correlated continuous time random walks
We demonstrate that continuous time random walks in which successive waiting
times are correlated by Gaussian statistics lead to anomalous diffusion with
mean squared displacement ~t^{2/3}. Long-ranged correlations of the
waiting times with power-law exponent alpha (0<alpha<=2) give rise to
subdiffusion of the form ~t^{alpha/(1+alpha)}. In contrast correlations
in the jump lengths are shown to produce superdiffusion. We show that in both
cases weak ergodicity breaking occurs. Our results are in excellent agreement
with simulations.Comment: 6 pages, 6 figures. Slightly revised version, accepted to J Phys A as
a Fast Track Communicatio
Phase properties of a new nonlinear coherent state
We study phase properties of a displacement operator type nonlinear coherent
state. In particular we evaluate the Pegg-Barnett phase distribution and
compare it with phase distributions associated with the Husimi Q function and
the Wigner function. We also study number- phase squeezing of this state.Comment: 8 eps figures. to appear in J.Opt
Dynamical complexity of discrete time regulatory networks
Genetic regulatory networks are usually modeled by systems of coupled
differential equations and by finite state models, better known as logical
networks, are also used. In this paper we consider a class of models of
regulatory networks which present both discrete and continuous aspects. Our
models consist of a network of units, whose states are quantified by a
continuous real variable. The state of each unit in the network evolves
according to a contractive transformation chosen from a finite collection of
possible transformations, according to a rule which depends on the state of the
neighboring units. As a first approximation to the complete description of the
dynamics of this networks we focus on a global characteristic, the dynamical
complexity, related to the proliferation of distinguishable temporal behaviors.
In this work we give explicit conditions under which explicit relations between
the topological structure of the regulatory network, and the growth rate of the
dynamical complexity can be established. We illustrate our results by means of
some biologically motivated examples.Comment: 28 pages, 4 figure
- …