1,141 research outputs found
Random tree growth by vertex splitting
We study a model of growing planar tree graphs where in each time step we
separate the tree into two components by splitting a vertex and then connect
the two pieces by inserting a new link between the daughter vertices. This
model generalises the preferential attachment model and Ford's -model
for phylogenetic trees. We develop a mean field theory for the vertex degree
distribution, prove that the mean field theory is exact in some special cases
and check that it agrees with numerical simulations in general. We calculate
various correlation functions and show that the intrinsic Hausdorff dimension
can vary from one to infinity, depending on the parameters of the model.Comment: 47 page
Molecular astronomy of cool stars and sub-stellar objects
The optical and infrared spectra of a wide variety of `cool' astronomical
objects including the Sun, sunspots, K-, M- and S-type stars, carbon stars,
brown dwarfs and extrasolar planets are reviewed. The review provides the
necessary astronomical background for chemical physicists to understand and
appreciate the unique molecular environments found in astronomy. The
calculation of molecular opacities needed to simulate the observed spectral
energy distributions is discussed
Het effect van lichtkleur en lichtduur op melkproductie en gedrag van melkvee = The effect of light colour and photoperiod on milk production and behaviour of dairy cows
This study investigated whether extending the natural photoperiod with different colours of artificial light influences the biological clock and body functions of dairy cows. This study shows that the biological clock of dairy cows is relatively insensitive to red light. In comparison with red artificial light, photoperiod extensions with other light colours have differential effects on the dairy cow
Convection in colloidal suspensions with particle-concentration-dependent viscosity
The onset of thermal convection in a horizontal layer of a colloidal
suspension is investigated in terms of a continuum model for binary-fluid
mixtures where the viscosity depends on the local concentration of colloidal
particles. With an increasing difference between the viscosity at the warmer
and the colder boundary the threshold of convection is reduced in the range of
positive values of the separation ratio psi with the onset of stationary
convection as well as in the range of negative values of psi with an
oscillatory Hopf bifurcation. Additionally the convection rolls are shifted
downwards with respect to the center of the horizontal layer for stationary
convection (psi>0) and upwards for the Hopf bifurcation (psi<0).Comment: 8 pages, 6 figures, submitted to European Physical Journal
Circuit Quantum Electrodynamics of Granular Aluminum Resonators
The introduction of crystalline defects or dopants can give rise to so-called
"dirty superconductors", characterized by reduced coherence length and
quasiparticle mean free path. In particular, granular superconductors such as
Granular Aluminum (GrAl), consisting of remarkably uniform grains connected by
Josephson contacts have attracted interest since the sixties thanks to their
rich phase diagram and practical advantages, like increased critical
temperature, critical field, and kinetic inductance. Here we report the
measurement and modeling of circuit quantum electrodynamics properties of GrAl
microwave resonators in a wide frequency range, up to the spectral
superconducting gap. Interestingly, we observe self-Kerr coefficients ranging
from Hz to Hz, within an order of magnitude from analytic
calculations based on GrAl microstructure. This amenable nonlinearity, combined
with the relatively high quality factors in the range, open new avenues
for applications in quantum information processing and kinetic inductance
detectors.Comment: 7 pages, 4 figures, supplementary informatio
Global properties of Stochastic Loewner evolution driven by Levy processes
Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian
motion which then produces a trace, a continuous fractal curve connecting the
singular points of the motion. If jumps are added to the driving function, the
trace branches. In a recent publication [1] we introduced a generalized SLE
driven by a superposition of a Brownian motion and a fractal set of jumps
(technically a stable L\'evy process). We then discussed the small-scale
properties of the resulting L\'evy-SLE growth process. Here we discuss the same
model, but focus on the global scaling behavior which ensues as time goes to
infinity. This limiting behavior is independent of the Brownian forcing and
depends upon only a single parameter, , which defines the shape of the
stable L\'evy distribution. We learn about this behavior by studying a
Fokker-Planck equation which gives the probability distribution for endpoints
of the trace as a function of time. As in the short-time case previously
studied, we observe that the properties of this growth process change
qualitatively and singularly at . We show both analytically and
numerically that the growth continues indefinitely in the vertical direction
for , goes as for , and saturates for . The probability density has two different scales corresponding to
directions along and perpendicular to the boundary. In the former case, the
characteristic scale is . In the latter case the scale
is for , and
for . Scaling functions for the probability density are given for
various limiting cases.Comment: Published versio
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