12,229 research outputs found
Oxygen minimum zone expansion in the eastern tropical North Pacific during deglaciation
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/95396/1/grl21420.pd
Tur\'an Graphs, Stability Number, and Fibonacci Index
The Fibonacci index of a graph is the number of its stable sets. This
parameter is widely studied and has applications in chemical graph theory. In
this paper, we establish tight upper bounds for the Fibonacci index in terms of
the stability number and the order of general graphs and connected graphs.
Tur\'an graphs frequently appear in extremal graph theory. We show that Tur\'an
graphs and a connected variant of them are also extremal for these particular
problems.Comment: 11 pages, 3 figure
High-field vortices in Josephson junctions with alternating critical current density
We study long Josephson junctions with the critical current density
alternating along the junction. New equilibrium states, which we call the field
synchronized or FS states, are shown to exist if the applied field is from
narrow intervals centered around equidistant series of resonant fields, .
The values of are much higher than the flux penetration field, . The
flux per period of the alternating critical current density, , is fixed
for each of the FS states. In the -th FS state the value of is
equal to an integer amount of flux quanta, . Two types of
single Josephson vortices carrying fluxes or/and can exist
in the FS states. Specific stepwise resonances in the current-voltage
characteristics are caused by periodic motion of these vortices between the
edges of the junction.Comment: 4 pages, 5 figure
Frequency response in surface-potential driven electro-hydrodynamics
Using a Fourier approach we offer a general solution to calculations of slip
velocity within the circuit description of the electro-hydrodynamics in a
binary electrolyte confined by a plane surface with a modulated surface
potential. We consider the case with a spatially constant intrinsic surface
capacitance where the net flow rate is in general zero while harmonic rolls as
well as time-averaged vortex-like components may exist depending on the spatial
symmetry and extension of the surface potential. In general the system displays
a resonance behavior at a frequency corresponding to the inverse RC time of the
system. Different surface potentials share the common feature that the
resonance frequency is inversely proportional to the characteristic length
scale of the surface potential. For the asymptotic frequency dependence above
resonance we find a 1/omega^2 power law for surface potentials with either an
even or an odd symmetry. Below resonance we also find a power law omega^alpha
with alpha being positive and dependent of the properties of the surface
potential. Comparing a tanh potential and a sech potential we qualitatively
find the same slip velocity, but for the below-resonance frequency response the
two potentials display different power law asymptotics with alpha=1 and
alpha~2, respectively.Comment: 4 pages including 1 figure. Accepted for PR
Missing data and multiple imputation in clinical epidemiological research
Missing data are ubiquitous in clinical epidemiological research. Individuals with missing data may differ from those with no missing data in terms of the outcome of interest and prognosis in general. Missing data are often categorized into the following three types: missing completely at random (MCAR), missing at random (MAR), and missing not at random (MNAR). In clinical epidemiological research, missing data are seldom MCAR. Missing data can constitute considerable challenges in the analyses and interpretation of results and can potentially weaken the validity of results and conclusions. A number of methods have been developed for dealing with missing data. These include complete-case analyses, missing indicator method, single value imputation, and sensitivity analyses incorporating worst-case and best-case scenarios. If applied under the MCAR assumption, some of these methods can provide unbiased but often less precise estimates. Multiple imputation is an alternative method to deal with missing data, which accounts for the uncertainty associated with missing data. Multiple imputation is implemented in most statistical software under the MAR assumption and provides unbiased and valid estimates of associations based on information from the available data. The method affects not only the coefficient estimates for variables with missing data but also the estimates for other variables with no missing data
Estimation of motility parameters from trajectory data:A condensate of our recent results
International audienceGiven a theoretical model for a self-propelled particle or micro-organism, how does one optimally determine the parameters of the model from experimental data in the form of a time-lapse recorded trajectory? For very long trajectories, one has very good statistics, and optimality may matter little. However, for biological micro-organisms, one may not control the duration of recordings, and then optimality can matter. This is especially the case if one is interested in individuality and hence cannot improve statistics by taking population averages over many trajectories. One can learn much about this problem by studying its simplest case, pure diffusion with no self-propagation. This is an interesting problem also in its own right for the very same reasons: interest in individuality and short trajectories. We summarize our recent results on this latter issue here and speculate about the extent to which similar results may be obtained also for self-propelled particles
Tunneling through nanosystems: Combining broadening with many-particle states
We suggest a new approach for transport through finite systems based on the
Liouville equation. By working in a basis of many-particle states for the
finite system, Coulomb interactions are taken fully into account and correlated
transitions by up to two different contact states are included. This latter
extends standard rate equation models by including level-broadening effects.
The main result of the paper is a general expression for the elements of the
density matrix of the finite size system, which can be applied whenever the
eigenstates and the couplings to the leads are known. The approach works for
arbitrary bias and for temperatures above the Kondo temperature. We apply the
approach to standard models and good agreement with other methods in their
respective regime of validity is found.Comment: 9 pages, 5 figures included to tex
Spin-orbit interaction and the 'metal-insulator' transition observed in two-dimensional hole systems
We present calculations of the spin and phase relaxation rates in GaAs/AlGaAs
-type quantum wells. These rates are used to derive the temperature
dependence of the weak-localization correction to the conductivity. In -type
quantum wells both weak localization and weak anti-localization are present due
to the strong spin-orbit interaction. When determining the total conductivity
correction one also have to include the term due to hole-hole interaction. The
magnitude of the latter depends on the ratio between the thermal energy and the
Fermi energy, and whether the system can be considered
as ballistic or diffusive (). We argue that due to the relatively low Fermi energy
and the moderate mobilities, in the -type systems in question, the
conductivity correction arising from hole-hole interactions is negligible at
the highest temperatures accessible in the experiments. Hence the
'metal-insulator' transition observed at these relatively high temperatures
could be caused by interference effects. We compare our calculations of the
weak anti-localization correction with the experimental results from different
independent groups with special emphasis on the experiments by Simmons et al.
We find good agreement between predicted and observed transistion density
.Comment: 6 pages, 4 figures. Accepted to PRB (15 June, 2002
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