5,052 research outputs found
Stochastic analysis of different rough surfaces
This paper shows in detail the application of a new stochastic approach for
the characterization of surface height profiles, which is based on the theory
of Markov processes. With this analysis we achieve a characterization of the
scale dependent complexity of surface roughness by means of a Fokker-Planck or
Langevin equation, providing the complete stochastic information of multiscale
joint probabilities. The method is applied to several surfaces with different
properties, for the purpose of showing the utility of this method in more
details. In particular we show the evidence of Markov properties, and we
estimate the parameters of the Fokker-Planck equation by pure, parameter-free
data analysis. The resulting Fokker-Planck equations are verified by numerical
reconstruction of conditional probability density functions. The results are
compared with those from the analysis of multi-affine and extended multi-affine
scaling properties which is often used for surface topographies. The different
surface structures analysed here show in details advantages and disadvantages
of these methods.Comment: Minor text changes to be identical with the published versio
Edge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields
We use the dynamical density matrix renormalization group technique to show
that the high-energy part of the spectrum of a S=1 Haldane chain, placed in a
strong external magnetic field exceeding the Haldane gap , contains
edge singularities, similar to those known to exist in the low-energy spectral
response. It is demonstrated that in the frequency range
the longitudinal (with respect to the applied field) dynamical structure factor
is dominated by the power-law singularity
. We study
the behavior of the high-energy edge exponent and the edge
as functions of the magnetic field. The existence of edge
singularities at high energies is directly related to the Tomonaga-Luttinger
liquid character of the ground state at and is expected to be a
general feature of one-dimensional gapped spin systems in high magnetic fields.Comment: (v2) error in Eq.(11) correcte
Agglomeration mechanism during the preparation of nickel(0) and iron(0) zeolites
Magnetization measurements have been used to study the reduction process of Ni - zeolites and the thermal decomposition of
iron pentacarbonyl adsorbed on NaY zeolites . The Ni(0) particle size distribution in H2»reduced NiNaA, Ni NaX, Ni NaY and
NiNaM is bidisperse. The amount and the volume of particles
exceeding the cage dimensions increases in the sequence Μ,Υ,Χ,Α
zeolites. Particle fusion is found to be the rate determining
step. With decomposition of Fe(C0)5/NaY adducts, up to 97 wt.%
of the iron particles produced are smaller than 1.3 nm. Fluidized
sample bed, inert gas atmosphere and fast heating up to
440 Κ are essential to reach mononodal dispersion
An exact relation between Eulerian and Lagrangian velocity increment statistics
We present a formal connection between Lagrangian and Eulerian velocity
increment distributions which is applicable to a wide range of turbulent
systems ranging from turbulence in incompressible fluids to magnetohydrodynamic
turbulence. For the case of the inverse cascade regime of two-dimensional
turbulence we numerically estimate the transition probabilities involved in
this connection. In this context we are able to directly identify the processes
leading to strongly non-Gaussian statistics for the Lagrangian velocity
increments.Comment: 5 pages, 3 figure
Lagrangian statistics in forced two-dimensional turbulence
We report on simulations of two-dimensional turbulence in the inverse energy
cascade regime. Focusing on the statistics of Lagrangian tracer particles,
scaling behavior of the probability density functions of velocity fluctuations
is investigated. The results are compared to the three-dimensional case. In
particular an analysis in terms of compensated cumulants reveals the transition
from a strong non-Gaussian behavior with large tails to Gaussianity. The
reported computation of correlation functions for the acceleration components
sheds light on the underlying dynamics of the tracer particles.Comment: 8 figures, 1 tabl
Exponential Decay for Small Non-Linear Perturbations of Expanding Flat Homogeneous Cosmologies
It is shown that during expanding phases of flat homogeneous cosmologies all
small enough non-linear perturbations decay exponentially. This result holds
for a large class of perfect fluid equations of state, but notably not for very
``stiff'' fluids as the pure radiation case
Determination of islet cell antibodies using an ELISA system with a preparation of rat insulinoma (RIN A2) cells
An enzyme-linked immunosorbent assay (ELISA) was established for the detection of islet cell antibodies in human sera. The antigen was prepared from rat insulinoma (RIN A2) cells. Cells were dissociated in lysis buffer and the lysate was centrifuged at 100,000 x g. The supernatant was used to coat microtiter ELISA plates (10 micrograms protein/ml in PBS pH 7.2). Non-specific binding sites on the plates were blocked with 2% PBS-BSA. Human test sera were preabsorbed on separate plates using 2% PBS-BSA and incubated on precoated plates at an optimal dilution of 1/10 in 60 mM PBS for 60 min at 37 degrees C. Phosphatase-labeled anti-human IgG serum and phosphatase substrate were applied and the reaction was stopped by adding 3 M NaOH. Out of 90 sera from type I diabetic patients, 47 (52.2%) reacted in the new ELISA whereas none of 15 type II diabetics, 50 sera containing non-islet specific antibodies or 100 normal controls were positive. In the same group of patients, ICA were positive in 63.3%. When both, the ELISA and conventional ICA testing were applied, the number of positives was increased to 83%. The ICA-ELISA with the above described antigen preparation provides a well standardized and reproducible test method which is highly specific for type I diabetes. It may therefore be useful for large screening procedures
How to quantify deterministic and random influences on the statistics of the foreign exchange market
It is shown that prize changes of the US dollar - German Mark exchange rates
upon different delay times can be regarded as a stochastic Marcovian process.
Furthermore we show that from the empirical data the Kramers-Moyal coefficients
can be estimated.
Finally, we present an explicite Fokker-Planck equation which models very
precisely the empirical probabilitiy distributions.Comment: 3 figure
Generalized vortex-model for the inverse cascade of two-dimensional turbulence
We generalize Kirchhoff's point vortex model of two-dimensional fluid motion
to a rotor model which exhibits an inverse cascade by the formation of rotor
clusters. A rotor is composed of two vortices with like-signed circulations
glued together by an overdamped spring. The model is motivated by a treatment
of the vorticity equation representing the vorticity field as a superposition
of vortices with elliptic Gaussian shapes of variable widths, augmented by a
suitable forcing mechanism. The rotor model opens up the way to discuss the
energy transport in the inverse cascade on the basis of dynamical systems
theory.Comment: 14 pages, 21 figure
The G protein-gated potassium current I(K,ACh) is constitutively active in patients with chronic atrial fibrillation
Background— The molecular mechanism of increased background inward rectifier current (IK1) in atrial fibrillation (AF) is not fully understood. We tested whether constitutively active acetylcholine (ACh)-activated IK,ACh contributes to enhanced basal conductance in chronic AF (cAF).
Methods and Results— Whole-cell and single-channel currents were measured with standard voltage-clamp techniques in atrial myocytes from patients with sinus rhythm (SR) and cAF. The selective IK,ACh blocker tertiapin was used for inhibition of IK,ACh. Whole-cell basal current was larger in cAF than in SR, whereas carbachol (CCh)-activated IK,ACh was lower in cAF than in SR. Tertiapin (0.1 to 100 nmol/L) reduced IK,ACh in a concentration-dependent manner with greater potency in cAF than in SR (−logIC50: 9.1 versus 8.2; P<0.05). Basal current contained a tertiapin-sensitive component that was larger in cAF than in SR (tertiapin [10 nmol/L]-sensitive current at −100 mV: cAF, −6.7±1.2 pA/pF, n=16/5 [myocytes/patients] versus SR, −1.7±0.5 pA/pF, n=24/8), suggesting contribution of constitutively active IK,ACh to basal current. In single-channel recordings, constitutively active IK,ACh was prominent in cAF but not in SR (channel open probability: cAF, 5.4±0.7%, n=19/9 versus SR, 0.1±0.05%, n=16/9; P<0.05). Moreover, IK1 channel open probability was higher in cAF than in SR (13.4±0.4%, n=19/9 versus 11.4±0.7%, n=16/9; P<0.05) without changes in other channel characteristics.
Conclusions— Our results demonstrate that larger basal inward rectifier K+ current in cAF consists of increased IK1 activity and constitutively active IK,ACh. Blockade of IK,ACh may represent a new therapeutic target in AF
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