2,856 research outputs found
Strongly anisotropic roughness in surfaces driven by an oblique particle flux
Using field theoretic renormalization, an MBE-type growth process with an
obliquely incident influx of atoms is examined. The projection of the beam on
the substrate plane selects a "parallel" direction, with rotational invariance
restricted to the transverse directions. Depending on the behavior of an
effective anisotropic surface tension, a line of second order transitions is
identified, as well as a line of potentially first order transitions, joined by
a multicritical point. Near the second order transitions and the multicritical
point, the surface roughness is strongly anisotropic. Four different roughness
exponents are introduced and computed, describing the surface in different
directions, in real or momentum space. The results presented challenge an
earlier study of the multicritical point.Comment: 11 pages, 2 figures, REVTeX
Evaluation of Sub-Zonal Airflow Models for the Prediction of Local Interior Boundary Conditions:Natural and Forced Convection Cases
Renormalized field theory of collapsing directed randomly branched polymers
We present a dynamical field theory for directed randomly branched polymers
and in particular their collapse transition. We develop a phenomenological
model in the form of a stochastic response functional that allows us to address
several interesting problems such as the scaling behavior of the swollen phase
and the collapse transition. For the swollen phase, we find that by choosing
model parameters appropriately, our stochastic functional reduces to the one
describing the relaxation dynamics near the Yang-Lee singularity edge. This
corroborates that the scaling behavior of swollen branched polymers is governed
by the Yang-Lee universality class as has been known for a long time. The main
focus of our paper lies on the collapse transition of directed branched
polymers. We show to arbitrary order in renormalized perturbation theory with
-expansion that this transition belongs to the same universality
class as directed percolation.Comment: 18 pages, 7 figure
Multifractal current distribution in random diode networks
Recently it has been shown analytically that electric currents in a random
diode network are distributed in a multifractal manner [O. Stenull and H. K.
Janssen, Europhys. Lett. 55, 691 (2001)]. In the present work we investigate
the multifractal properties of a random diode network at the critical point by
numerical simulations. We analyze the currents running on a directed
percolation cluster and confirm the field-theoretic predictions for the scaling
behavior of moments of the current distribution. It is pointed out that a
random diode network is a particularly good candidate for a possible
experimental realization of directed percolation.Comment: RevTeX, 4 pages, 5 eps figure
Field theory of directed percolation with long-range spreading
It is well established that the phase transition between survival and
extinction in spreading models with short-range interactions is generically
associated with the directed percolation (DP) universality class. In many
realistic spreading processes, however, interactions are long ranged and well
described by L\'{e}vy-flights, i.e., by a probability distribution that decays
in dimensions with distance as . We employ the powerful
methods of renormalized field theory to study DP with such long range,
L\'{e}vy-flight spreading in some depth. Our results unambiguously corroborate
earlier findings that there are four renormalization group fixed points
corresponding to, respectively, short-range Gaussian, L\'{e}vy Gaussian,
short-range DP and L\'{e}vy DP, and that there are four lines in the plane which separate the stability regions of these fixed points. When the
stability line between short-range DP and L\'{e}vy DP is crossed, all critical
exponents change continuously. We calculate the exponents describing L\'{e}vy
DP to second order in -expansion, and we compare our analytical
results to the results of existing numerical simulations. Furthermore, we
calculate the leading logarithmic corrections for several dynamical
observables.Comment: 12 pages, 3 figure
Inhibition of Factor XIa by Antithrombin I11
The inactivation of human factor XIa by human antithrombin III was studied under pseudo-first-order reaction conditions (excess antithrombin III) both in the absence and in the presence of heparin. The time course of inhibition was followed by using polyacrylamide gel electrophoresis in the presence of sodium dodecyl sulfate. After electrophoresis, proteins were blotted onto nitrocellulose and stained either for glycoprotein or for antithrombin III using antibodies against antithrombin III. Concomitant with factor XIa inactivation, two new slower migrating bands, one of which represented the intermediate complex consisting of one antithrombin III complexed with factor XIa, appeared as a transient band. Complete inactivation resulted in a single band representing the complex of factor XIa with two antithrombin III molecules. Quantitative analysis of the time course of inactivation was accomplished by measurement of the disappearance of factor XIa amidolytic activity toward the chromogenic substrate S2366. Pseudo-first-order reaction kinetics were observed throughout. The rate constant of inactivation was found to be 10(3) M-1 s-1 in the absence of heparin and 26.7 X 10(3) M-1 s-1 in the presence of saturating amounts of heparin. From the kinetic data, a binding constant (Kd) of 0.14 microM was inferred for the binding of antithrombin III to heparin. The time course of inactivation and the distribution of the reaction products observed upon gel electrophoresis are best explained assuming a mechanism of inactivation in which the two active sites present in factor XIa are inhibited in random order (i.e., independent of each other) with the same rate constant of inhibition
Random Resistor-Diode Networks and the Crossover from Isotropic to Directed Percolation
By employing the methods of renormalized field theory we show that the
percolation behavior of random resistor-diode networks near the multicritical
line belongs to the universality class of isotropic percolation. We construct a
mesoscopic model from the general epidemic process by including a relevant
isotropy-breaking perturbation. We present a two-loop calculation of the
crossover exponent . Upon blending the -expansion result with
the exact value for one dimension by a rational approximation, we
obtain for two dimensions . This value is in agreement
with the recent simulations of a two-dimensional random diode network by Inui,
Kakuno, Tretyakov, Komatsu, and Kameoka, who found an order parameter exponent
different from those of isotropic and directed percolation.
Furthermore, we reconsider the theory of the full crossover from isotropic to
directed percolation by Frey, T\"{a}uber, and Schwabl and clear up some minor
shortcomings.Comment: 24 pages, 2 figure
The collapse transition of randomly branched polymers -renormalized field theory
We present a minimal dynamical model for randomly branched isotropic
polymers, and we study this model in the framework of renormalized field
theory. For the swollen phase, we show that our model provides a route to
understand the well established dimensional-reduction results from a different
angle. For the collapse -transition, we uncover a hidden
Becchi-Rouet-Stora super-symmetry, signaling the sole relevance of
tree-configurations. We correct the long-standing 1-loop results for the
critical exponents, and we push these results on to 2-loop order. For the
collapse -transition, we find a runaway of the renormalization
group flow, which lends credence to the possibility that this transition is a
fluctuation-induced first-order transition. Our dynamical model allows us to
calculate for the first time the fractal dimension of the shortest path on
randomly branched polymers in the swollen phase as well as at the collapse
transition and related fractal dimensions.Comment: 23 pages, 14 figure
Transport on Directed Percolation Clusters
We study random lattice networks consisting of resistor like and diode like
bonds. For investigating the transport properties of these random resistor
diode networks we introduce a field theoretic Hamiltonian amenable to
renormalization group analysis. We focus on the average two-port resistance at
the transition from the nonpercolating to the directed percolating phase and
calculate the corresponding resistance exponent to two-loop order.
Moreover, we determine the backbone dimension of directed percolation
clusters to two-loop order. We obtain a scaling relation for that is in
agreement with well known scaling arguments.Comment: 4 page
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