2,708 research outputs found
Stochastic self-assembly of incommensurate clusters
We examine the classic problem of homogeneous nucleation and growth by
deriving and analyzing a fully discrete stochastic master equation. Upon
comparison with results obtained from the corresponding mean-field
Becker-D\"{o}ring equations we find striking differences between the two
corresponding equilibrium mean cluster concentrations. These discrepancies
depend primarily on the divisibility of the total available mass by the maximum
allowed cluster size, and the remainder. When such mass incommensurability
arises, a single remainder particle can "emulsify" or "disperse" the system by
significantly broadening the mean cluster size distribution. This finite-sized
broadening effect is periodic in the total mass of the system and can arise
even when the system size is asymptotically large, provided the ratio of the
total mass to the maximum cluster size is finite. For such finite ratios we
show that homogeneous nucleation in the limit of large, closed systems is not
accurately described by classical mean-field mass-action approaches.Comment: 5 pages, 4 figures, 1 tabl
Microwave steam explosion and enzymatic hydrolysis of vine-branch
Our research target was to utilise vine-branch, existing in huge amounts, for energetic purposes. During our experiments, microwave (MW) treatments of different powers (400â1600 W), pressures (1â5 bar), temperatures (120â180 °C), and treatment times (3â30 min) were applied to change the physical condition of vine-branch. After MW, enzymatic hydrolysis (EH) was used (85â100 h, 37 °C). In addition, beside MW, comparisons were made regarding various treatment methods: untreated (UTE), cooking plate (CP), and autoclave (AC), to determine to what extent they affect the final glucose yield. This yield can even further be increased by MW pre-treatment (50 W, 3â30 min, 40 °C) of the enzyme used during the hydrolysis, which reinforces the argument that enzyme activity can be increased by irradiation. A difference of 22.1% was detected among the glucose yield values in untreated and treated enzyme processes
Time-Dependent Density Functional Theory for Driven Lattice Gas Systems with Interactions
We present a new method to describe the kinetics of driven lattice gases with
particle-particle interactions beyond hard-core exclusions. The method is based
on the time-dependent density functional theory for lattice systems and allows
one to set up closed evolution equations for mean site occupation numbers in a
systematic manner. Application of the method to a totally asymmetric site
exclusion process with nearest-neighbor interactions yields predictions for the
current-density relation in the bulk, the phase diagram of non-equilibrium
steady states and the time evolution of density profiles that are in good
agreement with results from kinetic Monte Carlo simulations.Comment: 11 pages, 3 figure
The triple-mode pulsating variable V823 Cas
Based on extended multicolour CCD photometry of the triple-mode radial
pulsator V823 Cas we studied the properties of the coupling frequencies invoked
by nonlinear processes. Our results support that a resonance connection as
suggested by Antonello & Aikawa (1998) affects the mode coupling behaviour. The
P1/P0 period ratio of V823 Cas has an "out of range" value if compared with the
period ratios of the known double mode pulsators, while the P2/P1 period ratio
is normal. The periods and period ratios cannot be consistently interpret
without conflict with pulsation and/or evolution models. We attempt to
interpret this failure by the suggestion that at present, the periods of V823
Cas are in a transient, resonance affected state, thus do not reflect the true
parameters of the object. The anomalous period change behaviour of the
fundamental and second overtone modes supports this idea. We have also raised
the possibility that a f0 + f2 = 2f1 resonance may act in triple mode
pulsators.Comment: 10 pages, 7 figures, 5 tables. Accepted for publication in Astronomy
and Astrophysic
Escape of a Uniform Random Walk from an Interval
We study the first-passage properties of a random walk in the unit interval
in which the length of a single step is uniformly distributed over the finite
range [-a,a]. For a of the order of one, the exit probabilities to each edge of
the interval and the exit time from the interval exhibit anomalous properties
stemming from the change in the minimum number of steps to escape the interval
as a function of the starting point. As a decreases, first-passage properties
approach those of continuum diffusion, but non-diffusive effects remain because
of residual discreteness effectsComment: 8 pages, 8 figures, 2 column revtex4 forma
Distribution of dwell times of a ribosome: effects of infidelity, kinetic proofreading and ribosome crowding
Ribosome is a molecular machine that polymerizes a protein where the sequence
of the amino acid residues, the monomers of the protein, is dictated by the
sequence of codons (triplets of nucleotides) on a messenger RNA (mRNA) that
serves as the template. The ribosome is a molecular motor that utilizes the
template mRNA strand also as the track. Thus, in each step the ribosome moves
forward by one codon and, simultaneously, elongates the protein by one amino
acid. We present a theoretical model that captures most of the main steps in
the mechano-chemical cycle of a ribosome. The stochastic movement of the
ribosome consists of an alternating sequence of pause and translocation; the
sum of the durations of a pause and the following translocation is the time of
dwell of the ribosome at the corresponding codon. We derive the analytical
expression for the distribution of the dwell times of a ribosome in our model.
Whereever experimental data are available, our theoretical predictions are
consistent with those results. We suggest appropriate experiments to test the
new predictions of our model, particularly, the effects of the quality control
mechanism of the ribosome and that of their crowding on the mRNA track.Comment: This is an author-created, un-copyedited version of an article
accepted for publication in Physical Biology. IOP Publishing Ltd is not
responsible for any errors or omissions in this version of the manuscript or
any version derived from it. The definitive publisher authenticated version
is available online at DOI:10.1088/1478-3975/8/2/02600
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