2,899 research outputs found
Pore-blockade Times for Field-Driven Polymer Translocation
We study pore blockade times for a translocating polymer of length ,
driven by a field across the pore in three dimensions. The polymer performs
Rouse dynamics, i.e., we consider polymer dynamics in the absence of
hydrodynamical interactions. We find that the typical time the pore remains
blocked during a translocation event scales as ,
where is the Flory exponent for the polymer. In line with our
previous work, we show that this scaling behaviour stems from the polymer
dynamics at the immediate vicinity of the pore -- in particular, the memory
effects in the polymer chain tension imbalance across the pore. This result,
along with the numerical results by several other groups, violates the lower
bound suggested earlier in the literature. We discuss why
this lower bound is incorrect and show, based on conservation of energy, that
the correct lower bound for the pore-blockade time for field-driven
translocation is given by , where is the viscosity of
the medium surrounding the polymer.Comment: 14 pages, 6 figures, slightly shorter than the previous version; to
appear in J. Phys.: Cond. Ma
Asymptotic Scaling of the Diffusion Coefficient of Fluctuating "Pulled" Fronts
We present a (heuristic) theoretical derivation for the scaling of the
diffusion coefficient for fluctuating ``pulled'' fronts. In agreement
with earlier numerical simulations, we find that as ,
approaches zero as , where is the average number of particles per
correlation volume in the stable phase of the front. This behaviour of
stems from the shape fluctuations at the very tip of the front, and is
independent of the microscopic model.Comment: Some minor algebra corrected, to appear in Rapid Comm., Phys. Rev.
Monomer dynamics of a wormlike chain
We derive the stochastic equations of motion for a tracer that is tightly
attached to a semiflexible polymer and confined or agitated by an externally
controlled potential. The generalised Langevin equation, the power spectrum,
and the mean-square displacement for the tracer dynamics are explicitly
constructed from the microscopic equations of motion for a weakly bending
wormlike chain by a systematic coarse-graining procedure. Our accurate
analytical expressions should provide a convenient starting point for further
theoretical developments and for the analysis of various single-molecule
experiments and of protein shape fluctuations.Comment: 6 pages, 4 figure
Fluctuating "Pulled" Fronts: the Origin and the Effects of a Finite Particle Cutoff
Recently it has been shown that when an equation that allows so-called pulled
fronts in the mean-field limit is modelled with a stochastic model with a
finite number of particles per correlation volume, the convergence to the
speed for is extremely slow -- going only as .
In this paper, we study the front propagation in a simple stochastic lattice
model. A detailed analysis of the microscopic picture of the front dynamics
shows that for the description of the far tip of the front, one has to abandon
the idea of a uniformly translating front solution. The lattice and finite
particle effects lead to a ``stop-and-go'' type dynamics at the far tip of the
front, while the average front behind it ``crosses over'' to a uniformly
translating solution. In this formulation, the effect of stochasticity on the
asymptotic front speed is coded in the probability distribution of the times
required for the advancement of the ``foremost bin''. We derive expressions of
these probability distributions by matching the solution of the far tip with
the uniformly translating solution behind. This matching includes various
correlation effects in a mean-field type approximation. Our results for the
probability distributions compare well to the results of stochastic numerical
simulations. This approach also allows us to deal with much smaller values of
than it is required to have the asymptotics to be valid.Comment: 26 pages, 11 figures, to appear in Phys. rev.
Polymers grafted to porous membranes
We study a single flexible chain molecule grafted to a membrane which has
pores of size slightly larger than the monomer size. On both sides of the
membrane there is the same solvent. When this solvent is good, i.e. when the
polymer is described by a self avoiding walk, it can fairly easily penetrate
the membrane, so that the average number of membrane crossings tends, for chain
length , to a positive constant. The average numbers of monomers on
either side of the membrane diverges in this limit, although their ratio
becomes infinite. For a poor solvent, in contrast, the entire polymer is
located, for large , on one side of the membrane. For good and for theta
solvents (ideal polymers) we find scaling laws, whose exponents can in the
latter case be easily understood from the behaviour of random walks.Comment: 4 pages, 6 figure
Anomalous zipping dynamics and forced polymer translocation
We investigate by Monte Carlo simulations the zipping and unzipping dynamics
of two polymers connected by one end and subject to an attractive interaction
between complementary monomers. In zipping, the polymers are quenched from a
high temperature equilibrium configuration to a low temperature state, so that
the two strands zip up by closing up a "Y"-fork. In unzipping, the polymers are
brought from a low temperature double stranded configuration to high
temperatures, so that the two strands separate. Simulations show that the
unzipping time, , scales as a function of the polymer length as , while the zipping is characterized by anomalous dynamics with . This exponent is in good agreement with
simulation results and theoretical predictions for the scaling of the
translocation time of a forced polymer passing through a narrow pore. We find
that the exponent is robust against variations of parameters and
temperature, whereas the scaling of as a function of the driving force
shows the existence of two different regimes: the weak forcing () and strong forcing ( independent of ) regimes. The crossover
region is possibly characterized by a non-trivial scaling in , matching the
prediction of recent theories of polymer translocation. Although the
geometrical setup is different, zipping and translocation share thus the same
type of anomalous dynamics. Systems where this dynamics could be experimentally
investigated are DNA (or RNA) hairpins: our results imply an anomalous dynamics
for the hairpins closing times, but not for the opening times.Comment: 15 pages, 9 figure
Logarithmic perturbation theory for radial Klein-Gordon equation with screened Coulomb potentials via expansions
The explicit semiclassical treatment of logarithmic perturbation theory for
the bound-state problem within the framework of the radial Klein-Gordon
equation with attractive real-analytic screened Coulomb potentials, contained
time-component of a Lorentz four-vector and a Lorentz-scalar term, is
developed. Based upon -expansions and suitable quantization conditions a
new procedure for deriving perturbation expansions is offered. Avoiding
disadvantages of the standard approach, new handy recursion formulae with the
same simple form both for ground and excited states have been obtained. As an
example, the perturbation expansions for the energy eigenvalues for the
Hulth\'en potential containing the vector part as well as the scalar component
are considered.Comment: 14 pages, to be submitted to Journal of Physics
CAUSES OF DISPOSAL OF MURRAH BUFFALO FROM AN ORGANISED HERD
The present study comprised of 602 disposal records of adult Murrah buffaloes , spread over a period of 16 years
from 1985 to 2000 at NDRI, Karnal, Haryana. Analysed data showed that the reproductive problems (38.62),
low milk production (24.01) and udder problems (22.76) were the three major reasons of culling in adult Murrah
buffaloes . The culling of cows due to involuntary reason (reproductive problems, udder problems and locomotive
disorders) accounted for nearly 63.68 percent of total culling in Murrah buffaloes in the NDRI herd. The data
revealed that maximum mortality occurred due to digestive problems accounting for 30.89 percent followed by
cardio-vascular problems (26.02 percent), respiratory problems (21.14 percent), parasitic problems (8.13 percent)
and uro-genital problems (5.69 percent). The results showed that there is a scope for further improvement in
production and reproductive efficiency through better monitoring of reproduction and udder health status of the
buffaloes. The high involuntary culling rate not only makes the dairy enterprises economically less profitable but
also reduces the genetic improvement by lowering the selection differential for milk production
The Weakly Pushed Nature of "Pulled" Fronts with a Cutoff
The concept of pulled fronts with a cutoff has been introduced to
model the effects of discrete nature of the constituent particles on the
asymptotic front speed in models with continuum variables (Pulled fronts are
the fronts which propagate into an unstable state, and have an asymptotic front
speed equal to the linear spreading speed of small linear perturbations
around the unstable state). In this paper, we demonstrate that the introduction
of a cutoff actually makes such pulled fronts weakly pushed. For the nonlinear
diffusion equation with a cutoff, we show that the longest relaxation times
that govern the convergence to the asymptotic front speed and profile,
are given by , for
.Comment: 4 pages, 2 figures, submitted to Brief Reports, Phys. Rev.
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