5,676 research outputs found
Helicase activity on DNA as a propagating front
We develop a propagating front analysis, in terms of a local probability of
zipping, for the helicase activity of opening up a double stranded DNA (dsDNA).
In a fixed-distance ensemble (conjugate to the fixed-force ensemble) the front
separates the zipped and unzipped phases of a dsDNA and a drive acts locally
around the front. Bounds from variational analysis and numerical estimates for
the speed of a helicase are obtained. Different types of helicase behaviours
can be distinguished by the nature of the drive.Comment: 5 pages, 5 eps figures; replaced by the published versio
Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics
We use renormalization group to calculate the reunion and survival exponents
of a set of random walkers interacting with a long range and a short
range interaction. These exponents are used to study the binding-unbinding
transition of polymers and the behavior of several quantum problems.Comment: Revtex 3.1, 9 pages (two-column format), 3 figures. Published version
(PRE 63, 051103 (2001)). Reference corrections incorporated (PRE 64, 059902
(2001) (E
Nonequilibrium tricriticality in one dimension
We show the existence of a nonequilibrium tricritical point induced by a
repulsive interaction in one dimensional asymmetric exclusion process. The
tricritical point is associated with the particle-hole symmetry breaking
introduced by the repulsion. The phase diagram and the crossover in the
neighbourhood of the tricritical point for the shock formation at one of the
boundaries are determined.Comment: 6 pages; 4 figure
Reduced magnetohydrodynamic theory of oblique plasmoid instabilities
The three-dimensional nature of plasmoid instabilities is studied using the
reduced magnetohydrodynamic equations. For a Harris equilibrium with guide
field, represented by \vc{B}_o = B_{po} \tanh (x/\lambda) \hat{y} + B_{zo}
\hat{z}, a spectrum of modes are unstable at multiple resonant surfaces in the
current sheet, rather than just the null surface of the polodial field , which is the only resonant surface in 2D or in
the absence of a guide field. Here is the asymptotic value of the
equilibrium poloidal field, is the constant equilibrium guide field,
and is the current sheet width. Plasmoids on each resonant surface
have a unique angle of obliquity . The resonant
surface location for angle is x_s = - \lambda \arctanh (\tan \theta
B_{zo}/B_{po}), and the existence of a resonant surface requires . The most unstable angle is oblique, i.e. and , in the constant- regime, but parallel, i.e.
and , in the nonconstant- regime. For a fixed angle
of obliquity, the most unstable wavenumber lies at the intersection of the
constant- and nonconstant- regimes. The growth rate of this mode is
, in which
, is the Alfv\'{e}n speed, is the current sheet
length, and is the Lundquist number. The number of plasmoids scales as .Comment: 9 pages, 8 figures, to be published in Physics of Plasma
Scaling of fluctuation for Directed polymers with random interaction
Using a finite size scaling form for reunion probability, we show numerically
the existence of a binding-unbinding transition for Directed polymers with
random interaction. The cases studied are (A1) two chains in 1+1 dimensions,
(A2) two chains in 2+1 dimensions and (B) three chains in 1+1 dimensions. A
similar finite size scaling form for fluctuation establishes a disorder induced
transition with identical exponents for cases A2 and B. The length scale
exponents in all the three cases are in agreement with previous exact
renormalization group results.Comment: Revtex, 4 postscript figures available on request (email:
[email protected]); To appear in J. Phys. A Letter
Theory of tricriticality for miscut surfaces
We propose a theory for the observed tricriticality in the orientational
phase diagram of Si(113) misoriented towards [001]. The systems seems to be at
or close to a very special point for long range interactions.Comment: Revtex, 1 ps figur
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