879 research outputs found
Energy Localization in the Peyrard-Bishop DNA model
We study energy localization on the oscillator-chain proposed by Peyrard and
Bishop to model the DNA. We search numerically for conditions with initial
energy in a small subgroup of consecutive oscillators of a finite chain and
such that the oscillation amplitude is small outside this subgroup for a long
timescale. We use a localization criterion based on the information entropy and
we verify numerically that such localized excitations exist when the nonlinear
dynamics of the subgroup oscillates with a frequency inside the reactive band
of the linear chain. We predict a mimium value for the Morse parameter (the only parameter of our normalized model), in agreement with the
numerical calculations (an estimate for the biological value is ).
For supercritical masses, we use canonical perturbation theory to expand the
frequencies of the subgroup and we calculate an energy threshold in agreement
with the numerical calculations
Bubble generation in a twisted and bent DNA-like model
The DNA molecule is modeled by a parabola embedded chain with long-range
interactions between twisted base pair dipoles. A mechanism for bubble
generation is presented and investigated in two different configurations. Using
random normally distributed initial conditions to simulate thermal
fluctuations, a relationship between bubble generation, twist and curvature is
established. An analytical approach supports the numerical results.Comment: 7 pages, 8 figures. Accepted for Phys. Rev. E (in press
Competition for hydrogen bond formation in the helix-coil transition and protein folding
The problem of the helix-coil transition of biopolymers in explicit solvents,
like water, with the ability for hydrogen bonding with solvent is addressed
analytically using a suitably modified version of the Generalized Model of
Polypeptide Chains. Besides the regular helix-coil transition, an additional
coil-helix or reentrant transition is also found at lower temperatures. The
reentrant transition arises due to competition between polymer-polymer and
polymer-water hydrogen bonds. The balance between the two types of hydrogen
bonding can be shifted to either direction through changes not only in
temperature, but also by pressure, mechanical force, osmotic stress or other
external influences. Both polypeptides and polynucleotides are considered
within a unified formalism. Our approach provides an explanation of the
experimental difficulty of observing the reentrant transition with pressure;
and underscores the advantage of pulling experiments for studies of DNA.
Results are discussed and compared with those reported in a number of recent
publications with which a significant level of agreement is obtained.Comment: 21 pages, 3 figures, submitted to Phys Rev
Control and display panel design Research report, 8 Jul. - 5 Sep. 1967
Revised design guidelines and specifications for Apollo telescope mount control and display consol
Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators
We consider a curved chain of nonlinear oscillators and show that the
interplay of curvature and nonlinearity leads to a number of qualitative
effects. In particular, the energy of nonlinear localized excitations centered
on the bending decreases when curvature increases, i.e. bending manifests
itself as a trap for excitations. Moreover, the potential of this trap is
double-well, thus leading to a symmetry breaking phenomenon: a symmetric
stationary state may become unstable and transform into an energetically
favorable asymmetric stationary state. The essentials of symmetry breaking are
examined analytically for a simplified model. We also demonstrate a threshold
character of the scattering process, i.e. transmission, trapping, or reflection
of the moving nonlinear excitation passing through the bending.Comment: 13 pages (LaTeX) with 10 figures (EPS
Reversible Metal-Semiconductor Transition of ssDNA-Decorated Single-Walled Carbon Nanotubes
A field effect transistor (FET) measurement of a SWNT shows a transition from
a metallic one to a p-type semiconductor after helical wrapping of DNA. Water
is found to be critical to activate this metal-semiconductor transition in the
SWNT-ssDNA hybrid. Raman spectroscopy confirms the same change in electrical
behavior. According to our ab initio calculations, a band gap can open up in a
metallic SWNT with wrapped ssDNA in the presence of water molecules due to
charge transfer.Comment: 13 pages, 6 figure
Numerical Calculations of the B1g Raman Spectrum of the Two-Dimensional Heisenberg Model
The B1g Raman spectrum of the two-dimensional S=1/2 Heisenberg model is
discussed within Loudon-Fleury theory at both zero and finite temperature. The
exact T=0 spectrum for lattices with up to 6*6 sites is computed using Lanczos
exact diagonalization. A quantum Monte Carlo (QMC) method is used to calculate
the corresponding imaginary-time correlation function and its first two
derivatives for lattices with up to 16*16 spins. The imaginary-time data is
continued to real frequency using the maximum-entropy method, as well as a fit
based on spinwave theory. The numerical results are compared with spinwave
calculations for finite lattices. There is a surprisingly large change in the
exact spectrum going from 4*4 to 6*6 sites. In the former case there is a
single dominant two-magnon peak at frequency w/J appr. 3.0, whereas in the
latter case there are two approximately equal-sized peaks at w/J appr. 2.7 and
3.9. This is in good qualitative agreement with the spinwave calculations
including two-magnon processes on the same lattices. Both the Lanczos and the
QMC results indicate that the actual infinite-size two-magnon profile is
broader than the narrow peak obtained in spinwave theory, but the positions of
the maxima agree to within a few percent. The higher-order contributions
present in the numerical results are merged with the two-magnon profile and
extend up to frequencies w/J appr. 7. The first three frequency cumulants of
the spectrum are in excellent agreement with results previously obtained from a
series expansion around the Ising limit. Typical experimental B1g$ spectra for
La2CuO4 are only slightly broader than what we obtain here. The exchange
constant extracted from the peak position is J appr. 1400K, in good agreement
with values obtained from neutron scattering and NMR experiments.Comment: 15 pages, Revtex, 13 PostScript figure
Attraction between DNA molecules mediated by multivalent ions
The effective force between two parallel DNA molecules is calculated as a
function of their mutual separation for different valencies of counter- and
salt ions and different salt concentrations. Computer simulations of the
primitive model are used and the shape of the DNA molecules is accurately
modelled using different geometrical shapes. We find that multivalent ions
induce a significant attraction between the DNA molecules whose strength can be
tuned by the averaged valency of the ions. The physical origin of the
attraction is traced back either to electrostatics or to entropic
contributions. For multivalent counter- and monovalent salt ions, we find a
salt-induced stabilization effect: the force is first attractive but gets
repulsive for increasing salt concentration. Furthermore, we show that the
multivalent-ion-induced attraction does not necessarily correlate with DNA
overcharging.Comment: 51 pages and 13 figure
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