33,736 research outputs found
Interaction of moving breathers with an impurity
We analyze the influence of an impurity in the evolution of moving discrete
breathers in a Klein--Gordon chain with non-weak nonlinearity. Three different
behaviours can be observed when moving breathers interact with the impurity:
they pass through the impurity continuing their direction of movement; they are
reflected by the impurity; they are trapped by the impurity, giving rise to
chaotic breathers. Resonance with a breather centred at the impurity site is
conjectured to be a necessary condition for the appearance of the trapping
phenomenon.Comment: 4 pages, 2 figures, Proceedings of the Third Conference, San Lorenzo
De El Escorial, Spain 17-21 June 200
Modeling the thermal evolution of enzyme-created bubbles in DNA
The formation of bubbles in nucleic acids (NAs) are fundamental in many
biological processes such as DNA replication, recombination, telomeres
formation, nucleotide excision repair, as well as RNA transcription and
splicing. These precesses are carried out by assembled complexes with enzymes
that separate selected regions of NAs. Within the frame of a nonlinear dynamics
approach we model the structure of the DNA duplex by a nonlinear network of
coupled oscillators. We show that in fact from certain local structural
distortions there originate oscillating localized patterns, that is radial and
torsional breathers, which are associated with localized H-bond deformations,
being reminiscent of the replication bubble. We further study the temperature
dependence of these oscillating bubbles. To this aim the underlying nonlinear
oscillator network of the DNA duplex is brought in contact with a heat bath
using the Nos-Hoover-method. Special attention is paid to the
stability of the oscillating bubbles under the imposed thermal perturbations.
It is demonstrated that the radial and torsional breathers, sustain the impact
of thermal perturbations even at temperatures as high as room temperature.
Generally, for nonzero temperature the H-bond breathers move coherently along
the double chain whereas at T=0 standing radial and torsional breathers result.Comment: 19 pages, 7 figure
On the Stability of Stochastic Parametrically Forced Equations with Rank One Forcing
We derive simplified formulas for analyzing the stability of stochastic
parametrically forced linear systems. This extends the results in [T. Blass and
L.A. Romero, SIAM J. Control Optim. 51(2):1099--1127, 2013] where, assuming the
stochastic excitation is small, the stability of such systems was computed
using a weighted sum of the extended power spectral density over the
eigenvalues of the unperturbed operator. In this paper, we show how to convert
this to a sum over the residues of the extended power spectral density. For
systems where the parametric forcing term is a rank one matrix, this leads to
an enormous simplification.Comment: 16 page
On the spectral shift and the time delay of light in a Rindler accelerated frame
We discuss two effects predicted by the general theory of relativity in the
context of Rindler accelerated observers: the gravitational spectral shift and
the time delay of light. We show that these effects also appear in a Rindler
frame in the absence of gravitational field, in accordance with the Einstein's
equivalence principle.Comment: 12 pages, 3 figure
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