120 research outputs found
Rogue waves in a two-component Manakov system with variable coefficients and an external potential
We construct rogue waves (RWs) in a coupled two-mode system with the
self-focusing nonlinearity of the Manakov type (equal SPM and XPM
coefficients), spatially modulated coefficients, and a specially designed
external potential. The system may be realized in nonlinear optics and
Bose-Einstein condensates. By means of a similarity transformation, we
establish a connection between solutions of the coupled Manakov system with
spatially-variable coefficients and the basic Manakov model with constant
coefficients. Exact solutions in the form of two-component Peregrine and
dromion waves are obtained. The RW dynamics is analyzed for different choices
of parameters in the underlying parameter space. Different classes of RW
solutions are categorized by means of a naturally introduced control parameter
which takes integer values.Comment: 9 pages, 5 figure
Self-trapped bidirectional waveguides in a saturable photorefractive medium
We introduce a time-dependent model for the generation of joint solitary
waveguides by counter-propagating light beams in a photorefractive crystal.
Depending on initial conditions, beams form stable steady-state structures or
display periodic and irregular temporal dynamics. The steady-state solutions
are non-uniform in the direction of propagation and represent a general class
of self-trapped waveguides, including counterpropagating spatial vector
solitons as a particular case.Comment: 4 pages, 5 figure
Anatomy of the Akhmediev breather: Cascading instability, first formation time, and Fermi-Pasta-Ulam recurrence
By invoking Bogoliubov's spectrum, we show that for the nonlinear
Schrodinger equation, the modulation instability (MI) of its n = 1 Fourier
mode on a finite background automatically triggers a further cascading
instability, forcing all the higher modes to grow exponentially in locked-step
with the n = 1 mode. This fundamental insight, the enslavement of all higher
modes to the n = 1 mode, explains the formation of a triangular-shaped spectrum
which generates the Akhmediev breather, predicts its formation time
analytically from the initial modulation amplitude, and shows that the
Fermi-Pasta-Ulam (FPU) recurrence is just a matter of energy conservation with
a period twice the breather's formation time. For higher order MI with more
than one initial unstable modes, while most evolutions are expected to be
chaotic, we show that it is possible to have isolated cases of
"super-recurrence", where the FPU period is much longer than that of a single
unstable mode.Comment: 23 pages, 12 figure
Effect of degree of lipomobilization on results of glucose test in dairy cows in heat stress
Cows exposed to heat stress exhibit a decreased ability to mobilize lipids
due to increased sensitivity to insulin, which is expressed in a decreased
concentration of NEFA. However, certain cows can preserve the level of lipid
mobilization after adapting to heat stress. We assumed that cows that have a
preserved ability to mobilize lipids are less sensitive to insulin and that
they have a lower tolerance for glucose. The aim of this work was to compare
the results of an intravenous glucose tolerance test in cows that exhibited,
in prolonged heat stress, a decreased (NEFA<0.20 mmol/l) or preserved
(NEFA>0.30 mmol/l) ability for lipid mobilization. Glucose concentration and
NEFA concentration were measured following intravenous application of
glucose. The mean glycaemic index value did not differ statistically
significantly between the two groups of cows at 10, 15 and 20 minutes after
glucose application (p>0.05), but there was a tendency at 10 and 15 minutes
for the glycaemia to be higher in cows with preserved lipomobilization
(p<0.1). At 30, 60 and 90 minutes after glucose application, glycaemia was
statistically significantly higher (p<0.01; p<0.05 and p<0.05) in the group
of cows with preserved lipomobilization. The glycaemic index values (mmol/l)
shown in the same order (30, 60 and 90 minutes) were as follows 9.91±0.21:
9.23±0.41; 5.41±0.5: 4.67±0.33 and 4.31±0.39: 3.47±0.37. The mean value for
NEFA concentration in samples originating from the two experimental groups of
cows did not differ statistically significantly following glucose
application. The NEFA concentration showed a tendency to be higher in cows
with preserved lipid mobilization in comparison with cows with decreased
lipomobilization at 20 and 30 minutes after glucose application (p<0.1).
Following the intravenous glucose tolerance test, NEFA and glucose
concentrations were in a significant negative correlation, and that
correlation was more expressed in cows with decreased lipomobilization. Cows
with preserved lipomobilization have a lower tolerance for glucose than cows
with a decreased lipomobilization during heat stress. [Projekat Ministarstva
nauke Republike Srbije, br. TR 31062
Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
In this and subsequent paper arXiv:1011.5185 we develop a recursive approach
for calculating the short-time expansion of the propagator for a general
quantum system in a time-dependent potential to orders that have not yet been
accessible before. To this end the propagator is expressed in terms of a
discretized effective potential, for which we derive and analytically solve a
set of efficient recursion relations. Such a discretized effective potential
can be used to substantially speed up numerical Monte Carlo simulations for
path integrals, or to set up various analytic approximation techniques to study
properties of quantum systems in time-dependent potentials. The analytically
derived results are numerically verified by treating several simple models.Comment: 29 pages, 5 figure
Extra Dimensions: A View from the Top
In models with compact extra dimensions, where the Standard Model fields are
confined to a 3+1 dimensional hyperplane, the production
cross-section at a hadron collider can receive significant contributions from
multiple exchange of KK modes of the graviton. These are carefully computed in
the well-known ADD and RS scenarios, taking the energy dependence of the sum
over graviton propagators into account. Using data from Run-I of the Tevatron,
95% C.L. bounds on the parameter space of both models are derived. For Run-II
of the Tevatron and LHC, discovery limits are estimated.Comment: Typos corrected, references added. 12 pages, LaTeX, 2 ps figure
Rogue waves in a two-component Manakov system with variable coefficients and an external potential
Correction: automated assessment of redox potentials for dyes in dye-sensitized photoelectrochemical cells
Correction for 'Automated assessment of redox potentials for dyes in dye-sensitized photoelectrochemical cells' by Jelena Belić et al., Phys. Chem. Chem. Phys., 2022, 24, 197-210, https://doi.org/10.1039/D1CP04218A.NWO733.000.007Solid state NMR/Biophysical Organic Chemistr
- …