3,209 research outputs found
An all-optical event horizon in an optical analogue of a Laval nozzle
Exploiting the fact that light propagation in defocusing nonlinear media can
mimic the transonic flow of an equivalent fluid, we demonstrate experimentally
the formation of an all-optical event horizon in a waveguide structure akin to
a hydrodynamic Laval nozzle. The analogue event horizon, which forms at the
nozzle throat is suggested as a novel platform for analogous gravity
experiments
Anomalous mass dependence of radiative quark energy loss in a finite-size quark-gluon plasma
We demonstrate that for a finite-size quark-gluon plasma the induced gluon
radiation from heavy quarks is stronger than that for light quarks when the
gluon formation length becomes comparable with (or exceeds) the size of the
plasma. The effect is due to oscillations of the light-cone wave function for
the in-medium transition. The dead cone model by Dokshitzer and
Kharzeev neglecting quantum finite-size effects is not valid in this regime.
The finite-size effects also enhance the photon emission from heavy quarks.Comment: 8 pages, 3 figure
Base pair opening and bubble transport in a DNA double helix induced by a protein molecule in a viscous medium
We study the nonlinear dynamics of a protein-DNA molecular system by treating
DNA as a set of two coupled linear chains and protein in the form of a single
linear chain sliding along the DNA at the physiological temperature in a
viscous medium. The nonlinear dynamics of the above molecular system in general
is governed by a perturbed nonlinear Schr\"{o}dinger equation. In the
non-viscous limit, the equation reduces to the completely integrable nonlinear
Schr\"{o}dinger (NLS) equation which admits N-soliton solutions. The soliton
excitations of the DNA bases make localized base pair opening and travel along
the DNA chain in the form of a bubble. This may represent the bubble generated
during the transcription process when an RNA-polymerase binds to a promoter
site in the DNA double helical chain. The perturbed NLS equation is solved
using a perturbation theory by treating the viscous effect due to surrounding
as a weak perturbation and the results show that the viscosity of the solvent
in the surrounding damps out the amplitude of the soliton.Comment: 4. Submitted to Phys. Rev.
Weak Wave Turbulence Scaling Theory for Diffusion and Relative Diffusion in Turbulent Surface Waves
We examine the applicability of the weak wave turbulence theory in explaining
experimental scaling results obtained for the diffusion and relative diffusion
of particles moving on turbulent surface waves. For capillary waves our
theoretical results are shown to be in good agreement with experimental
results, where a distinct crossover in diffusive behavior is observed at the
driving frequency. For gravity waves our results are discussed in the light of
ocean wave studies.Comment: 5 pages; for related work visit http://www.imedea.uib.es/~victo
Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction potential
We consider dynamics of Bose-Einstein condensates with long-range attractive
interaction proportional to and arbitrary angular dependence. It is
shown exactly that collapse of Bose-Einstein condensate without contact
interactions is possible only for . Case is critical and requires
number of particles to exceed critical value to allow collapse. Critical
collapse in that case is strong one trapping into collapsing region a finite
number of particles.
Case is supercritical with expected weak collapse which traps rapidly
decreasing number of particles during approach to collapse. For
singularity at is not strong enough to allow collapse but attractive
interaction admits stable self-trapping even in absence of external
trapping potential
Induced photon emission from quark jets in ultrarelativistic heavy-ion collisions
We study the induced photon bremsstrahlung from a fast quark produced in
AA-collisions due to multiple scattering in quark-gluon plasma. For RHIC and
LHC conditions the induced photon spectrum is sharply peaked at photon energy
close to the initial quark energy. In this region the contribution of the
induced radiation to the photon fragmentation function exceeds the ordinary
vacuum radiation. Contrary to previous analyses our results show that at RHIC
and LHC energies the final-state interaction effects in quark-gluon plasma do
not suppress the direct photon production, and even may enhance it at p_{T}
about 5-15 GeV.Comment: 11 pages, 4 figure
Stability of Bose-Einstein Condensates Confined in Traps
Bose-Einstein condensation has been realized in dilute atomic vapors. This
achievement has generated immerse interest in this field. Presented is a review
of recent theoretical research into the properties of trapped dilute-gas
Bose-Einstein condensates. Among them, stability of Bose-Einstein condensates
confined in traps is mainly discussed. Static properties of the ground state
are investigated by use of the variational method. The anlysis is extended to
the stability of two-component condensates. Time-development of the condensate
is well-described by the Gross-Pitaevskii equation which is known in nonlinear
physics as the nonlinear Schr\"odinger equation. For the case that the
inter-atomic potential is effectively attractive, a singularity of the solution
emerges in a finite time. This phenomenon which we call collapse explains the
upper bound for the number of atoms in such condensates under traps.Comment: 74 pages with 12 figures, submitted to the review section of
International Journal of Modern Physics
Dark solitons as quasiparticles in trapped condensates
We present a theory of dark soliton dynamics in trapped quasi-one-dimensional
Bose-Einstein condensates, which is based on the local density approximation.
The approach is applicable for arbitrary polynomial nonlinearities of the
mean-field equation governing the system as well as to arbitrary polynomial
traps. In particular, we derive a general formula for the frequency of the
soliton oscillations in confining potentials. A special attention is dedicated
to the study of the soliton dynamics in adiabatically varying traps. It is
shown that the dependence of the amplitude of oscillations {\it vs} the trap
frequency (strength) is given by the scaling law
where the exponent depends on the type of the two-body interactions,
on the exponent of the polynomial confining potential, on the density of the
condensate and on the initial soliton velocity. Analytical results obtained
within the framework of the local density approximation are compared with the
direct numerical simulations of the dynamics, showing remarkable match. Various
limiting cases are addressed. In particular for the slow solitons we computed a
general formula for the effective mass and for the frequency of oscillations.Comment: 16 pages, 4 figures. To appear in Phys. Rev.
Statistical Description of Acoustic Turbulence
We develop expressions for the nonlinear wave damping and frequency
correction of a field of random, spatially homogeneous, acoustic waves. The
implications for the nature of the equilibrium spectral energy distribution are
discussedComment: PRE, Submitted. REVTeX, 16 pages, 3 figures (not included) PS Source
of the paper with figures avalable at
http://lvov.weizmann.ac.il/onlinelist.htm
Partially integrable systems in multidimensions by a variant of the dressing method. 1
In this paper we construct nonlinear partial differential equations in more
than 3 independent variables, possessing a manifold of analytic solutions with
high, but not full, dimensionality. For this reason we call them ``partially
integrable''. Such a construction is achieved using a suitable modification of
the classical dressing scheme, consisting in assuming that the kernel of the
basic integral operator of the dressing formalism be nontrivial. This new
hypothesis leads to the construction of: 1) a linear system of compatible
spectral problems for the solution of the integral equation in 3
independent variables each (while the usual dressing method generates spectral
problems in 1 or 2 dimensions); 2) a system of nonlinear partial differential
equations in dimensions (), possessing a manifold of analytic
solutions of dimension (), which includes one largely arbitrary relation
among the fields. These nonlinear equations can also contain an arbitrary
forcing.Comment: 21 page
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