256 research outputs found
Lipid droplet detection by the cavity perturbation method
There are currently no point-of-care diagnosis strategies available to indicate the presence of neoplasmic growth. This research aims to develop a novel diagnostic strategy based on detecting TAG accumulation in cells. This element of the research is a preliminary experiment to prove the concept of detecting TAG lipid droplets in YEPD media. It was found that a change in mono-unsaturated concentration can be detected by the frequency shift in a resonant cavity. The dielectric constant of TAG vegetable oils was calculated at 2.34-2.39. It was also found that concentrations of lipid droplet can be differentiated up to 5% (v/v)
Equation of the field lines of an axisymmetric multipole with a source surface
Optical spectropolarimeters can be used to produce maps of the surface magnetic fields of stars and hence to determine how stellar magnetic fields vary with stellar mass, rotation rate, and evolutionary stage. In particular, we now can map the surface magnetic fields of forming solar-like stars, which are still contracting under gravity and are surrounded by a disk of gas and dust. Their large scale magnetic fields are almost dipolar on some stars, and there is evidence for many higher order multipole field components on other stars. The availability of new data has renewed interest in incorporating multipolar magnetic fields into models of stellar magnetospheres. I describe the basic properties of axial multipoles of arbitrary degree ℓ and derive the equation of the field lines in spherical coordinates. The spherical magnetic field components that describe the global stellar field topology are obtained analytically assuming that currents can be neglected in the region exterior to the star, and interior to some fixed spherical equipotential surface. The field components follow from the solution of Laplace’s equation for the magnetostatic potential
Multiscale theory of turbulence in wavelet representation
We present a multiscale description of hydrodynamic turbulence in
incompressible fluid based on a continuous wavelet transform (CWT) and a
stochastic hydrodynamics formalism. Defining the stirring random force by the
correlation function of its wavelet components, we achieve the cancellation of
loop divergences in the stochastic perturbation expansion. An extra
contribution to the energy transfer from large to smaller scales is considered.
It is shown that the Kolmogorov hypotheses are naturally reformulated in
multiscale formalism. The multiscale perturbation theory and statistical
closures based on the wavelet decomposition are constructed.Comment: LaTeX, 27 pages, 3 eps figure
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
Notes about Passive Scalar in Large-Scale Velocity Field
We consider advection of a passive scalar theta(t,r) by an incompressible
large-scale turbulent flow. In the framework of the Kraichnan model the whole
PDF's (probability distribution functions) for the single-point statistics of
theta and for the passive scalar difference theta(r_1)-theta(r_2) (for
separations r_1-r_2 lying in the convective interval) are found.Comment: 19 pages, RevTe
Circulation Statistics in Three-Dimensional Turbulent Flows
We study the large limit of the loop-dependent characteristic
functional , related
to the probability density function (PDF) of the circulation around a closed
contour . The analysis is carried out in the framework of the
Martin-Siggia-Rose field theory formulation of the turbulence problem, by means
of the saddle-point technique. Axisymmetric instantons, labelled by the
component of the strain field -- a partially annealed variable in
our formalism -- are obtained for a circular loop in the plane, with
radius defined in the inertial range. Fluctuations of the velocity field around
the saddle-point solutions are relevant, leading to the lorentzian asymptotic
behavior . The
subleading correction and the asymmetry between right and left PDF tails due to
parity breaking mechanisms are also investigated.Comment: Computations are discussed in a more detailed way; accepted for
publication in Physical Review
Diagrammar In Classical Scalar Field Theory
In this paper we analyze perturbatively a g phi^4 classical field theory with
and without temperature. In order to do that, we make use of a path-integral
approach developed some time ago for classical theories. It turns out that the
diagrams appearing at the classical level are many more than at the quantum
level due to the presence of extra auxiliary fields in the classical formalism.
We shall show that several of those diagrams cancel against each other due to a
universal supersymmetry present in the classical path integral mentioned above.
The same supersymmetry allows the introduction of super-fields and
super-diagrams which considerably simplify the calculations and make the
classical perturbative calculations almost "identical" formally to the quantum
ones. Using the super-diagrams technique we develop the classical perturbation
theory up to third order. We conclude the paper with a perturbative check of
the fluctuation-dissipation theorem.Comment: 67 pages. Improvements inserted in the third order calculation
Dynamic Fluctuation Phenomena in Double Membrane Films
Dynamics of double membrane films is investigated in the long-wavelength
limit including the overdamped squeezing mode. We demonstrate that thermal
fluctuations essentially modify the character of the mode due to its nonlinear
coupling to the transversal shear hydrodynamic mode. The corresponding Green
function acquires as a function of the frequency a cut along the imaginary
semi-axis. Fluctuations lead to increasing the attenuation of the squeezing
mode it becomes larger than the `bare' value.Comment: 7 pages, Revte
Holographic mesons in various dimensions
We calculate the spectrum of fluctuations of a probe Dk-brane in the
background of N Dp-branes, for k=p,p+2,p+4 and p< 5. The result corresponds to
the mesonic spectrum of a (p+1)-dimensional super-Yang-Mills (SYM) theory
coupled to `dynamical quarks', i.e., fields in the fundamental representation
-- the latter are confined to a defect for k=p and p+2. We find a universal
behaviour where the spectrum is discrete and the mesons are deeply bound. The
mass gap and spectrum are set by the scale M ~ m_q/g_{eff}(m_q), where m_q is
the mass of the fundamental fields and g_{eff}(m_q) is the effective coupling
evaluated at the quark mass, i.e. g_{eff}^2(m_q)=g_{ym}^2 N m_q^{p-3}. We
consider the evolution of the meson spectra into the far infrared of
three-dimensional SYM, where the gravity dual lifts to M-theory. We also argue
that the mass scale appearing in the meson spectra is dictated by holography.Comment: 44 pages, 2 figures; v2: typos corrected, references adde
Exact Resummations in the Theory of Hydrodynamic Turbulence: I The Ball of Locality and Normal Scaling
This paper is the first in a series of three papers that aim at understanding
the scaling behaviour of hydrodynamic turbulence. We present in this paper a
perturbative theory for the structure functions and the response functions of
the hydrodynamic velocity field in real space and time. Starting from the
Navier-Stokes equations (at high Reynolds number Re) we show that the standard
perturbative expansions that suffer from infra-red divergences can be exactly
resummed using the Belinicher-L'vov transformation. After this exact (partial)
resummation it is proven that the resulting perturbation theory is free of
divergences, both in large and in small spatial separations. The hydrodynamic
response and the correlations have contributions that arise from mediated
interactions which take place at some space- time coordinates. It is shown that
the main contribution arises when these coordinates lie within a shell of a
"ball of locality" that is defined and discussed. We argue that the real
space-time formalism developed here offers a clear and intuitive understanding
of every diagram in the theory, and of every element in the diagrams. One major
consequence of this theory is that none of the familiar perturbative mechanisms
may ruin the classical Kolmogorov (K41) scaling solution for the structure
functions. Accordingly, corrections to the K41 solutions should be sought in
nonperturbative effects. These effects are the subjects of papers II and III in
this series, that will propose a mechanism for anomalous scaling in turbulence,
which in particular allows multiscaling of the structure functions.Comment: PRE in press, 18 pages + 6 figures, REVTeX. The Eps files of figures
will be FTPed by request to [email protected]
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