11,117 research outputs found
Scattering of second sound waves by quantum vorticity
A new method of detection and measurement of quantum vorticity by scattering
second sound off quantized vortices in superfluid Helium is suggested.
Theoretical calculations of the relative amplitude of the scattered second
sound waves from a single quantum vortex, a vortex ring, and bulk vorticity are
presented. The relevant estimates show that an experimental verification of the
method is feasible. Moreover, it can even be used for the detection of a single
quantum vortex.Comment: Latex file, 9 page
Scattering of first and second sound waves by quantum vorticity in superfluid Helium
We study the scattering of first and second sound waves by quantum vorticity
in superfluid Helium using two-fluid hydrodynamics. The vorticity of the
superfluid component and the sound interact because of the nonlinear character
of these equations. Explicit expressions for the scattered pressure and
temperature are worked out in a first Born approximation, and care is exercised
in delimiting the range of validity of the assumptions needed for this
approximation to hold. An incident second sound wave will partly convert into
first sound, and an incident first sound wave will partly convert into second
sound. General considerations show that most incident first sound converts into
second sound, but not the other way around. These considerations are validated
using a vortex dipole as an explicitely worked out example.Comment: 24 pages, Latex, to appear in Journal of Low Temperature Physic
Sound archaeology: terminology, Palaeolithic cave art and the soundscape
This article is focused on the ways that terminology describing the study of music and sound within archaeology has changed over time, and how this reflects developing methodologies, exploring the expectations and issues raised by the use of differing kinds of language to define and describe such work. It begins with a discussion of music archaeology, addressing the problems of using the term âmusicâ in an archaeological context. It continues with an examination of archaeoacoustics and acoustics, and an emphasis on sound rather than music. This leads on to a study of sound archaeology and soundscapes, pointing out that it is important to consider the complete acoustic ecology of an archaeological site, in order to identify its affordances, those possibilities offered by invariant acoustic properties. Using a case study from northern Spain, the paper suggests that all of these methodological approaches have merit, and that a project benefits from their integration
Topological Landau-Ginzburg Theory for Vortices in Superfluid He
We propose a new Landau-Ginzburg theory for arbitrarily shaped vortex strings
in superfluid He. The theory contains a topological term and directly
describes vortex dynamics. We introduce gauge fields in order to remove
singularities from the Landau-Ginzburg order parameter of the superfluid, so
that two kinds of gauge symmetries appear, making the continuity equation and
conservation of the total vorticity manifest. The topological term gives rise
to the Berry phase term in the vortex mechanical actions.Comment: LATEX, 9 page
Reply to comment by H. Hasegawa on "Evolution of Kelvin-Helmholtz activity on the dusk flank magnetopause"
We demonstrate, on experimental grounds, that the justifications for the comment by Hasegawa [2009], hereinafter
H09, on work done by Foullon et al. [2008], hereinafter F08, are not well founded
Quantum Probes of Spacetime Singularities
It is shown that there are static spacetimes with timelike curvature
singularities which appear completely nonsingular when probed with quantum test
particles. Examples include extreme dilatonic black holes and the fundamental
string solution. In these spacetimes, the dynamics of quantum particles is well
defined and uniquely determined.Comment: 12 pages, RevTeX, no figures, A few breif comments added and typos
correcte
Short wavelength spectrum and Hamiltonian stability of vortex rings
We compare dynamical and energetical stability criteria for vortex rings. It
is argued that vortex rings will be intrinsically unstable against
perturbations with short wavelengths below a critical wavelength, because the
canonical vortex Hamiltonian is unbounded from below for these modes. To
explicitly demonstrate this behaviour, we derive the oscillation spectrum of
vortex rings in incompressible, inviscid fluids, within a geometrical cutoff
procedure for the core. The spectrum develops an anomalous branch of negative
group velocity, and approaches the zero of energy for wavelengths which are
about six times the core diameter. We show the consequences of this dispersion
relation for the thermodynamics of vortex rings in superfluid He at low
temperatures.Comment: 7 pages, 4 figures, final version to appear in Phys. Rev.
Hamiltonian formalism for the Oppenheimer-Snyder model
A family of effective actions in Hamiltonian form is derived for a
self-gravitating sphere of isotropic homogeneous dust. Starting from the
Einstein-Hilbert action for barotropic perfect fluids and making use of the
symmetry and equation of state of the matter distribution we obtain reduced
actions for two canonical variables, namely the radius of the sphere and its
ADM energy, the latter being conserved along trajectories of the former. These
actions differ by the value of the (conserved) geodesic energy of the radius of
the sphere which defines (disconnected) classes of solutions in correspondence
to the inner geometry and proper volume of the sphere. Each class is thus
treated as one constrained dynamical system and the union of all classes covers
the full phase space of the model. Generalization to the (inhomogeneous) Tolman
model is shown to be straightforward. Quantization is also discussed.Comment: RevTeX, 10 pages, no figure
Phase Transition of the Ising model on a Hyperbolic Lattice
The matrix product structure is considered on a regular lattice in the
hyperbolic plane. The phase transition of the Ising model is observed on the
hyperbolic lattice by means of the corner-transfer-matrix
renormalization group (CTMRG) method. Calculated correlation length is always
finite even at the transition temperature, where mean-field like behavior is
observed. The entanglement entropy is also always finite.Comment: 4 pages, 3 figure
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