6,128 research outputs found
The Topology of Foliations Formed by the Generic K-Orbits of a Subclass of the Indecomposable MD5-Groups
The present paper is a continuation of [13], [14] of the authors.
Specifically, the paper considers the MD5-foliations associated to connected
and simply connected MD5-groups such that their Lie algebras have 4-dimensional
commutative derived ideal. In the paper, we give the topological classification
of all considered MD5-foliations. A description of these foliations by certain
fibrations or suitable actions of and the Connes' C*-algebras
of the foliations which come from fibrations are also given in the paper.Comment: 20 pages, no figur
Kinetic-Ion Simulations Addressing Whether Ion Trapping Inflates Stimulated Brillouin Backscattering Reflectivities
An investigation of the possible inflation of stimulated Brillouin
backscattering (SBS) due to ion kinetic effects is presented using
electromagnetic particle simulations and integrations of three-wave
coupled-mode equations with linear and nonlinear models of the nonlinear ion
physics. Electrostatic simulations of linear ion Landau damping in an ion
acoustic wave, nonlinear reduction of damping due to ion trapping, and
nonlinear frequency shifts due to ion trapping establish a baseline for
modeling the electromagnetic SBS simulations. Systematic scans of the laser
intensity have been undertaken with both one-dimensional particle simulations
and coupled-mode-equations integrations, and two values of the electron-to-ion
temperature ratio (to vary the linear ion Landau damping) are considered. Three
of the four intensity scans have evidence of SBS inflation as determined by
observing more reflectivity in the particle simulations than in the
corresponding three-wave mode-coupling integrations with a linear ion-wave
model, and the particle simulations show evidence of ion trapping.Comment: 56 pages, 20 figure
Thermal oxidation of reactively sputtered amorphous W_(80)N_(20) films
The oxidation behavior of reactively sputtered amorphous tungsten nitride of composition W_(80)N_(20) was investigated in dry and wet oxidizing ambient in the temperature range of 450 °C–575 °C. A single WO_3 oxide phase is observed. The growth of the oxide follows a parabolic time dependence which is attributed to a process controlled by the diffusivity of the oxidant in the oxide. The oxidation process is thermally activated with an activation energy of 2.5 ± 0.05 eV for dry ambient and 2.35 ± 0.05 eV for wet ambient. The pre‐exponential factor of the reaction constant for dry ambient is 1.1×10^(21) Å^2/min; that for wet ambient is only about 10 times less and is equal to 1.3×10^(20) Å^2/min
On the theory of the vortex state in the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase
We demonstrate that the vortex state in the Fulde-Ferrell-Larkin-Ovchinnikov
(FFLO) phase may be very different depending on the field orientation relative
to the crystalline axes. We calculate numerically the upper critical field near
the tricritical point taking into account the modulation of the order parameter
along the magnetic field as well as the higher Landau levels. For s-wave
superconductors with the anisotropy described by an elliptical Fermi surface we
propose a general scheme of the analysis of the angular dependence of upper
critical field at all temperatures on the basis of the exact solution for the
order parameter. Our results show that the transitions (with tilting magnetic
field) between different types of mixed states may be a salient feature of the
FFLO phase. Moreover we discuss the reasons for the first-order phase
transition into the FFLO state in the case of CeCoIn5 compound.Comment: 7 figure
A Systematic Review: Light Therapy for Individuals with Dementia and Implications for Practice
This systematic review seeks to answer the question: is light therapy an effective intervention for sundowning symptoms experienced by individuals who have dementia
Quantum mechanics in multiply connected spaces
This paper analyses quantum mechanics in multiply connected spaces. It is
shown that the multiple connectedness of the configuration space of a physical
system can determine the quantum nature of physical observables, such as the
angular momentum. In particular, quantum mechanics in compactified Kaluza-Klein
spaces is examined. These compactified spaces give rise to an additional
angular momentum which can adopt half-integer values and, therefore, may be
identified with the intrinsic spin of a quantum particle.Comment: Latex 15 page
Random matrices: Universality of local eigenvalue statistics up to the edge
This is a continuation of our earlier paper on the universality of the
eigenvalues of Wigner random matrices. The main new results of this paper are
an extension of the results in that paper from the bulk of the spectrum up to
the edge. In particular, we prove a variant of the universality results of
Soshnikov for the largest eigenvalues, assuming moment conditions rather than
symmetry conditions. The main new technical observation is that there is a
significant bias in the Cauchy interlacing law near the edge of the spectrum
which allows one to continue ensuring the delocalization of eigenvectors.Comment: 24 pages, no figures, to appear, Comm. Math. Phys. One new reference
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