35,284 research outputs found
Dynamics of a Cavitating Propeller in a Water Tunnel
This study investigates the unsteady dynamics and inherent instabilities of a cavitating propeller operating in a water tunnel. First, the steady characteristics of the cavitating propeller such as the thrust coefficient are obtained by applying continuity and momentum equations to a simple one-dimensional flow tube model. The effects of the tunnel walls as well as those of the propeller operating conditions (advance ratio and cavitation number) are explored. Then the transfer matrix of the cavitating propeller (considered to be the most appropriate way to describe the dynamics of propeller) is obtained by combining the simple stream tube model with the conventional cavity model using the quasi-static cavitation compliance and mass flow gain factor representation. Finally, the surge instability of a cavitating propeller observed by Duttweiler and Brennen (2001) is examined by coupling the present model of the cavitation with a dynamic model for the water tunnel. This analysis shows that the effect of tunnel walls is to promote the surge instability
Uniform families of minimal rational curves on Fano manifolds
It is a well-known fact that families of minimal rational curves on rational
homogeneous manifolds of Picard number one are uniform, in the sense that the
tangent bundle to the manifold has the same splitting type on each curve of the
family. In this note we prove that certain --stronger-- uniformity conditions
on a family of minimal rational curves on a Fano manifold of Picard number one
allow to prove that the manifold is homogeneous
The total coordinate ring of a normal projective variety
The total coordinate ring TC(X) of a normal variety is a generalization of
the ring introduced and studied by Cox in connection with a toric variety.
Consider a normal projective variety X with divisor class group Cl(X), and let
us assume that it is a finitely generated free abelian group. We define the
total coordinate ring of X to be TC(X) = oplus_{D} H^0 (X, O_X (D)), where the
sum as above is taken over all Weil divisors of X contained in a fixed complete
system of representatives of Cl(X). We prove that for any normal projective
variety X, TC(X) is a UFD, this is a corollary of a more general theorem that
is proved in the paper. (Berchtold and Haussen proved the unique factorization
for a smooth variety independently.) We also prove that for X, the blow up of
P^2 along a finite number of collinear points, TC(X) is Noetherian. We also
give an example that TC(X) is not Noetherian but oplus_n H^0 (X, O(nD)) is
Noetherian for any Weil divisor D.Comment: This is the final version that will appear in the Journal of Algebra.
11 pages. LaTe
Efficient method for simulating quantum electron dynamics under the time dependent Kohn-Sham equation
A numerical scheme for solving the time-evolution of wave functions under the
time dependent Kohn-Sham equation has been developed. Since the effective
Hamiltonian depends on the wave functions, the wave functions and the effective
Hamiltonian should evolve consistently with each other. For this purpose, a
self-consistent loop is required at every time-step for solving the
time-evolution numerically, which is computationally expensive. However, in
this paper, we develop a different approach expressing a formal solution of the
TD-KS equation, and prove that it is possible to solve the TD-KS equation
efficiently and accurately by means of a simple numerical scheme without the
use of any self-consistent loops.Comment: 5 pages, 3 figures. Physical Review E, 2002, in pres
Modulation of Superconducting Properties by Ferroelectric Polarization in Confined FE-S-FE Films
We show that the electric polarization at the interface with ultrathin
superconducting (S) films sandwiched between ferroelectric (FE) layers allows
achievement of substantially stronger modulation of inner carrier density and
superconducting transition temperature as compared to FE-S bilayers typically
used in superconducting FETs. We find that not only the larger penetration
depths but also the pairing symmetry should be responsible for the fact that
the electric field effect in high temperature superconductors is much stronger
than in conventional systems. Discussing the advantages of multilayers, we
propose a novel design concept for superconducting electric field-effect
transistors based on ferroelectric films.Comment: 5 pages RevTex4, 6 figure
Spin-state transition and phase separation in multi-orbital Hubbard model
We study spin-state transition and phase separation involving this transition
based on the milti-orbital Hubbard model. Multiple spin states are realized by
changing the energy separation between the two orbitals and the on-site Hund
coupling. By utilizing the variational Monte-Carlo simulation, we analyze the
electronic and magnetic structures in hole doped and undoped states. Electronic
phase separation occurs between the low-spin band insulating state and the
high-spin ferromagnetic metallic one. Difference of the band widths in the two
orbitals is of prime importance for the spin-state transition and the phase
separation.Comment: 5 pages, 5 figure
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