18,207 research outputs found
Roughness effects in turbulent forced convection
We conducted direct numerical simulations (DNSs) of turbulent flow over
three-dimensional sinusoidal roughness in a channel. A passive scalar is
present in the flow with Prandtl number , to study heat transfer by
forced convection over this rough surface. The minimal channel is used to
circumvent the high cost of simulating high Reynolds number flows, which
enables a range of rough surfaces to be efficiently simulated. The near-wall
temperature profile in the minimal channel agrees well with that of the
conventional full-span channel, indicating it can be readily used for
heat-transfer studies at a much reduced cost compared to conventional DNS. As
the roughness Reynolds number, , is increased, the Hama roughness
function, , increases in the transitionally rough regime before
tending towards the fully rough asymptote of , where
is a constant that depends on the particular roughness geometry and
is the von K\'arm\'an constant. In this fully rough
regime, the skin-friction coefficient is constant with bulk Reynolds number,
. Meanwhile, the temperature difference between smooth- and rough-wall
flows, , appears to tend towards a constant value,
. This corresponds to the Stanton number (the temperature
analogue of the skin-friction coefficient) monotonically decreasing with
in the fully rough regime. Using shifted logarithmic velocity and temperature
profiles, the heat transfer law as described by the Stanton number in the fully
rough regime can be derived once both the equivalent sand-grain roughness
and the temperature difference are known. In
meteorology, this corresponds to the ratio of momentum and heat transfer
roughness lengths, , being linearly proportional to ,
the momentum roughness length [continued]...Comment: Accepted (In press) in the Journal of Fluid Mechanic
Interval structure of the Pieri formula for Grothendieck polynomials
We give a combinatorial interpretation of a Pieri formula for double
Grothendieck polynomials in terms of an interval of the Bruhat order. Another
description had been given by Lenart and Postnikov in terms of chain
enumerations. We use Lascoux's interpretation of a product of Grothendieck
polynomials as a product of two kinds of generators of the 0-Hecke algebra, or
sorting operators. In this way we obtain a direct proof of the result of Lenart
and Postnikov and then prove that the set of permutations occuring in the
result is actually an interval of the Bruhat order.Comment: 27 page
Current noise of a quantum dot p-i-n junction in a photonic crystal
The shot-noise spectrum of a quantum dot p-i-n junction embedded inside a
three-dimensional photonic crystal is investigated. Radiative decay properties
of quantum dot excitons can be obtained from the observation of the current
noise. The characteristic of the photonic band gap is revealed in the current
noise with discontinuous behavior. Applications of such a device in
entanglement generation and emission of single photons are pointed out, and may
be achieved with current technologies.Comment: 4 pages, 3 figures, to appear in Phys. Rev. B (2005
Bilinear identities on Schur symmetric functions
A series of bilinear identities on the Schur symmetric functions is obtained
with the use of Pluecker relations.Comment: Accepted to Journal of Nonlinear Mathematical Physics. A reference to
a connected result is adde
Edge Magnetoplasmons in Quantum Hall Line Junction Systems
A quantum Hall line junction system consists of a one-dimensional Luttinger
liquid (LL) and two chiral channels that allow density waves incident upon and
reflected by the LL to be measured separately. We demonstrate that interactions
in a quantum Hall line junction system can be probed by studying edge
magnetoplasmon absorption spectra and their polarization dependences. Strong
interactions in the junction lead to collective modes that are isolated in
either Luttinger liquid or contact subsystems.Comment: 4 pages, 3 figures, submitted to Phys. Rev. B Rapid Communicatio
Parafermions, parabosons and representations of so(\infty) and osp(1|\infty)
The goal of this paper is to give an explicit construction of the Fock spaces
of the parafermion and the paraboson algebra, for an infinite set of
generators. This is equivalent to constructing certain unitary irreducible
lowest weight representations of the (infinite rank) Lie algebra so(\infty) and
of the Lie superalgebra osp(1|\infty). A complete solution to the problem is
presented, in which the Fock spaces have basis vectors labelled by certain
infinite but stable Gelfand-Zetlin patterns, and the transformation of the
basis is given explicitly. We also present expressions for the character of the
Fock space representations
Theory of I-V Characteristics of Magnetic Josephson Junctions
We analyze the electrical characteristics of a circuit consisting of a free
thin-film magnetic layer and source and drain electrodes that have opposite
magnetization orientations along the free magnet's two hard directions. We find
that when the circuit's current exceeds a critical value there is a sudden
resistance increase which can be large in relative terms if the currents to
source or drain are strongly spin polarized and the free magnet is thin. This
behavior can be partly understood in terms of a close analogy between the
magnetic circuit and a Josephson junction
Non-equilibrium Entanglement and Noise in Coupled Qubits
We study charge entanglement in two Coulomb-coupled double quantum dots in
thermal equilibrium and under stationary non-equilibrium transport conditions.
In the transport regime, the entanglement exhibits a clear switching threshold
and various limits due to suppression of tunneling by Quantum Zeno localisation
or by an interaction induced energy gap. We also calculate quantum noise
spectra and discuss the inter-dot current correlation as an indicator of the
entanglement in transport experiments.Comment: 4 pages, 4 figure
Observability of counterpropagating modes at fractional-quantum-Hall edges
When the bulk filling factor is equal to 1 - 1/m with m odd, at least one
counterpropagating chiral collective mode occurs simultaneously with
magnetoplasmons at the edge of fractional-quantum-Hall samples. Initial
experimental searches for an additional mode were unsuccessful. In this paper,
we address conditions under which its observation should be expected in
experiments where the electronic system is excited and probed by capacitive
coupling. We derive realistic expressions for the velocity of the slow
counterpropagating mode, starting from a microscopic calculation which is
simplified by a Landau-Silin-like separation between long-range Hartree and
residual interactions. The microscopic calculation determines the stiffness of
the edge to long-wavelength neutral excitations, which fixes the slow-mode
velocity, and the effective width of the edge region, which influences the
magnetoplasmon dispersion.Comment: 18 pages, RevTex, 6 figures, final version to be published in
Physical Review
Some Properties of the Calogero-Sutherland Model with Reflections
We prove that the Calogero-Sutherland Model with reflections (the BC_N model)
possesses a property of duality relating the eigenfunctions of two Hamiltonians
with different coupling constants. We obtain a generating function for their
polynomial eigenfunctions, the generalized Jacobi polynomials. The symmetry of
the wave-functions for certain particular cases (associated to the root systems
of the classical Lie groups B_N, C_N and D_N) is also discussed.Comment: 16 pages, harvmac.te
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