11,818 research outputs found
Azimuthal and single spin asymmetry in deep-inelastic lepton-nucleon scattering
We derive a general framework for describing semi-inclusive deep-inelastic
lepton-nucleon scattering in terms of the unintegrated parton distributions and
other higher twist parton correlations. Such a framework provides a consistent
approach to the calculation of inclusive and semi-inclusive cross sections
including higher twist effects. As an example, we calculate the azimuthal
asymmetries to the order of 1/Q in semi-inclusive process with transversely
polarized target. A non-vanishing single-spin asymmetry in the ``triggered
inclusive process'' is predicted to be 1/Q suppressed with a part of the
coefficient related to a moment of the Sivers function.Comment: 9 pages, 1 figur
Modeling Vocal Fold Motion with a New Hydrodynamic Semi-Continuum Model
Vocal fold (VF) motion is a fundamental process in voice production, and is
also a challenging problem for direct numerical computation because the VF
dynamics depend on nonlinear coupling of air flow with the response of elastic
channels (VF), which undergo opening and closing, and induce internal flow
separation. A traditional modeling approach makes use of steady flow
approximation or Bernoulli's law which is known to be invalid during VF
opening. We present a new hydrodynamic semi-continuum system for VF motion. The
airflow is modeled by a quasi-one dimensional continuum aerodynamic system, and
the VF by a classical lumped two mass system. The reduced flow system contains
the Bernoulli's law as a special case, and is derivable from the two
dimensional compressible Navier-Stokes equations. Since we do not make steady
flow approximation, we are able to capture transients and rapid changes of
solutions, e.g. the double pressure peaks at opening and closing stages of VF
motion consistent with experimental data. We demonstrate numerically that our
system is robust, and models in-vivo VF oscillation more physically. It is also
much simpler than a full two-dimensional Navier-Stokes system.Comment: 27 pages,6 figure
Incommensurate Magnetism around Vortices and Impurities in High- Superconductors
By solving self-consistently an effective Hamiltonian including interactions
for both antiferromagnetic spin-density wave (SDW) and d-wave superconducting
(DSC) orderings, a comparison study is made for the local magnetic structure
around superconducting vortices and unitary impurities. To represent the
optimally doped regime of cuprates, the parameter values are chosen such that
the DSC is dominant while the SDW is vanishingly small. We show that when
vortices are introduced into the superconductor, an oscillating SDW is induced
around them. The oscillation period of the SDW is microscopically found,
consistent with experiments, to be eight lattice constants (). The
associated charge-density wave (CDW) oscillates with a period of one half
() of the SDW. In the case of unitary impurities, we find a SDW
modulation with identical periodicity, however without an associated CDW. We
propose neutron scattering experiments to test this prediction.Comment: 5 pages, 4 eps figures (color) included in the tex
Statistical Analysis of a Semilinear Hyperbolic System Advected by a White in Time Random Velocity Field
We study a system of semilinear hyperbolic equations passively advected by
smooth white noise in time random velocity fields. Such a system arises in
modeling non-premixed isothermal turbulent flames under single-step kinetics of
fuel and oxidizer. We derive closed equations for one-point and multi-point
probability distribution functions (PDFs) and closed form analytical formulas
for the one point PDF function, as well as the two-point PDF function under
homogeneity and isotropy. Exact solution formulas allows us to analyze the
ensemble averaged fuel/oxidizer concentrations and the motion of their level
curves. We recover the empirical formulas of combustion in the thin reaction
zone limit and show that these approximate formulas can either underestimate or
overestimate average concentrations when reaction zone is not tending to zero.
We show that the averaged reaction rate slows down locally in space due to
random advection induced diffusion; and that the level curves of ensemble
averaged concentration undergo diffusion about mean locations.Comment: 18 page
Growth and P Uptake of \u3cem\u3eDactylis glomerata\u3c/em\u3e L . and \u3cem\u3eAnthoxanthum odoratum\u3c/em\u3e L . Response to Mycorrhizal Inoculation in Acid Condition
Atomic scale elastic textures coupled to electrons in superconductors
We present an atomic scale theory of lattice distortions using strain related
variables and their constraint equations. Our approach connects constrained
atomic length scale variations to continuum elasticity and describes elasticity
at all length scales. We apply the general approach to a two-dimensional square
lattice with a monatomic basis, and find the atomic scale elastic textures
around a structural domain wall and a single defect, as exemplary textures. We
clarify the microscopic origin of gradient terms, some of which are included
phenomenologically in Landau-Ginzburg theory. The obtained elastic textures are
used to investigate the effects of elasticity-driven lattice deformation on the
nanoscale electronic structure in superconductor by solving the Bogliubov-de
Gennes equations with the electronic degrees of freedom coupled to the lattice
ones. It is shown that the order parameter is depressed in the regions where
the lattice deformation takes place. The calculated local density of states
suggests the electronic structure is strongly modulated as a response to the
lattice deformation-- the elasticity propagates the electronic response over
long distances. In particular, it is possible for the trapping of low-lying
quasiparticle states around the defects. These predictions could be directly
tested by STM experiments in superconducting materials.Comment: Proceeding paper for "Conference on Dynamic Inhomogeneities in
Complex Oxides" (to appear in J. Superconductivity
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