54,258 research outputs found
Rational Approximate Symmetries of KdV Equation
We construct one-parameter deformation of the Dorfman Hamiltonian operator
for the Riemann hierarchy using the quasi-Miura transformation from topological
field theory. In this way, one can get the approximately rational symmetries of
KdV equation and then investigate its bi-Hamiltonian structure.Comment: 14 pages, no figure
Origin of spin reorientation transitions in antiferromagnetic MnPt-based alloys
Antiferromagnetic MnPt exhibits a spin reorientation transition (SRT) as a
function of temperature, and off-stoichiometric Mn-Pt alloys also display SRTs
as a function of concentration. The magnetocrystalline anisotropy in these
alloys is studied using first-principles calculations based on the coherent
potential approximation and the disordered local moment method. The anisotropy
is fairly small and sensitive to the variations in composition and temperature
due to the cancellation of large contributions from different parts of the
Brillouin zone. Concentration and temperature-driven SRTs are found in
reasonable agreement with experimental data. Contributions from specific
band-structure features are identified and used to explain the origin of the
SRTs.Comment: 6 pages, 8 figure
Finite element implementation of state variable-based viscoplasticity models
The implementation of state variable-based viscoplasticity models is made in a general purpose finite element code for structural applications of metals deformed at elevated temperatures. Two constitutive models, Walker's and Robinson's models, are studied in conjunction with two implicit integration methods: the trapezoidal rule with Newton-Raphson iterations and an asymptotic integration algorithm. A comparison is made between the two integration methods, and the latter method appears to be computationally more appealing in terms of numerical accuracy and CPU time. However, in order to make the asymptotic algorithm robust, it is necessary to include a self adaptive scheme with subincremental step control and error checking of the Jacobian matrix at the integration points. Three examples are given to illustrate the numerical aspects of the integration methods tested
Theory of magnetic excitons in the heavy-fermion superconductor
We analyze the influence of unconventional superconductivity on the magnetic
excitations in the heavy fermion compound UPdAl. We show that it leads
to the formation of a bound state at energies well below 2 at the
antiferromagnetic wave vector {\textbf Q}=. Its signature is a
resonance peak in the spectrum of magnetic excitations in good agreement with
results from inelastic neutron scattering. Furthermore we investigate the
influence of antiferromagnetic order on the formation of the resonance peak. We
find that its intensity is enhanced due to intraband transitions induced by the
reconstruction of Fermi surface sheets. We determine the dispersion of the
resonance peak near {\textbf Q} and show that it is dominated by the magnetic
exciton dispersion associated with local moments. We demonstrate by a
microscopic calculation that UPdAl is another example in which the
unconventional nature of the superconducting order parameter can be probed by
means of inelastic neutron scattering and determined unambiguously.Comment: 6 pages, 4 figure
On finite element implementation and computational techniques for constitutive modeling of high temperature composites
The research work performed during the past year on finite element implementation and computational techniques pertaining to high temperature composites is outlined. In the present research, two main issues are addressed: efficient geometric modeling of composite structures and expedient numerical integration techniques dealing with constitutive rate equations. In the first issue, mixed finite elements for modeling laminated plates and shells were examined in terms of numerical accuracy, locking property and computational efficiency. Element applications include (currently available) linearly elastic analysis and future extension to material nonlinearity for damage predictions and large deformations. On the material level, various integration methods to integrate nonlinear constitutive rate equations for finite element implementation were studied. These include explicit, implicit and automatic subincrementing schemes. In all cases, examples are included to illustrate the numerical characteristics of various methods that were considered
Pion electromagnetic form factor at spacelike momenta
A novel method is employed to compute the pion electromagnetic form factor,
F_\pi(Q^2), on the entire domain of spacelike momentum transfer using the
Dyson-Schwinger equation (DSE) framework in quantum chromodynamics (QCD). The
DSE architecture unifies this prediction with that of the pion's valence-quark
parton distribution amplitude (PDA). Using this PDA, the leading-order,
leading-twist perturbative QCD result for Q^2 F_\pi(Q^2) underestimates the
full computation by just 15% on Q^2>~8GeV^2, in stark contrast with the result
obtained using the asymptotic PDA. The analysis shows that hard contributions
to the pion form factor dominate for Q^2>~8GeV^2 but, even so, the magnitude of
Q^2 F_\pi(Q^2) reflects the scale of dynamical chiral symmetry breaking, a
pivotal emergent phenomenon in the Standard Model.Comment: 5 pages, 2 figures. To appear in Phys. Rev. Let
Pion distribution amplitude from lattice-QCD
A method is explained through which a pointwise accurate approximation to the
pion's valence-quark distribution amplitude (PDA) may be obtained from a
limited number of moments. In connection with the single nontrivial moment
accessible in contemporary simulations of lattice-regularised quantum
chromodynamics (QCD), the method yields a PDA that is a broad concave function
whose pointwise form agrees with that predicted by Dyson-Schwinger equation
analyses of the pion. Under leading-order evolution, the PDA remains broad to
energy scales in excess of 100 GeV, a feature which signals persistence of the
influence of dynamical chiral symmetry breaking. Consequently, the asymptotic
distribution, \phi_\pi^asy(x), is a poor approximation to the pion's PDA at all
such scales that are either currently accessible or foreseeable in experiments
on pion elastic and transition form factors. Thus, related expectations based
on \phi_\pi^asy(x) should be revised.Comment: 5 pages, 2 figure
Surface response of spherical core-shell structured nanoparticle by optically induced elastic oscillations of soft shell against hard core
The optically induced oscillatory response of a spherical two-component,
shell-core structured, nanoparticle by nodeless elastic vibrations of soft
peripheral shell against hard and dynamically immobile inner core is
considered. The eigenfrequencies of the even-parity, spheroidal and odd-parity
torsional vibrational modes trapped in the finite-depth shell are obtained
which are of practical interest for modal specification of individual
resonances in spectra of resonant scattering of long wavelength electromagnetic
waves by ultrafine particles.Comment: Surface Review and Letters (World Scientific) Year: 2009 Vol: 16
Issue: 1 (February 2009) Page: 5 - 1
Heterostructure solar cells
The performance of gallium arsenide solar cells grown on Ge substrates is discussed. In some cases the substrate was thinned to reduce overall cell weight with good ruggedness. The conversion efficiency of 2 by 2 cm cells under AMO reached 17.1 percent with a cell thickness of 6 mils. The work described forms the basis for future cascade cell structures, where similar interconnecting problems between the top cell and the bottom cell must be solved. Applications of the GaAs/Ge solar cell in space and the expected payoffs are discussed
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