5,924 research outputs found
Twist transition of nematic hyperbolic hedgehogs
Stability of an idealized hyperbolic hedgehog in a nematic liquid crystal against a twist transition is investigated by extending the methodology of Rüdinger and Stark [Liq. Cryst. 26, 753 (1999)], where the hedgehog is confined between two concentric spheres. In the ideal hyperbolic-hedgehog the molecular orientation is assumed to rotate proportionally with respect to the inclination angle, θ (and in the opposite sense). However, when splay, k11, and bend, k33, moduli differ this proportionality is lost and the liquid crystal deforms relative to the ideal with bend and splay. Although slight, these deformations are shown to significantly shift the transition if k11/k33 is small. By increasing the degree of confinement the twist transition can be inhibited, a characteristic both hyperbolic and radial hedgehogs have in common. The twist transition of a hyperbolic defect that accompanies a particle is found to be well predicted by the earlier stability analysis of a thick shell
Adaptive grid methods for Q-tensor theory of liquid crystals : a one-dimensional feasibility study
This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illustrates the feasibility of applying adaptive grid techniques in such situations. We describe how the grids are computed using an equidistribution principle, and investigate the comparative accuracy of adaptive and uniform grid strategies, both theoretically and via numerical examples
Variabilidade genetica e melhoramento da mandioca (Manihot esculenta Crantz).
A cultura da mandioca constitui uma das mais importantes fontes de carboidratos nos trópicos, empregada na alimentação humana, animal e na indústria de processamento por cerca de 500 milhões de pessoas em todo o mundo. É cultivada em todo o território brasileir
Neutrinos and Gauge Unification
The approximate unification of gauge couplings is the best indirect evidence
for low-energy supersymmetry, although it is not perfect in its simplest
realizations. Given the experimental evidence for small non-zero neutrino
masses, it is plausible to extend the MSSM with three right-handed neutrino
chiral multiplets, with large Majorana masses below the unification scale, so
that a see-saw mechanism can be implemented. In this extended MSSM, the
unification prediction for the strong gauge coupling constant at M_Z can be
lowered by up to \sim 5%, bringing it closer to the experimental value at
1\sigma, therefore improving significantly the accuracy of gauge coupling
unification.Comment: 5 pages, LaTeX, 1 figur
New optimal tests of quantum nonlocality
We explore correlation polytopes to derive a set of all Boole-Bell type
conditions of possible classical experience which are both maximal and
complete. These are compared with the respective quantum expressions for the
Greenberger-Horne-Zeilinger (GHZ) case and for two particles with spin state
measurements along three directions.Comment: 10 page
Lepton Flavor Violation in Supersymmetric SO(10) Grand Unified Models
The study for lepton flavor violation combined with the neutrino oscillation
may provide more information about the lepton flavor structure of the grand
unified theory. In this paper, we study two lepton flavor violation processes,
and , in the context of supersymmetric SO(10)
grand unified models. We find the two processes are both of phenomenological
interest. In particular the latter may be important in some supersymmetric
parameter space where the former is suppressed. Thus, Z-dacay may offer another
chance for looking for lepton flavor violation.Comment: 26 pages, 10 figure
Nonlocal Landau theory of the magnetic phase diagram of highly frustrated magnetoelectric CuFeO
A nonlocal Landau-type free energy functional of the spin density is
developed to model the large variety of magnetic states which occur in the
magnetic field-temperature phase diagram of magnetoelectric CuFeO.
Competition among long-range quadratic exchange, biquadratic anti-symmetric
exchange, and trigonal anisotropy terms, consistent with the high-temperature
rhombohedral Rm crystal symmetry, are shown to all play important
roles in stabilizing the unusual combination of commensurate and incommensurate
spin structures in this highly frustrated triangular antiferromagnet. It is
argued that strong magnetoelastic coupling is largely responsible for the
nonlocal nature of the free energy. A key feature of the analysis is that an
electric polarization is induced by a canting of the non-collinear
incommensurate spin structure. Application of the model to ordered spin states
in the triangular antiferromagnets MnBr and NaFeO is also discussed.Comment: 20 pages, 2 figure
Neutrino oscillations in structured matter
A layered material structure in a monochromatic neutrino beam produces
interference effects that could be used for the measurement of features of the
neutrino mass matrix. The phenomenon would be most useful at high energies.Comment: 18 pp of which two figure
Muon Spectra of Quasi-Elastic and 1-Pion Production Events in LBL Neutrino Oscillation Experiments
The muon energy spectra of the quasi-elastic and 1-pion production events in
a LBL experiment, like K2K, are predicted to follow closely the neutrino energy
spectrum, with downward shifts of the energy scale by and respectively. These predictions seem to agree with the
observed muon spectra in the K2K nearby detector. The corresponding muon
spectra in the far-away (SK) detector are predicted to show characteristic
spectral distortions induced by oscillation. Comparison of the
predicted spectral distortions with the observed muon spectra of the 1-Ring and
2-Ring muon events in the SK detector will help to determine the oscillation
parameters. The results will be applicable to other LBL experiments as well.Comment: 13 pages. One figure and a few comments added, final version to
appear in P
Non-local anomaly of the axial-vector current for bound states
We demonstrate that the amplitude does not vanish in the limit of zero quark masses. This
represents a new kind of violation of the classical equation of motion for the
axial current and should be interpreted as the axial anomaly for bound states.
The anomaly emerges in spite of the fact that the one loop integrals are
ultraviolet-finite as guaranteed by the presence of the bound-state wave
function. As a result, the amplitude behaves like in the limit of
a large momentum of the current. This is to be compared with the amplitude
which remains
finite in the limit .
The observed effect leads to the modification of the classical equation of
motion of the axial-vector current in terms of the non-local operator and can
be formulated as a non-local axial anomaly for bound states.Comment: revtex, 4 pages, numerical value for in Eq. (19) is
corrected, Eqs. (22) and (23) are modified. New references added. Results
remain unchange
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