7,335 research outputs found
Scattering by randomly oriented ellipsoids: Application to aerosol and cloud problems
A program was developed for computing the scattering and absorption by arbitrarily oriented and randomly oriented prolate and oblate spheroids. This permits examination of the effect of particle shape for cases ranging from needles through spheres to platelets. Applications of this capability to aerosol and cloud problems are discussed. Initial results suggest that the effect of nonspherical particle shape on transfer of radiation through aerosol layers and cirrus clouds, as required for many climate studies, can be readily accounted for by defining an appropriate effective spherical particle radius
Zone Diagrams in Euclidean Spaces and in Other Normed Spaces
Zone diagram is a variation on the classical concept of a Voronoi diagram.
Given n sites in a metric space that compete for territory, the zone diagram is
an equilibrium state in the competition. Formally it is defined as a fixed
point of a certain "dominance" map.
Asano, Matousek, and Tokuyama proved the existence and uniqueness of a zone
diagram for point sites in Euclidean plane, and Reem and Reich showed existence
for two arbitrary sites in an arbitrary metric space. We establish existence
and uniqueness for n disjoint compact sites in a Euclidean space of arbitrary
(finite) dimension, and more generally, in a finite-dimensional normed space
with a smooth and rotund norm. The proof is considerably simpler than that of
Asano et al. We also provide an example of non-uniqueness for a norm that is
rotund but not smooth. Finally, we prove existence and uniqueness for two point
sites in the plane with a smooth (but not necessarily rotund) norm.Comment: Title page + 16 pages, 20 figure
Josephson effect in quasi one-dimensional unconventional superconductors
Josephson effect in junctions of quasi one-dimensional triangular lattice
superconductors is discussed, where the theoretical model corresponds to
organic superconductors (TMTSF)_2PF_6. We assume the quarter-filling electron
band and p, d and f wave like pairing symmetries in organic superconductors. To
realize the electronic structures in organic superconductors, we introduce the
asymmetric hopping integral, (t') among second nearest lattice sites. At t'=0,
the Josephson current in the d wave symmetry saturates in low temperatures,
whereas those in the p and the f wave symmetries show the low-temperature
anomaly due to the zero-energy state at the junction interfaces. The
low-temperature anomaly appears even in the d wave symmetry in the presence of
t', whereas the anomaly is suppressed in the f wave symmetry. The shape of the
Fermi surface is an important factor for the formation of the ZES in the
quarter-filling electron systems.Comment: 10 page
Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions
Charge transport in the diffusive normal metal (DN) / insulator / - and -wave superconductor junctions is studied in the presence of magnetic
impurities in DN in the framework of the quasiclassical Usadel equations with
the generalized boundary conditions. The cases of - and d-wave
superconducting electrodes are considered. The junction conductance is
calculated as a function of a bias voltage for various parameters of the DN
metal: resistivity, Thouless energy, the magnetic impurity scattering rate and
the transparency of the insulating barrier between DN and a superconductor. It
is shown that the proximity effect is suppressed by magnetic impurity
scattering in DN for any value of the barrier transparency. In low-transparent
s-wave junctions this leads to the suppression of the normalized zero-bias
conductance. In contrast to that, in high transparent junctions zero-bias
conductance is enhanced by magnetic impurity scattering. The physical origin of
this effect is discussed. For the d-wave junctions, the dependence on the
misorientation angle between the interface normal and the crystal axis
of a superconductor is studied. The zero-bias conductance peak is suppressed by
the magnetic impurity scattering only for low transparent junctions with
. In other cases the conductance of the d-wave junctions does
not depend on the magnetic impurity scattering due to strong suppression of the
proximity effect by the midgap Andreev resonant states.Comment: 11 pages, 13 figures;d-wave case adde
Gamma Ray Bursts: recent results and connections to very high energy Cosmic Rays and Neutrinos
Gamma-ray bursts are the most concentrated explosions in the Universe. They
have been detected electromagnetically at energies up to tens of GeV, and it is
suspected that they could be active at least up to TeV energies. It is also
speculated that they could emit cosmic rays and neutrinos at energies reaching
up to the eV range. Here we review the recent developments in
the photon phenomenology in the light of \swift and \fermi satellite
observations, as well as recent IceCube upper limits on their neutrino
luminosity. We discuss some of the theoretical models developed to explain
these observations and their possible contribution to a very high energy cosmic
ray and neutrino background.Comment: 12 pages, 7 figures. Text of a plenary lecture at the PASCOS 12
conference, Merida, Yucatan, Mexico, June 2012; to appear in J.Phys. (Conf.
Series
Pressure-tuned First-order Phase Transition and Accompanying Resistivity Anomaly in CeZn_{1-\delta}Sb_{2}
The Kondo lattice system CeZn_{0.66}Sb_{2} is studied by the electrical
resistivity and ac magnetic susceptibility measurements at several pressures.
At P=0 kbar, ferromagnetic and antiferromagnetic transitions appear at 3.6 and
0.8 K, respectively. The electrical resistivity at T_N dramatically changes
from the Fisher-Langer type (ferromagnetic like) to the Suzaki-Mori type near
17 kbar, i.e., from a positive divergence to a negative divergence in the
temperature derivative of the resistivity. The pressure-induced SM type
anomaly, which shows thermal hysteresis, is easily suppressed by small magnetic
field (1.9 kOe for 19.8 kbar), indicating a weakly first-order nature of the
transition. By subtracting a low-pressure data set, we directly compare the
resistivity anomaly with the SM theory without any assumption on backgrounds,
where the negative divergence in d\rho/dT is ascribed to enhanced critical
fluctuations in the presence of superzone gaps.Comment: 5 pages, 4 figures; journal-ref adde
Elementary Excitations in Quantum Antiferromagnetic Chains: Dyons, Spinons and Breathers
Considering experimental results obtained on three prototype compounds, TMMC,
CsCoCl3 (or CsCoBr3) and Cu Benzoate, we discuss the importance of non-linear
excitations in the physics of quantum (and classical) antiferromagnetic spin
chains.Comment: Invited at the International Symposium on Cooperative Phenomena of
Assembled Metal Complexes, November 15-17, 2001, Osaka, Japa
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