38,288 research outputs found
Characteristic polynomials in real Ginibre ensembles
We calculate the average of two characteristic polynomials for the real Ginibre ensemble of asymmetric random matrices, and its chiral counterpart. Considered as quadratic forms they determine a skew-symmetric kernel from which all
complex eigenvalue correlations can be derived. Our results are obtained in a very simple fashion without going to an eigenvalue representation, and are completely new in the chiral case. They hold for Gaussian ensembles which are partly symmetric, with kernels given in terms of Hermite and Laguerre polynomials respectively, depending on an asymmetry parameter. This allows us to interpolate between the maximally asymmetric real Ginibre and the Gaussian Orthogonal Ensemble, as well as their chiral counterparts
Origin of the Mott Gap
We show exactly that the only charged excitations that exist in the
strong-coupling limit of the half-filled Hubbard model are gapped composite
excitations generated by the dynamics of the charge boson that appears
upon explicit integration of the high-energy scale. At every momentum, such
excitations have non-zero spectral weight at two distinct energy scales
separated by the on-site repulsion . The result is a gap in the spectrum for
the composite excitations accompanied by a discontinuous vanishing of the
density of states at the chemical potential when exceeds the bandwidth.
Consequently, we resolve the long-standing problem of the cause of the charge
gap in a half-filled band in the absence of symmetry breaking.Comment: 6 pages, 2 figures: Expanded Published versio
Quasi-optical SIS mixers with normal metal tuning structures
We recently reported (1996) a quasi-optical SIS mixer which used Nb/Al-oxide/Nb tunnel junctions and a normal-metal (Al) tuning circuit to achieve an uncorrected receiver noise temperature of 840 K (DSB) at 1042 GHz. Here we present results on several different device designs, which together cover the 300-1200 GHz frequency range. The mixers utilize an antireflection-coated silicon hyper-hemispherical lens, a twin-slot antenna, and a two-junction tuning circuit. The broad-band frequency response was measured using Fourier transform spectrometry (FTS), and is in good agreement with model calculations. Heterodyne tests were carried out from 400 GHz up to 1040 GHz, and these measurements agree well with the FTS results and with calculations based on Tucker's theory (1985)
Low-noise 1 THz niobium superconducting tunnel junction mixer with a normal metal tuning circuit
We describe a 1 THz quasioptical SIS mixer which uses a twin-slot antenna, an antireflection-coated silicon hyperhemispherical lens, Nb/Al-oxide/Nb tunnel junctions, and an aluminum normal-metal tuning circuit in a two-junction configuration. Since the mixer operates substantially above the gap frequency of niobium (nu >~ 2 Delta/h ~ 700 GHz), a normal metal is used in the tuning circuit in place of niobium to reduce the Ohmic loss. The frequency response of the device was measured using a Fourier transform spectrometer and agrees reasonably well with the theoretical prediction. At 1042 GHz, the uncorrected double-sideband receiver noise temperature is 840 K when the physical temperature of the mixer is 2.5 K. This is the first SIS mixer which outperforms GaAs Schottky diode mixers by a large margin at 1 THz
Lunar base launch and landing facilities conceptual design
The purpose of this study was to perform a first look at the requirements for launch and landing facilities for early lunar bases and to prepared conceptual designs for some of these facilities. The emphasis of the study is on the facilities needed from the first manned landing until permanent occupancy, the Phase 2 lunar base. Factors including surface characteristics, navigation system, engine blast effects, and expected surface operations are used to develop landing pad designs, and definitions fo various other elements of the launch and landing facilities. Finally, the dependence of the use of these elements and the evolution of the facilities are established
Quantum condensation from a tailored exciton population in a microcavity
An experiment is proposed, on the coherent quantum dynamics of a
semiconductor microcavity containing quantum dots. Modeling the experiment
using a generalized Dicke model, we show that a tailored excitation pulse can
create an energy-dependent population of excitons, which subsequently evolves
to a quantum condensate of excitons and photons. The population is created by a
generalization of adiabatic rapid passage, and then condenses due to a
dynamical analog of the BCS instability.Comment: 5 pages, 3 figures. Version 2 is extensively rewritten, and
incorporates some new results in further support of our claim
Rainfall and runoff data for Hinkson and Grindstone creeks at Columbia, MO.
"A thesis for the degree of bachelor of science in civil engineering. University of Missouri, Department of Engineering, 1909.""The investigation presented in these notes has resulted more satisfactorily than was anticipated when the work was first undertaken. We feel perfectly satisfied with the results herewith submitted as far as they go, but regret that the period of investigation was not of sufficient duration to give more nearly average results, particularly in regard to the conditions during the summer months. In the preparation of this paper, we are especially indebted to Professor T. J. Rodhouse, in charge of the Hydraulic Engineering, University of Missouri, under whose supervision the work was carried out and whose counsel has guided us throughout the work. Our appreciation and thanks are justly due Mr. George Reeder, Director Missouri section, U.S.weather Bureau, who furnished the rainfall data, with other valuable information; to the members of the Engineering faculty in general, for their suggestions and assistance; and to the members of the senior Engineering class who have assisted in some of the field work."--Forewor
Tangential Touch between the Free and the Fixed Boundary in a Semilinear Free Boundary Problem in Two Dimensions
The main result of this paper concerns the behavior of a free boundary
arising from a minimization problem, close to the fixed boundary in two
dimensions
Phase behaviour of binary mixtures of diamagnetic colloidal platelets in an external magnetic field
Using fundamental measure density functional theory we investigate
paranematic-nematic and nematic-nematic phase coexistence in binary mixtures of
circular platelets with vanishing thicknesses. An external magnetic field
induces uniaxial alignment and acts on the platelets with a strength that is
taken to scale with the platelet area. At particle diameter ratio lambda=1.5
the system displays paranematic-nematic coexistence. For lambda=2, demixing
into two nematic states with different compositions also occurs, between an
upper critical point and a paranematic-nematic-nematic triple point. Increasing
the field strength leads to shrinking of the coexistence regions. At high
enough field strength a closed loop of immiscibility is induced and phase
coexistence vanishes at a double critical point above which the system is
homogeneously nematic. For lambda=2.5, besides paranematic-nematic coexistence,
there is nematic-nematic coexistence which persists and hence does not end in a
critical point. The partial orientational order parameters along the binodals
vary strongly with composition and connect smoothly for each species when
closed loops of immiscibility are present in the corresponding phase diagram.Comment: 9 pages, to appear in J.Phys:Condensed Matte
Chiral effective theory predictions for deuteron form factor ratios at low Q^2
We use chiral effective theory to predict the deuteron form factor ratio
G_C/G_Q as well as ratios of deuteron to nucleon form factors. These ratios are
calculated to next-to-next-to-leading order. At this order the chiral expansion
for the NN isoscalar charge operator (including consistently calculated 1/M
corrections) is a parameter-free prediction of the effective theory. Use of
this operator in conjunction with NLO and NNLO chiral effective theory wave
functions produces results that are consistent with extant experimental data
for Q^2 < 0.35 GeV^2. These wave functions predict a deuteron quadrupole moment
G_Q(Q^2=0)=0.278-0.282 fm^2-with the variation arising from short-distance
contributions to this quantity. The variation is of the same size as the
discrepancy between the theoretical result and the experimental value. This
motivates the renormalization of G_Q via a two-nucleon operator that couples to
quadrupole photons. After that renormalization we obtain a robust prediction
for the shape of G_C/G_Q at Q^2 < 0.3 GeV^2. This allows us to make precise,
model-independent predictions for the values of this ratio that will be
measured at the lower end of the kinematic range explored at BLAST. We also
present results for the ratio G_C/G_M.Comment: 31 pages, 7 figure
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