3,387 research outputs found
Hyperfine Interactions in the Heavy Fermion CeMIn_5 Systems
The CeMIn_5 heavy fermion compounds have attracted enormous interest since
their discovery six years ago. These materials exhibit a rich spectrum of
unusual correlated electron behavior, and may be an ideal model for the high
temperature superconductors. As many of these systems are either
antiferromagnets, or lie close to an antiferromagnetic phase boundary, it is
crucial to understand the behavior of the dynamic and static magnetism. Since
neutron scattering is difficult in these materials, often the primary source of
information about the magnetic fluctuations is Nuclear Magnetic Resonance
(NMR). Therefore, it is crucial to have a detailed understanding of how the
nuclear moments interact with conduction electrons and the local moments
present in these systems. Here we present a detailed analysis of the hyperfine
coupling based on anisotropic hyperfine coupling tensors between nuclear
moments and local moments. Because the couplings are symmetric with respect to
bond axes rather than crystal lattice directions, the nuclear sites can
experience non-vanishing hyperfine fields even in high symmetry sites.Comment: 15 pages, 5 figure
Bubble generation in a twisted and bent DNA-like model
The DNA molecule is modeled by a parabola embedded chain with long-range
interactions between twisted base pair dipoles. A mechanism for bubble
generation is presented and investigated in two different configurations. Using
random normally distributed initial conditions to simulate thermal
fluctuations, a relationship between bubble generation, twist and curvature is
established. An analytical approach supports the numerical results.Comment: 7 pages, 8 figures. Accepted for Phys. Rev. E (in press
Collapse arrest and soliton stabilization in nonlocal nonlinear media
We investigate the properties of localized waves in systems governed by
nonlocal nonlinear Schrodinger type equations. We prove rigorously by bounding
the Hamiltonian that nonlocality of the nonlinearity prevents collapse in,
e.g., Bose-Einstein condensates and optical Kerr media in all physical
dimensions. The nonlocal nonlinear response must be symmetric, but can be of
completely arbitrary shape. We use variational techniques to find the soliton
solutions and illustrate the stabilizing effect of nonlocality.Comment: 4 pages with 3 figure
Energy funneling in a bent chain of Morse oscillators with long-range coupling
A bent chain of coupled Morse oscillators with long-range dispersive
interaction is considered. Moving localized excitations may be trapped in the
bending region. Thus chain geometry acts like an impurity. An energy funneling
effect is observed in the case of random initial conditions.Comment: 6 pages, 12 figures. Submitted to Physical Review E, Oct. 13, 200
Modulational instability in periodic quadratic nonlinear materials
We investigate the modulational instability of plane waves in quadratic
nonlinear materials with linear and nonlinear quasi-phase-matching gratings.
Exact Floquet calculations, confirmed by numerical simulations, show that the
periodicity can drastically alter the gain spectrum but never completely
removes the instability. The low-frequency part of the gain spectrum is
accurately predicted by an averaged theory and disappears for certain gratings.
The high-frequency part is related to the inherent gain of the homogeneous
non-phase-matched material and is a consistent spectral feature.Comment: 4 pages, 7 figures corrected minor misprint
Nonlocal description of X waves in quadratic nonlinear materials
We study localized light bullets and X waves in quadratic media and show how the notion of nonlocality can provide an alternative simple physical picture of both types of multidimensional nonlinear waves. For X waves we show that a local cascading limit in terms of a nonlinear Schrödinger equation does not exist—one needs
to use the nonlocal description, because the nonlocal response function does not converge toward a function.
Also, we use the nonlocal theory to show that the coupling to the second harmonic is able to generate an X shape in the fundamental field despite having anomalous dispersion, in contrast to the predictions of the cascading limit
The Erd\H{o}s-Ko-Rado theorem for twisted Grassmann graphs
We present a "modern" approach to the Erd\H{o}s-Ko-Rado theorem for
Q-polynomial distance-regular graphs and apply it to the twisted Grassmann
graphs discovered in 2005 by van Dam and Koolen.Comment: 5 page
The Origin of Separable States and Separability Criteria from Entanglement-breaking Channels
In this paper, we show that an arbitrary separable state can be the output of
a certain entanglement-breaking channel corresponding exactly to the input of a
maximally entangled state. A necessary and sufficient separability criterion
and some sufficient separability criteria from entanglement-breaking channels
are given.Comment: EBCs with trace-preserving and EBCs without trace-preserving are
separately discusse
Experimental study of fusion neutron and proton yields produced by petawatt-laser-irradiated D2-3He or CD4-3He clustering gases
We report on experiments in which the Texas Petawatt laser irradiated a
mixture of deuterium or deuterated methane clusters and helium-3 gas,
generating three types of nuclear fusion reactions: D(d, 3He)n, D(d, t)p and
3He(d, p)4He. We measured the yields of fusion neutrons and protons from these
reactions and found them to agree with yields based on a simple cylindrical
plasma model using known cross sections and measured plasma parameters. Within
our measurement errors, the fusion products were isotropically distributed.
Plasma temperatures, important for the cross sections, were determined by two
independent methods: (1) deuterium ion time-of-flight, and (2) utilizing the
ratio of neutron yield to proton yield from D(d, 3He)n and 3He(d, p)4He
reactions, respectively. This experiment produced the highest ion temperature
ever achieved with laser-irradiated deuterium clusters.Comment: 16 pages, 6 figure
Temperature measurements of fusion plasmas produced by petawatt laser-irradiated D2-3He or CD4-3He clustering gases
Two different methods have been employed to determine the plasma temperature
in a laser-cluster fusion experiment on the Texas Petawatt laser. In the first,
the temperature was derived from time-of-flight data of deuterium ions ejected
from exploding D2 or CD4 clusters. In the second, the temperature was measured
from the ratio of the rates of two different nuclear fusion reactions occurring
in the plasma at the same time: D(d, 3He)n and 3He(d, p)4He. The temperatures
determined by these two methods agree well, which indicates that: i) The ion
energy distribution is not significantly distorted when ions travel in the
disassembling plasma; ii) The kinetic energy of deuterium ions, especially the
hottest part responsible for nuclear fusion, is well described by a
near-Maxwellian distribution.Comment: 13 pages, 4 figure
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