822 research outputs found
Tomography of full sawtooth crashes on the Tokamak Fusion Test Reactor
Full sawtooth crashes in high temperature plasmas have been investigated on the Tokamak Fusion Test Reactor (TFTR) [Plasma Phys. Controlled Fusion 33, 1509 (1991)]. A strong asymmetry in the direction of major radius, a feature of the ballooning mode, and a remaining m=1 region after the crash have been observed with electron cyclotron emission image reconstructions. The TFTR data is not consistent with two-dimensional (2-D) models; it rather suggests a three-dimensional (3-D) localized reconnection arising on the bad curvature side. This process explains the phenomenon of fast heat transfer which keeps the condition q0<1
Tomography of (2, 1) and (3, 2) magnetic island structures on Tokamak Fusion Test Reactor
High-resolution electron cyclotron emission (ECE) image reconstruction has been used to observe (m,n)=(2,1) and (3, 2) island structures on Tokamak Fusion Test Reactor [Plasma Phys. Controlled. Fusion 33, 1509 (1991)], where m and n are the poloidal and the toroidal mode number, respectively. The observed island structure is compared with other diagnostics, such as soft x-ray tomography and magnetic measurements. A cold elliptic island is observed after lithium pellet injection. Evidence for the enhancement of the heat transfer due to the island is observed. A relaxation phenomenon due to the m=2 mode is newly observed in Ohmic plasmas
Anisotropic Superexchange for nearest and next nearest coppers in chain, ladder and lamellar cuprates
We present a detailed calculation of the magnetic couplings between
nearest-neighbor and next-nearest-neighbor coppers in the edge-sharing
geometry, ubiquitous in many cuprates. In this geometry, the interaction
between nearest neighbor coppers is mediated via two oxygens, and the Cu-O-Cu
angle is close to 90 degrees. The derivation is based on a perturbation
expansion of a general Hubbard Hamiltonian, and produces numerical estimates
for the various magnetic energies. In particular we find the dependence of the
anisotropy energies on the angular deviation away from the 90 degrees geometry
of the Cu-O-Cu bonds. Our results are required for the correct analysis of the
magnetic structure of various chain, ladder and lamellar cuprates.Comment: 13 pages, Latex, 7 figure
Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
We investigate small equal-mass two-component Fermi gases under external
spherically symmetric confinement in which atoms with opposite spins interact
through a short-range two-body model potential. We employ a non-perturbative
microscopic framework, the stochastic variational approach, and determine the
system properties as functions of the interspecies s-wave scattering length a,
the orbital angular momentum L of the system, and the numbers N1 and N2 of
spin-up and spin-down atoms (with N1-N2 =0 or 1 and N < 7, where N=N1+N2). At
unitarity, we determine the energies of the five- and six-particle systems for
various ranges r0 of the underlying two-body model potential and extrapolate to
the zero-range limit. These energies serve as benchmark results that can be
used to validate and assess other numerical approaches. We also present
structural properties such as the pair distribution function and the radial
density. Furthermore, we analyze the one-body and two-body density matrices. A
measure for the molecular condensate fraction is proposed and applied. Our
calculations show explicitly that the natural orbitals and the momentum
distributions of atomic Fermi gases approach those characteristic for a
molecular Bose gas if the s-wave scattering length a, a>0, is sufficiently
small.Comment: 21 pages, 15 figures; accepted for publication in special issue of
CRA
Magnetic Field Induced Spin Polarization of AlAs Two-dimensional Electrons
Two-dimensional (2D) electrons in an in-plane magnetic field become fully
spin polarized above a field B_P, which we can determine from the in-plane
magnetoresistance. We perform such measurements in modulation-doped AlAs
electron systems, and find that the field B_P increases approximately linearly
with 2D electron density. These results imply that the product |g*|m*, where g*
is the effective g-factor and m* the effective mass, is a constant essentially
independent of density. While the deduced |g*|m* is enhanced relative to its
band value by a factor of ~ 4, we see no indication of its divergence as 2D
density approaches zero. These observations are at odds with results obtained
in Si-MOSFETs, but qualitatively confirm spin polarization studies of 2D GaAs
carriers.Comment: 4 pages, 5 figure
The Dirac system on the Anti-de Sitter Universe
We investigate the global solutions of the Dirac equation on the
Anti-de-Sitter Universe. Since this space is not globally hyperbolic, the
Cauchy problem is not, {\it a priori}, well-posed. Nevertheless we can prove
that there exists unitary dynamics, but its uniqueness crucially depends on the
ratio beween the mass of the field and the cosmological constant
: it appears a critical value, , which plays a role
similar to the Breitenlohner-Freedman bound for the scalar fields. When
there exists a unique unitary dynamics. In opposite, for
the light fermions satisfying , we construct several asymptotic
conditions at infinity, such that the problem becomes well-posed. In all the
cases, the spectrum of the hamiltonian is discrete. We also prove a result of
equipartition of the energy.Comment: 33 page
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