57,235 research outputs found
Origin of spin reorientation transitions in antiferromagnetic MnPt-based alloys
Antiferromagnetic MnPt exhibits a spin reorientation transition (SRT) as a
function of temperature, and off-stoichiometric Mn-Pt alloys also display SRTs
as a function of concentration. The magnetocrystalline anisotropy in these
alloys is studied using first-principles calculations based on the coherent
potential approximation and the disordered local moment method. The anisotropy
is fairly small and sensitive to the variations in composition and temperature
due to the cancellation of large contributions from different parts of the
Brillouin zone. Concentration and temperature-driven SRTs are found in
reasonable agreement with experimental data. Contributions from specific
band-structure features are identified and used to explain the origin of the
SRTs.Comment: 6 pages, 8 figure
Computing the Girth of a Planar Graph in Linear Time
The girth of a graph is the minimum weight of all simple cycles of the graph.
We study the problem of determining the girth of an n-node unweighted
undirected planar graph. The first non-trivial algorithm for the problem, given
by Djidjev, runs in O(n^{5/4} log n) time. Chalermsook, Fakcharoenphol, and
Nanongkai reduced the running time to O(n log^2 n). Weimann and Yuster further
reduced the running time to O(n log n). In this paper, we solve the problem in
O(n) time.Comment: 20 pages, 7 figures, accepted to SIAM Journal on Computin
Alfven seismic vibrations of crustal solid-state plasma in quaking paramagnetic neutron star
Magneto-solid-mechanical model of two-component, core-crust, paramagnetic
neutron star responding to quake-induced perturbation by differentially
rotational, torsional, oscillations of crustal electron-nuclear solid-state
plasma about axis of magnetic field frozen in the immobile paramagnetic core is
developed. Particular attention is given to the node-free torsional
crust-against-core vibrations under combined action of Lorentz magnetic and
Hooke's elastic forces; the damping is attributed to Newtonian force of shear
viscose stresses in crustal solid-state plasma. The spectral formulae for the
frequency and lifetime of this toroidal mode are derived in analytic form and
discussed in the context of quasi-periodic oscillations of the X-ray outburst
flux from quaking magnetars. The application of obtained theoretical spectra to
modal analysis of available data on frequencies of oscillating outburst
emission suggests that detected variability is the manifestation of crustal
Alfven's seismic vibrations restored by Lorentz force of magnetic field
stresses.Comment: 10 pages, 10 figure
Exposing the dressed quark's mass
This snapshot of recent progress in hadron physics made in connection with
QCD's Dyson-Schwinger equations includes: a perspective on confinement and
dynamical chiral symmetry breaking (DCSB); a pre'cis on the physics of
in-hadron condensates; results on the hadron spectrum, including
dressed-quark-core masses for the nucleon and Delta, their first radial
excitations, and the parity-partners of these states; an illustration of the
impact of DCSB on the electromagnetic pion form factor, thereby exemplifying
how data can be used to chart the momentum-dependence of the dressed-quark mass
function; and a prediction that F_1^{p,d}/F_1^{p,u} passes through zero at
Q^2\approx 5m_N^2 owing to the presence of nonpointlike scalar and axial-vector
diquark correlations in the nucleon.Comment: 10 pages, 4 figures, 2 tables. Contribution to the Proceedings of the
4th Workshop on Exclusive Reactions at High Momentum Transfer, Thomas
Jefferson National Accelerator Facility Newport News, Virginia, 18-21 May
201
Rational Approximate Symmetries of KdV Equation
We construct one-parameter deformation of the Dorfman Hamiltonian operator
for the Riemann hierarchy using the quasi-Miura transformation from topological
field theory. In this way, one can get the approximately rational symmetries of
KdV equation and then investigate its bi-Hamiltonian structure.Comment: 14 pages, no figure
Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode
The fluid-dynamical model of a self-gravitating mass of viscous liquid with
singular density at the center vibrating in fundamental mode is considered in
juxtaposition with that for Kelvin fundamental mode in a homogeneous heavy mass
of incompressible inviscid liquid. Particular attention is given to the
difference between spectral formulae for the frequency and lifetime of -mode
in the singular and homogeneous models. The newly obtained results are
discussed in the context of theoretical asteroseismology of pre-white dwarf
stage of red giants and stellar cocoons -- spherical gas-dust clouds with dense
star-forming core at the center.Comment: Mod. Phys. Lett. A, Vol. 24, No. 40 (2009) pp. 3257-327
On theories of random variables
We study theories of spaces of random variables: first, we consider random
variables with values in the interval , then with values in an arbitrary
metric structure, generalising Keisler's randomisation of classical structures.
We prove preservation and non-preservation results for model theoretic
properties under this construction: i) The randomisation of a stable structure
is stable. ii) The randomisation of a simple unstable structure is not simple.
We also prove that in the randomised structure, every type is a Lascar type
Junctions of multiple quantum wires with different Luttinger parameters
Within the framework of boundary conformal field theory, we evaluate the
conductance of stable fixed points of junctions of two and three quantum wires
with different Luttinger parameters. For two wires, the physical properties are
governed by a single effective Luttinger parameters for each of the charge and
spin sectors. We present numerical density-matrix-renormalization-group
calculations of the conductance of a junction of two chains of interacting
spinless fermions with different interaction strengths, obtained using a
recently developed method [Phys. Rev. Lett. 105, 226803 (2010)]. The numerical
results show very good agreement with the analytical predictions. For three
spinless wires, i.e., a Y junction, we analytically determine the full phase
diagram, and compute all fixed-point conductances as a function of the three
Luttinger parameters.Comment: 13 pages, 6 figure
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