9,098 research outputs found
Quantum molecular dynamics simulations for the nonmetal-metal transition in shocked methane
We have performed quantum molecular-dynamics simulations for methane under
shock compressions up to 80 GPa. We obtain good agreement with available
experimental data for the principal Hugoniot, derived from the equation of
state. A systematic study of the optical conductivity spectra, one-particle
density of states, and the distributions of the electronic charge over
supercell at Hugoniot points shows that the transition of shocked methane to a
metallic state takes place close to the density at which methane dissociates
significantly into molecular hydrogen and some long alkane chains. Through
analyzing the pair correlation function, we predict the chemical picture of the
shocked methane. In contrast to usual assumptions used for high pressure
modeling of methane, we find that no diamond-like configurations occurs for the
whole density-temperature range studied.Comment: Some revisions have been given in response to referees' sugestion
The Hunter-Saxton equation: remarkable structures of symmetries and conserved densities
In this paper, we present extraordinary algebraic and geometrical structures
for the Hunter-Saxton equation: infinitely many commuting and non-commuting
-independent higher order symmetries and conserved densities. Using a
recursive relation, we explicitly generate infinitely many higher order
conserved densities dependent on arbitrary parameters. We find three Nijenhuis
recursion operators resulting from Hamiltonian pairs, of which two are new.
They generate three hierarchies of commuting local symmetries. Finally, we give
a local recursion operator depending on an arbitrary parameter.
As a by-product, we classify all anti-symmetric operators of a definite form
that are compatible with the Hamiltonian operator
Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory
Magnetic skyrmions are promising for building next-generation magnetic
memories and spintronic devices due to their stability, small size and the
extremely low currents needed to move them. In particular, skyrmion-based
racetrack memory is attractive for information technology, where skyrmions are
used to store information as data bits instead of traditional domain walls.
Here we numerically demonstrate the impacts of skyrmion-skyrmion and
skyrmion-edge repulsions on the feasibility of skyrmion-based racetrack memory.
The reliable and practicable spacing between consecutive skyrmionic bits on the
racetrack as well as the ability to adjust it are investigated. Clogging of
skyrmionic bits is found at the end of the racetrack, leading to the reduction
of skyrmion size. Further, we demonstrate an effective and simple method to
avoid the clogging of skyrmionic bits, which ensures the elimination of
skyrmionic bits beyond the reading element. Our results give guidance for the
design and development of future skyrmion-based racetrack memory.Comment: 15 pages, 6 figure
Effective Vortex Mass from Microscopic Theory
We calculate the effective mass of a single quantized vortex in the BCS
superconductor at finite temperature. Based on effective action approach, we
arrive at the effective mass of a vortex as integral of the spectral function
divided by over frequency. The spectral function is
given in terms of the quantum-mechanical transition elements of the gradient of
the Hamiltonian between two Bogoliubov-deGennes (BdG) eigenstates. Based on
self-consistent numerical diagonalization of the BdG equation we find that the
effective mass per unit length of vortex at zero temperature is of order (=Fermi momentum, =coherence length), essentially
equaling the electron mass displaced within the coherence length from the
vortex core. Transitions between the core states are responsible for most of
the mass. The mass reaches a maximum value at and decreases
continuously to zero at .Comment: Supercedes prior version, cond-mat/990312
Angoricity and compactivity describe the jamming transition in soft particulate matter
The application of concepts from equilibrium statistical mechanics to
out-of-equilibrium systems has a long history of describing diverse systems
ranging from glasses to granular materials. For dissipative jammed systems--
particulate grains or droplets-- a key concept is to replace the energy
ensemble describing conservative systems by the volume-stress ensemble. Here,
we test the applicability of the volume-stress ensemble to describe the jamming
transition by comparing the jammed configurations obtained by dynamics with
those averaged over the ensemble as a probe of ergodicity. Agreement between
both methods suggests the idea of "thermalization" at a given angoricity and
compactivity. We elucidate the thermodynamic order of the jamming transition by
showing the absence of critical fluctuations in static observables like
pressure and volume. The approach allows to calculate observables such as the
entropy, volume, pressure, coordination number and distribution of forces to
characterize the scaling laws near the jamming transition from a statistical
mechanics viewpoint.Comment: 27 pages, 13 figure
Statistics of X-ray flares of Sagittarius A*: evidence for solar-like self-organized criticality phenomenon
X-ray flares have routinely been observed from the supermassive black hole,
Sagittarius A (Sgr A), at our Galactic center. The nature of
these flares remains largely unclear, despite of many theoretical models. In
this paper, we study the statistical properties of the Sgr A X-ray
flares, by fitting the count rate (CR) distribution and the structure function
(SF) of the light curve with a Markov Chain Monte Carlo (MCMC) method. With the
3 million second \textit{Chandra} observations accumulated in the Sgr A
X-ray Visionary Project, we construct the theoretical light curves through
Monte Carlo simulations. We find that the keV X-ray light curve can be
decomposed into a quiescent component with a constant count rate of
count s and a flare component with a power-law
fluence distribution with . The duration-fluence correlation can also be modelled as a
power-law with (
confidence). These statistical properties are consistent with the theoretical
prediction of the self-organized criticality (SOC) system with the spatial
dimension . We suggest that the X-ray flares represent plasmoid
ejections driven by magnetic reconnection (similar to solar flares) in the
accretion flow onto the black hole.Comment: to appear in Ap
Continuous-Variable Spatial Entanglement for Bright Optical Beams
A light beam is said to be position squeezed if its position can be
determined to an accuracy beyond the standard quantum limit. We identify the
position and momentum observables for bright optical beams and show that
position and momentum entanglement can be generated by interfering two
position, or momentum, squeezed beams on a beam splitter. The position and
momentum measurements of these beams can be performed using a homodyne detector
with local oscillator of an appropriate transverse beam profile. We compare
this form of spatial entanglement with split detection-based spatial
entanglement.Comment: 7 pages, 3 figures, submitted to PR
Systematic Theoretical Search for Dibaryons in a Relativistic Model
A relativistic quark potential model is used to do a systematic search for
quasi-stable dibaryon states in the , , and three flavor world.
Flavor symmetry breaking and channel coupling effects are included and an
adiabatic method and fractional parentage expansion technique are used in the
calculations. The relativistic model predicts dibaryon candidates completely
consistent with the nonrelativistic model.Comment: 12 pages, latex, no figure
Polarization Squeezing of Continuous Variable Stokes Parameters
We report the first direct experimental characterization of continuous
variable quantum Stokes parameters. We generate a continuous wave light beam
with more than 3 dB of simultaneous squeezing in three of the four Stokes
parameters. The polarization squeezed beam is produced by mixing two quadrature
squeezed beams on a polarizing beam splitter. Depending on the squeezed
quadrature of these two beams the quantum uncertainty volume on the
Poincar\'{e} sphere became a `cigar' or `pancake'-like ellipsoid.Comment: 4 pages, 5 figure
The d' dibaryon in the quark-delocalization, color-screening model
We study the questions of the existence and mass of the proposed dibaryon in the quark-delocalization, color-screening model
(QDCSM). The transformation between physical and symmetry bases has been
extended to the cases beyond the SU(2) orbital symmetry. Using parameters fixed
by baryon properties and scattering, we find a mild attraction in the
channel, but it is not strong enough to form a deeply bound state
as proposed for the state. Nor does the (isospin) I=2 N
configuration have a deeply bound state. These results show that if a narrow
dibaryon state does exist, it must have a more complicated structure.Comment: 12 pp. latex, no figs., 2 tables, additional refs., Report-no was
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