31,468 research outputs found
Anharmonic force field and vibrational frequencies of tetrafluoromethane (CF) and tetrafluorosilane (SiF)
Accurate quartic anharmonic force fields for CF and SiF have been
calculated using the CCSD(T) method and basis sets of quality. Based on
the {\it ab initio} force field with a minor empirical adjustment, the
vibrational energy levels of these two molecules and their isotopomers are
calculated by means of high order Canonical Van Vleck Perturbation Theory(CVPT)
based on curvilinear coordinates. The calculated energies agree very well with
the experimental data. The full quadratic force field of CF is further
refined to the experimental data. The symmetrization of the Cartesian basis for
any combination bands of group molecules is discussed using the circular
promotion operator for the doubly degenerate modes, together with tabulated
vector coupling coefficients. The extraction of the spectroscopic constants
from our second order transformed Hamiltonian in curvilinear coordinates is
discussed, and compared to a similar procedure in rectilinear coordinates.Comment: (submitted to J. Chem. Phys.
Image Storage in Hot Vapors
We theoretically investigate image propagation and storage in hot atomic
vapor. A system is adopted for imaging and an atomic vapor cell is placed
over the transform plane. The Fraunhofer diffraction pattern of an object in
the object plane can thus be transformed into atomic Raman coherence according
to the idea of ``light storage''. We investigate how the stored diffraction
pattern evolves under diffusion. Our result indicates, under appropriate
conditions, that an image can be reconstructed with high fidelity. The main
reason for this procedure to work is the fact that diffusion of opposite-phase
components of the diffraction pattern interfere destructively.Comment: 11 pages, 3 figure
Excitation of nonlinear ion acoustic waves in CH plasmas
Excitation of nonlinear ion acoustic wave (IAW) by an external electric field
is demonstrated by Vlasov simulation. The frequency calculated by the
dispersion relation with no damping is verified much closer to the resonance
frequency of the small-amplitude nonlinear IAW than that calculated by the
linear dispersion relation. When the wave number increases,
the linear Landau damping of the fast mode (its phase velocity is greater than
any ion's thermal velocity) increases obviously in the region of in which the fast mode is weakly damped mode. As a result, the deviation
between the frequency calculated by the linear dispersion relation and that by
the dispersion relation with no damping becomes larger with
increasing. When is not large, such as , the nonlinear IAW can be excited by the driver with the linear frequency
of the modes. However, when is large, such as
, the linear frequency can not be applied to exciting the
nonlinear IAW, while the frequency calculated by the dispersion relation with
no damping can be applied to exciting the nonlinear IAW.Comment: 10 pages, 9 figures, Accepted by POP, Publication in August 1
Decentralized Estimation over Orthogonal Multiple-access Fading Channels in Wireless Sensor Networks - Optimal and Suboptimal Estimators
Optimal and suboptimal decentralized estimators in wireless sensor networks
(WSNs) over orthogonal multiple-access fading channels are studied in this
paper. Considering multiple-bit quantization before digital transmission, we
develop maximum likelihood estimators (MLEs) with both known and unknown
channel state information (CSI). When training symbols are available, we derive
a MLE that is a special case of the MLE with unknown CSI. It implicitly uses
the training symbols to estimate the channel coefficients and exploits the
estimated CSI in an optimal way. To reduce the computational complexity, we
propose suboptimal estimators. These estimators exploit both signal and data
level redundant information to improve the estimation performance. The proposed
MLEs reduce to traditional fusion based or diversity based estimators when
communications or observations are perfect. By introducing a general message
function, the proposed estimators can be applied when various analog or digital
transmission schemes are used. The simulations show that the estimators using
digital communications with multiple-bit quantization outperform the estimator
using analog-and-forwarding transmission in fading channels. When considering
the total bandwidth and energy constraints, the MLE using multiple-bit
quantization is superior to that using binary quantization at medium and high
observation signal-to-noise ratio levels
Heavy-tailed statistics in short-message communication
Short-message (SM) is one of the most frequently used communication channels
in the modern society. In this Brief Report, based on the SM communication
records provided by some volunteers, we investigate the statistics of SM
communication pattern, including the interevent time distributions between two
consecutive short messages and two conversations, and the distribution of
message number contained by a complete conversation. In the individual level,
the current empirical data raises a strong evidence that the human activity
pattern, exhibiting a heavy-tailed interevent time distribution, is driven by a
non-Poisson nature.Comment: 4 pages, 4 figures and 1 tabl
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