56,143 research outputs found
Blow up solutions to a viscoelastic fluid system and a coupled Navier-Stokes/Phase-Field system in R^2
We find explicit solutions to both the Oldroyd-B model with infinite
Weissenberg number and the coupled Navier-Stokes/Phase-Field system. The
solutions blow up in finite time.Comment: 5 page
The short-time critical behaviour of the Ginzburg-Landau model with long-range interaction
The renormalisation group approach is applied to the study of the short-time
critical behaviour of the -dimensional Ginzburg-Landau model with long-range
interaction of the form in momentum space. Firstly the
system is quenched from a high temperature to the critical temperature and then
relaxes to equilibrium within the model A dynamics. The asymptotic scaling laws
and the initial slip exponents and of the order
parameter and the response function respectively, are calculated to the second
order in .Comment: 18 pages, 4 figures, 1 tabl
Approach to accurately measuring the speed of optical precursors
Precursors can serve as a bound on the speed of information with dispersive
medium. We propose a method to identify the speed of optical precursors using
polarization-based interference in a solid-state device, which can bound the
accuracy of the precursors' speed to less than with conventional
experimental conditions. Our proposal may have important implications for
optical communications and fast information processing.Comment: 4 pages, 4 figure
Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction
Thermal entanglement of a two-qubit Heisenberg chain in presence of the
Dzyaloshinski-Moriya (DM) anisotropic antisymmetric interaction and
entanglement teleportation when using two independent Heisenberg chains as
quantum channel are investigated. It is found that the DM interaction can
excite the entanglement and teleportation fidelity. The output entanglement
increases linearly with increasing value of input one, its dependences on the
temperature, DM interaction and spin coupling constant are given in detail.
Entanglement teleportation will be better realized via antiferromagnetic spin
chain when the DM interaction is turned off and the temperature is low.
However, the introduction of DM interaction can cause the ferromagnetic spin
chain to be a better quantum channel for teleportation. A minimal entanglement
of the thermal state in the model is needed to realize the entanglement
teleportation regardless of antiferromagnetic or ferromagnetic spin chains.Comment: 1 tex;5eps. accepted by Physical Review
The detection of freezing of gait in Parkinson's disease using asymmetric basis function TV-ARMA time-frequency spectral estimation method
Freezing of gait (FOG) is an episodic gait disturbance affecting locomotion in Parkinson’s disease. As a biomarker to detect FOG, the Freeze index (FI), which is defined as the ratio of the areas under power spectra in ‘freeze’ band and in ‘locomotion’ band, can negatively be affected by poor time and frequency resolution of time-frequency spectrum estimate when short-time Fourier transform (STFT) or Wavelet transform (WT) is used. In this study, a novel high-resolution parametric time-frequency spectral estimation method is proposed to improve the accuracy of FI. A time-varying autoregressive moving average model (TV-ARMA) is first identified where the time-varying parameters are estimated using an asymmetric basis function expansion method. The TV-ARMA model is then transformed into frequency domain to estimate the time-frequency spectrum and calculate the FI. Results evaluated on the Daphnet Freezing of Gait Dataset show that the new method improves the time and frequency resolutions of the time-frequency spectrum and the associate FI has better performance in the detection of FOG than its counterparts based on STFT and WT methods do. Moreover, FOGs can be predicted in advance of its occurrence in most cases using the new method
- …