49 research outputs found
A semi-implicit Hall-MHD solver using whistler wave preconditioning
The dispersive character of the Hall-MHD solutions, in particular the
whistler waves, is a strong restriction to numerical treatments of this system.
Numerical stability demands a time step dependence of the form for explicit calculations. A new semi--implicit scheme for
integrating the induction equation is proposed and applied to a reconnection
problem. It it based on a fix point iteration with a physically motivated
preconditioning. Due to its convergence properties, short wavelengths converge
faster than long ones, thus it can be used as a smoother in a nonlinear
multigrid method
Numerical Simulation of Current Sheet Formation in a Quasi-Separatrix Layer using Adaptive Mesh Refinement
The formation of a thin current sheet in a magnetic quasi-separatrix layer
(QSL) is investigated by means of numerical simulation using a simplified
ideal, low-, MHD model. The initial configuration and driving boundary
conditions are relevant to phenomena observed in the solar corona and were
studied earlier by Aulanier et al., A&A 444, 961 (2005). In extension to that
work, we use the technique of adaptive mesh refinement (AMR) to significantly
enhance the local spatial resolution of the current sheet during its formation,
which enables us to follow the evolution into a later stage. Our simulations
are in good agreement with the results of Aulanier et al. up to the calculated
time in that work. In a later phase, we observe a basically unarrested collapse
of the sheet to length scales that are more than one order of magnitude smaller
than those reported earlier. The current density attains correspondingly larger
maximum values within the sheet. During this thinning process, which is finally
limited by lack of resolution even in the AMR studies, the current sheet moves
upward, following a global expansion of the magnetic structure during the
quasi-static evolution. The sheet is locally one-dimensional and the plasma
flow in its vicinity, when transformed into a co-moving frame, qualitatively
resembles a stagnation point flow. In conclusion, our simulations support the
idea that extremely high current densities are generated in the vicinities of
QSLs as a response to external perturbations, with no sign of saturation.Comment: 6 Figure
Electrical Detection of Coherent Nuclear Spin Oscillations in Phosphorus-Doped Silicon Using Pulsed ENDOR
We demonstrate the electrical detection of pulsed X-band Electron Nuclear
Double Resonance (ENDOR) in phosphorus-doped silicon at 5\,K. A pulse sequence
analogous to Davies ENDOR in conventional electron spin resonance is used to
measure the nuclear spin transition frequencies of the P nuclear spins,
where the P electron spins are detected electrically via spin-dependent
transitions through Si/SiO interface states, thus not relying on a
polarization of the electron spin system. In addition, the electrical detection
of coherent nuclear spin oscillations is shown, demonstrating the feasibility
to electrically read out the spin states of possible nuclear spin qubits.Comment: 5 pages, 3 figure
Lock-in detection for pulsed electrically detected magnetic resonance
We show that in pulsed electrically detected magnetic resonance (pEDMR)
signal modulation in combination with a lock-in detection scheme can reduce the
low-frequency noise level by one order of magnitude and in addition removes the
microwave-induced non-resonant background. This is exemplarily demonstrated for
spin-echo measurements in phosphorus-doped Silicon. The modulation of the
signal is achieved by cycling the phase of the projection pulse used in pEDMR
for the read-out of the spin state.Comment: 4 pages, 2 figure