28,815 research outputs found
A comparison of spectral element and finite difference methods using statically refined nonconforming grids for the MHD island coalescence instability problem
A recently developed spectral-element adaptive refinement incompressible
magnetohydrodynamic (MHD) code [Rosenberg, Fournier, Fischer, Pouquet, J. Comp.
Phys. 215, 59-80 (2006)] is applied to simulate the problem of MHD island
coalescence instability (MICI) in two dimensions. MICI is a fundamental MHD
process that can produce sharp current layers and subsequent reconnection and
heating in a high-Lundquist number plasma such as the solar corona [Ng and
Bhattacharjee, Phys. Plasmas, 5, 4028 (1998)]. Due to the formation of thin
current layers, it is highly desirable to use adaptively or statically refined
grids to resolve them, and to maintain accuracy at the same time. The output of
the spectral-element static adaptive refinement simulations are compared with
simulations using a finite difference method on the same refinement grids, and
both methods are compared to pseudo-spectral simulations with uniform grids as
baselines. It is shown that with the statically refined grids roughly scaling
linearly with effective resolution, spectral element runs can maintain accuracy
significantly higher than that of the finite difference runs, in some cases
achieving close to full spectral accuracy.Comment: 19 pages, 17 figures, submitted to Astrophys. J. Supp
Broken time-reversal symmetry in Josephson junction involving two-band superconductors
A novel time-reversal symmetry breaking state is found theoretically in the
Josephson junction between the two-gap superconductor and the conventional
s-wave superconductor. This occurs due to the frustration between the three
order parameters analogous to the two antiferromagnetically coupled XY-spins
put under a magnetic field. This leads to the interface states with the
energies inside the superconducting gap. Possible experimental observations of
this state with broken time-reversal symmetry are discussed.Comment: 9 pages, 1 figur
Screened Interaction and Self-Energy in an Infinitesimally Polarized Electron Gas via the Kukkonen-Overhauser Method
The screened electron-electron interaction and the
electron self-energy in an infinitesimally polarized electron gas are derived
by extending the approach of Kukkonen and Overhauser. Various quantities in the
expression for are identified in terms of the relevant
response functions of the electron gas. The self-energy is obtained from
by making use of the GW method which in this case
represents a consistent approximation. Contact with previous calculations is
made.Comment: 7 page
Photonic Clusters
We show through rigorous calculations that dielectric microspheres can be
organized by an incident electromagnetic plane wave into stable cluster
configurations, which we call photonic molecules. The long-range optical
binding force arises from multiple scattering between the spheres. A photonic
molecule can exhibit a multiplicity of distinct geometries, including
quasicrystal-like configurations, with exotic dynamics. Linear stability
analysis and dynamical simulations show that the equilibrium configurations can
correspond with either stable or a type of quasi-stable states exhibiting
periodic particle motion in the presence of frictional dissipation.Comment: 4 pages, 3 figure
An automated method for mapping geomorphological expressions of former subglacial meltwater pathways (hummock corridors) from high resolution digital elevation data
Elongated tracts of hummocks or ‘hummock corridors’, exposed on palaeo-ice sheet beds, are believed to represent former subglacial meltwater pathways. Here, we present a method, coded in MATLAB, for automatically detecting and mapping hummock corridors from high-resolution digital elevation models (DEMs). Initially the DEM is filtered to remove bed roughness outside the size range of hummocks. A Fast Fourier Transform is then performed to determine the dominant orientation of hummock corridors and remove misaligned features. Finally, image segmentation is used to isolate and extract the hummock corridors as a binary mask. We tested this automated approach visually and statistically against detailed manual mapping in three areas of Canada and northern Scandinavia. Results show that while the automated method does not perfectly reproduce the manual mapping, it successfully captures the general configuration, morphometry (length, width) and location of hummock corridors, despite variation in expression across and between sites. This technique is ideally suited to take advantage of newly available high-resolution digital elevation data (e.g. the ArcticDEM), whose enormous volume makes large-scale manual mapping prohibitively time consuming. Its application will enable efficient and comprehensive mapping of the spatial distribution of hummock corridors across palaeo-beds that is necessary for deriving insights into their formation and the organisation of subglacial meltwater flow beneath ice sheets
Entangled light from Bose-Einstein condensates
We propose a method to generate entangled light with a Bose-Einstein
condensate trapped in a cavity, a system realized in recent experiments. The
atoms of the condensate are trapped in a periodic potential generated by a
cavity mode. The condensate is continuously pumped by a laser and spontaneously
emits a pair of photons of different frequencies in two distinct cavity modes.
In this way, the condensate mediates entanglement between two cavity modes
which leak out and can be separated and exhibit continuous variable
entanglement. The scheme exploits the experimentally demonstrated strong,
steady and collective coupling of condensate atoms to a cavity field.Comment: 5 pages and 5 figure
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