198,911 research outputs found
A paradigmatic flow for small-scale magnetohydrodynamics: properties of the ideal case and the collision of current sheets
We propose two sets of initial conditions for magnetohydrodynamics (MHD) in
which both the velocity and the magnetic fields have spatial symmetries that
are preserved by the dynamical equations as the system evolves. When
implemented numerically they allow for substantial savings in CPU time and
memory storage requirements for a given resolved scale separation. Basic
properties of these Taylor-Green flows generalized to MHD are given, and the
ideal non-dissipative case is studied up to the equivalent of 2048^3 grid
points for one of these flows. The temporal evolution of the logarithmic
decrements, delta, of the energy spectrum remains exponential at the highest
spatial resolution considered, for which an acceleration is observed briefly
before the grid resolution is reached. Up to the end of the exponential decay
of delta, the behavior is consistent with a regular flow with no appearance of
a singularity. The subsequent short acceleration in the formation of small
magnetic scales can be associated with a near collision of two current sheets
driven together by magnetic pressure. It leads to strong gradients with a fast
rotation of the direction of the magnetic field, a feature also observed in the
solar wind.Comment: 8 pages, 4 figure
Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
We present lattice calculations for the ground state energies of tritium,
helium-3, helium-4, lithium-6, and carbon-12 nuclei. Our results were
previously summarized in a letter publication. This paper provides full details
of the calculations. We include isospin-breaking, Coulomb effects, and
interactions up to next-to-next-to-leading order in chiral effective field
theory.Comment: 38 pages, 11 figures, final publication versio
Langley Atmospheric Information Retrieval System (LAIRS): System description and user's guide
This document presents the user's guide, system description, and mathematical specifications for the Langley Atmospheric Information Retrieval System (LAIRS). It also includes a description of an optimal procedure for operational use of LAIRS. The primary objective of the LAIRS Program is to make it possible to obtain accurate estimates of atmospheric pressure, density, temperature, and winds along Shuttle reentry trajectories for use in postflight data reduction
Synchronization transition of heterogeneously coupled oscillators on scale-free networks
We investigate the synchronization transition of the modified Kuramoto model
where the oscillators form a scale-free network with degree exponent .
An oscillator of degree is coupled to its neighboring oscillators with
asymmetric and degree-dependent coupling in the form of \couplingcoeff
k_i^{\eta-1}. By invoking the mean-field approach, we determine the
synchronization transition point , which is zero (finite) when (). We find eight different synchronization
transition behaviors depending on the values of and , and
derive the critical exponents associated with the order parameter and the
finite-size scaling in each case. The synchronization transition is also
studied from the perspective of cluster formation of synchronized vertices. The
cluster-size distribution and the largest cluster size as a function of the
system size are derived for each case using the generating function technique.
Our analytic results are confirmed by numerical simulations.Comment: 11 pages, 3 figures and two table
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