2,785 research outputs found
Magnetic Reconnection Onset via Disruption of a Forming Current Sheet by the Tearing Instability
The recent realization that Sweet-Parker current sheets are violently
unstable to the secondary tearing (plasmoid) instability implies that such
current sheets cannot occur in real systems. This suggests that, in order to
understand the onset of magnetic reconnection, one needs to consider the growth
of the tearing instability in a current layer as it is being formed. Such an
analysis is performed here in the context of nonlinear resistive MHD for a
generic time-dependent equilibrium representing a gradually forming current
sheet. It is shown that two onset regimes, single-island and multi-island, are
possible, depending on the rate of current sheet formation. A simple model is
used to compute the criterion for transition between these two regimes, as well
as the reconnection onset time and the current sheet parameters at that moment.
For typical solar corona parameters this model yields results consistent with
observations.Comment: 5 pages, no figures; accepted for publication in Physical Review
Letter
Plasmoid and Kelvin-Helmholtz instabilities in Sweet-Parker current sheets
A 2D linear theory of the instability of Sweet-Parker (SP) current sheets is
developed in the framework of Reduced MHD. A local analysis is performed taking
into account the dependence of a generic equilibrium profile on the outflow
coordinate. The plasmoid instability [Loureiro et al, Phys. Plasmas {\bf 14},
100703 (2007)] is recovered, i.e., current sheets are unstable to the formation
of a large-wave-number chain of plasmoids (k_{\rm max}\Lsheet \sim S^{3/8},
where is the wave-number of fastest growing mode, S=\Lsheet
V_A/\eta is the Lundquist number, \Lsheet is the length of the sheet,
is the Alfv\'en speed and is the plasma resistivity), which grows
super-Alfv\'enically fast (\gmax\tau_A\sim S^{1/4}, where \gmax is the
maximum growth rate, and \tau_A=\Lsheet/V_A). For typical background
profiles, the growth rate and the wave-number are found to {\it increase} in
the outflow direction. This is due to the presence of another mode, the
Kelvin-Helmholtz (KH) instability, which is triggered at the periphery of the
layer, where the outflow velocity exceeds the Alfv\'en speed associated with
the upstream magnetic field. The KH instability grows even faster than the
plasmoid instability, \gmax \tau_A \sim k_{\rm max} \Lsheet\sim S^{1/2}. The
effect of viscosity () on the plasmoid instability is also addressed. In
the limit of large magnetic Prandtl numbers, , it is found that
\gmax\sim S^{1/4}Pm^{-5/8} and k_{\rm max} \Lsheet\sim S^{3/8}Pm^{-3/16},
leading to the prediction that the critical Lundquist number for plasmoid
instability in the regime is \Scrit\sim 10^4Pm^{1/2}. These results
are verified via direct numerical simulation of the linearized equations, using
a new, analytical 2D SP equilibrium solution.Comment: 21 pages, 9 figures, submitted to Phys. Rev.
Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas
A numerical study of magnetic reconnection in the large-Lundquist-number
(), plasmoid-dominated regime is carried out for up to . The
theoretical model of Uzdensky {\it et al.} [Phys. Rev. Lett. {\bf 105}, 235002
(2010)] is confirmed and partially amended. The normalized reconnection rate is
\normEeff\sim 0.02 independently of for . The plasmoid flux
() and half-width () distribution functions scale as and . The joint distribution of and
shows that plasmoids populate a triangular region ,
where is the reconnecting field. It is argued that this feature is due to
plasmoid coalescence. Macroscopic "monster" plasmoids with % of the
system size are shown to emerge in just a few Alfv\'en times, independently of
, suggesting that large disruptive events are an inevitable feature of
large- reconnection.Comment: 5 pages, 6 figures, submitted for publicatio
Gender Matters! Analyzing Global Cultural Gender Preferences for Venues Using Social Sensing
Gender differences is a phenomenon around the world actively researched by
social scientists. Traditionally, the data used to support such studies is
manually obtained, often through surveys with volunteers. However, due to their
inherent high costs because of manual steps, such traditional methods do not
quickly scale to large-size studies. We here investigate a particular aspect of
gender differences: preferences for venues. To that end we explore the use of
check-in data collected from Foursquare to estimate cultural gender preferences
for venues in the physical world. For that, we first demonstrate that by
analyzing the check-in data in various regions of the world we can find
significant differences in preferences for specific venues between gender
groups. Some of these significant differences reflect well-known cultural
patterns. Moreover, we also gathered evidence that our methodology offers
useful information about gender preference for venues in a given region in the
real world. This suggests that gender and venue preferences observed may not be
independent. Our results suggests that our proposed methodology could be a
promising tool to support studies on gender preferences for venues at different
spatial granularities around the world, being faster and cheaper than
traditional methods, besides quickly capturing changes in the real world
Effect of current corrugations on the stability of the tearing mode
The generation of zonal magnetic fields in laboratory fusion plasmas is
predicted by theoretical and numerical models and was recently observed
experimentally. It is shown that the modification of the current density
gradient associated with such corrugations can significantly affect the
stability of the tearing mode. A simple scaling law is derived that predicts
the impact of small stationary current corrugations on the stability parameter
. The described destabilization mechanism can provide an explanation
for the trigger of the Neoclassical Tearing Mode (NTM) in plasmas without
significant MHD activity.Comment: Accepted to Physics of Plasma
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