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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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gradual flare<br />

gradual flare Solar flare with long-lasting<br />

electromagnetic radiation, originating high in<br />

the corona. In more detail, the properties of<br />

gradual flares are: (a) the soft X-ray emission<br />

lasts for more than 1 h, (b) the decay constant of<br />

the soft X-ray emission is larger than 10 min,<br />

(c) the duration in hard X-rays is at least 10<br />

min, (d) the duration in microwaves is at least<br />

5 min, (e) gradual flares are always accompanied<br />

by metric type II <strong>and</strong> metric type IV bursts,<br />

metric type III bursts are observed in half of<br />

the gradual flares, (f) the height in the corona is<br />

about 5·10 4 km, (g) the flare volume is between<br />

10 28 cm 3 <strong>and</strong> 10 29 cm 3 , (h) the energy density<br />

is low, (i) the size in Hα is large, <strong>and</strong> (j) gradual<br />

flares are always accompanied by coronal mass<br />

ejections.<br />

If a gradual flare gives rise to an energetic<br />

particle event observed in interplanetary space,<br />

this event has properties different from particle<br />

events caused by impulsive flares. Many<br />

of these differences can be attributed to the interplanetary<br />

shock caused by the coronal mass<br />

ejection in gradual flares. In detail, the properties<br />

of a particle event originating in a gradual<br />

flare are: (a) the event is proton-rich with H/He<br />

being about 100, (b) the 3 He/ 4 He ratio is about<br />

0.0005 which is the ratio observed in the solar<br />

wind, (c) the Fe/O ratio is 0.155, which is also<br />

close to the ratio in the solar wind, (d) the charge<br />

state of iron is about 14, which suggests rather<br />

low temperatures in the acceleration region <strong>and</strong><br />

therefore acceleration out of the corona or the solar<br />

wind, (e) the particle event in interplanetary<br />

space at the orbit of Earth lasts for some days,<br />

(f) particles can be observed over a longitude<br />

cone of about 180 ◦ , <strong>and</strong> (g) an interplanetary<br />

shock is observed. Occurrence of such events is<br />

about 10 per year.<br />

The distinct feature of the gradual flare is the<br />

coronal mass ejection <strong>and</strong> consequently the interplanetary<br />

shock. Some instability below a<br />

filament causes reconnection at the anchoring<br />

field lines which leads to heating <strong>and</strong> the generation<br />

of electromagnetic radiation (the flare) <strong>and</strong><br />

to a disconnection <strong>and</strong> expulsion of the filament<br />

(the coronal mass ejection).<br />

gradually varied flow A description of flow<br />

in an open channel (such as a canal or river)<br />

which assumes that the rate of change of depth<br />

© 2001 by CRC Press LLC<br />

206<br />

is small (i.e., h/L is small, where h is the<br />

change in depth, <strong>and</strong> L is the distance over which<br />

the depth changes).<br />

Grad–Vasyliunas theorem An equation<br />

used in the study of guiding center plasmas in<br />

the Earth’s magnetic field, an equivalent formulation<br />

of force balance. It assumes that under<br />

the influence of convection electric fields, the<br />

plasma of each flux tube moves together, from<br />

one tube to another, that its particle motion has<br />

no preferred direction (isotropy), that a scalar<br />

(rather than tensor) pressure p can be used, <strong>and</strong><br />

that Euler potentials (α, β) of the magnetic field<br />

are given. Under those assumptions, it relates<br />

the field aligned current density j|| with the distributions<br />

of pressure p(α, β) <strong>and</strong> of specific volume<br />

V(α, β), as j|| =|∇V(α,β)×∇p(α, β)|.<br />

Since the above assumptions are best met in the<br />

Earth’s plasma sheet, it has been widely used to<br />

deal with plasma convection there. Also known<br />

as Vasyliunas theorem.<br />

grain-boundary migration To help minimize<br />

the energy of the solid materials in response<br />

to changing P-T conditions, the atoms<br />

forming the contacts between individual grains<br />

self rearrange to a more stable configuration. To<br />

a large extent this is achieved by the process of<br />

grain-boundary migration. This involves movement<br />

at a high angle to the plane of the grain<br />

boundary. Such a process usually produces<br />

regular interfaces <strong>and</strong> a polygonal aggregate of<br />

grain.<br />

grain-boundary sliding Movement of grains<br />

is limited within the plane of the grain boundary.<br />

Grain-boundary sliding can be envisaged<br />

in terms of the physical movement of individual<br />

grains past each other under an applied shear<br />

stress. Grain-boundary sliding is recognized as<br />

one of the most important deformation mechanisms<br />

in fine-grained polycrystalline aggregates,<br />

<strong>and</strong> is considered one of the main deformation<br />

mechanisms responsible for superplasticity<br />

of polycrystalline materials.<br />

grain chemistry: dense interstellar In<br />

dense interstellar media (i.e., visual extinction<br />

Av ≥ 5 magnitudes, or nH ≥ 10 4 cm −3 ), where<br />

the radiation field is attenuated <strong>and</strong> the average

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