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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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adio axis <strong>and</strong> the line of sight form a larger<br />

angle in lobe-dominated objects. The jet onesidedness<br />

suggests that radiation is boosted by<br />

relativistic beaming: If the emitting particles are<br />

moving at a velocity close to the speed of light,<br />

the detection of the jet on the approaching side<br />

is strongly favored. In this case, a very large<br />

dynamical range is needed to detect the radiolobes,<br />

which, seen pole-on, may appear as a faint<br />

fuzz surrounding the core.<br />

core flow Magnetic field may be generated<br />

in a conducting fluid by fluid flow, as described<br />

by the induction equation of magnetohydrodynamics.<br />

Such flow in the Earth’s core is thought<br />

to be the generating mechanism for the bulk of<br />

the Earth’s magnetic field. The motions <strong>and</strong><br />

field within the core cannot be directly calculated<br />

from observations of the magnetic field at<br />

the Earth’s surface (although it may be possible<br />

to indirectly infer certain parts of the internal<br />

flow <strong>and</strong> field). However, observations of the<br />

surface field can be used to calculate the field<br />

at the core-mantle boundary by assuming that<br />

the electrical currents in the mantle are negligible,<br />

in which case the flow at the surface of the<br />

core is constrained using the radial component<br />

of the induction equation of magnetohydrodynamics<br />

in the frozen-flux limit (i.e., assuming<br />

that magnetic diffusion within the core may be<br />

neglected):<br />

∂Br<br />

∂t =∇H·(Bru)<br />

where Br is the radial field <strong>and</strong> u the velocity<br />

vector. Since the flow does not penetrate<br />

the core-mantle boundary, there are two components<br />

of the velocity but only one constraining<br />

equation, which means that although the above<br />

equation can be used to invert time varying models<br />

of Br for possible flows, they will not be<br />

uniquely determined. Extra constraints on the<br />

flow have been used to alleviate the nonuniqueness.<br />

See nonuniqueness.<br />

core-mantle boundary At around 3480 km<br />

from the center of the Earth, the material composition<br />

is thought to change from molten iron plus<br />

dissolved impurities (the outer core) to crystalline<br />

silicate rock (the mantle). This coremantle<br />

boundary is in terms of absolute den-<br />

© 2001 by CRC Press LLC<br />

core-mantle coupling<br />

sity contrast the Earth’s major transition, with<br />

a jump from 5.6 g/cm 3 at the base of the mantle<br />

to 9.9 g/cm 3 at the top of the core. There<br />

is also a significant contrast in viscosity (although<br />

the viscosities of both sides are poorly<br />

constrained) <strong>and</strong> also, quite possibly, conductivity<br />

(although it has been proposed that the<br />

conductivity of the base of the mantle is highly<br />

elevated). The degree to which chemical exchange<br />

occurs across the core-mantle boundary<br />

is a frequent topic of study. Analysis of seismic<br />

data has indicated significant lateral variation in<br />

seismic wave speeds at the base of the mantle<br />

<strong>and</strong> also anisotropy, <strong>and</strong> there have also been<br />

claims of seismic observations of topography of<br />

the boundary itself. See core-mantle coupling.<br />

core-mantlecoupling Thistermmaybeused<br />

to refer either to the exchange of material across<br />

the core-mantle boundary (e.g., via chemical<br />

reaction), or the exchange of momentum between<br />

parts of the core <strong>and</strong> the mantle. The<br />

mechanism for the latter type of coupling is disputed,<br />

as is the degree to which the former type<br />

of coupling occurs at all. Changes in the rotation<br />

rate <strong>and</strong> direction of the Earth’s mantle<br />

on timescales of decades are usually attributed<br />

to momentum exchange between the core <strong>and</strong><br />

the mantle, <strong>and</strong> there have been claims that the<br />

core is important on even shorter timescales,<br />

even though on subannual timescales the atmosphere<br />

is the predominant driving force for<br />

changes in Earth’s rotation. There are several<br />

possibilities for how momentum exchange may<br />

occur: viscous coupling, electromagnetic coupling,<br />

topographic coupling, <strong>and</strong> gravitational<br />

coupling. Viscous coupling is usually ruled out<br />

as the cause of the observed changes in Earth rotation<br />

because the viscosity of the core is usually<br />

regarded as very small. Electromagnetic coupling<br />

would occur via magnetic linkage between<br />

the liquid metal of the core <strong>and</strong> conductivity in<br />

the mantle, in which electrical currents would be<br />

induced by changes in the magnetic field. Topographic<br />

coupling would occur through the resistance<br />

of topography on the core-mantle boundary<br />

to flow at the top of the core, while gravitational<br />

coupling would happen if lateral variations<br />

in the density of the mantle <strong>and</strong> core are<br />

arranged so as to yield a torque between the two.<br />

See core-mantle boundary.

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