By Eric Priest, Terry Forbes
Magnetic reconnection is on the middle of many dynamic phenomena within the universe, akin to sun flares, geomagnetic substorms and tokamak disruptions. Written by way of international leaders at the topic, this quantity offers a entire evaluation of this primary strategy. assurance offers either a pedagogical account of the fundamental concept and a wide-ranging evaluate of the actual phenomena created by means of reconnection--from laboratory machines, the Earth's magnetosphere, and the Sun's surroundings to flare stars and astrophysical accretion disks. additionally it is a succinct account of particle acceleration through electrical fields, stochastic fields and surprise waves, and the way reconnection may be vital in those mechanisms. in actual fact written and hugely obtainable, this quantity serves as a vital creation for graduate scholars in sun physics, astrophysics, plasma physics and area technology. Researchers in those fields will also locate Magnetic Reconnection an authoritative reference.
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Extra resources for Magnetic Reconnection: MHD Theory and Applications
10. 5 MED Shock Waves BEHIND 33 AHEAD (a) (c) Fig. 10. Magnetic field lines for special oblique waves: (a) slow (switch-off) shock, (b) Alfven wave, and (c) fast (switch-on) shock. In each case the wave is propagating into the region ahead of it to the right of the shaded shock front. 2/(2A0 = Pi + In the limit when v\ = VAI and 1 ^ 1 , Eq. 49) implies that B2y = 0 and we have a switch-off shock [Fig. 10(a)]. 52) so that the shock propagates at the Alfven speed based on the normal component of the magnetic field and the frame of reference is moving along the shock at the Alfven speed based on the parallel component.
Applying the appropriate vector identity to the ideal induction equation gives ^ = (B • V)v - (v • V)B - B(V • v). 4 The Concepts of Frozen Flux and Field-Line Motion 25 Fig. 7. 39) dt where d/dt (= d/dt + v • V) is the total or convective derivative. To see how this result leads to the conclusion that the field lines are "frozen" to the plasma, consider an elemental segment 61 along a line moving with the plasma. If v is the plasma velocity at one end of the element and v + <5v is the velocity at the other end, then the differential velocity between the two ends is <5v = (<51 • V)v.
A) The circular field-line configuration of Example 1, and (b) the helical field-line configuration of Example 2. The velocity corresponds to a radial motion of field lines towards the origin. This motion indicates that the null point at r = 0 is a sink of magnetic flux. The corresponding Poynting flux [S = — 2r]Blr / [iirDi] indicates that there is a flow of magnetic energy from the periphery of the cylinder towards the centre. Such a flow of energy is characteristic of a cylinder or wire attached to an external electrical generator and is an example of magnetic energy continually dissipated by ohmic heating in the cylinder.
Magnetic Reconnection: MHD Theory and Applications by Eric Priest, Terry Forbes