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Magnetic gradient drift
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Body
0
Curvature drift
2026-10-25
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For
a
curved
field
direction
b
=
B
/
B
,
define
the
curvature
vector
κ
=
(
b
⋅
∇
)
b
.
Motion
along curved
field
lines produces
a
gyroaveraged drift
perpendicular
to both
field
and
curvature
. In
a
purely toroidal
field
this and
magnetic gradient drift
cause
opposite vertical drifts for opposite charge
signs
.
0
Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford
/
2015
/
S16
/
3
/
3
/
Solution
2026-10-25
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A
purely toroidal
magnetic field
is stronger on the inner side of the
torus
and its
field
lines are curved. The resulting
magnetic gradient drift
and
curvature drift
move
ions
and
electrons
vertically in opposite directions. Charge separation can then produce an
electric field
whose
E-cross-B drift
moves the plasma across the nominal toroidal
confinement
region. Closing
field
lines into
circles
therefore does not by itself guarantee
confinement
.
A
tokamak
combines
a
strong externally produced toroidal
field
with
a
poloidal
field
supplied largely by toroidal plasma current.
Field
lines
wind
helically around nested
magnetic flux surfaces
.
A
particle following
a
field
line samples different vertical and radial parts of the
torus
, so the systematic
displacements
associated with the toroidal
geometry
can compensate over its
orbit
rather than accumulating
as
in the pure-toroidal case. The poloidal
field
also provides the
magnetic structure
needed for
force balance
. This improves
confinement
but does not eliminate all
orbit
losses or
transport
: trapped particles,
collisions
,
turbulence
and magnetohydrodynamic
instabilities
remain important. Maintaining the plasma current and suitable
field
-line winding is part of the
confinement
problem.
Total
articles
:
2