TY - JOUR
T1 - Destabilization of the m=1 diocotron mode in non-neutral plasmas
AU - Finn, John M.
AU - Sel-Castillo-Negrete, Diego
AU - Barnes, Daniel C.
PY - 2000
Y1 - 2000
N2 - The theory for a Penning-Malmberg trap predicts m=1 diocotron stability. However, experiments with hollow profiles show robust exponential growth. We propose a new mechanism of destabilization of this mode, involving parallel compression due to end curvature. The results are in good agreement with the experiments. The resulting modified drift-Poisson equations are analogous to the geophysical shallow water equations, and conservation of line integrated density corresponds to that of potential vorticity. This analogy predicts Rossby waves in non-neutral plasmas and an m=1 instability in fluids.
AB - The theory for a Penning-Malmberg trap predicts m=1 diocotron stability. However, experiments with hollow profiles show robust exponential growth. We propose a new mechanism of destabilization of this mode, involving parallel compression due to end curvature. The results are in good agreement with the experiments. The resulting modified drift-Poisson equations are analogous to the geophysical shallow water equations, and conservation of line integrated density corresponds to that of potential vorticity. This analogy predicts Rossby waves in non-neutral plasmas and an m=1 instability in fluids.
UR - https://www.scopus.com/pages/publications/0000013139
U2 - 10.1103/PhysRevLett.84.2401
DO - 10.1103/PhysRevLett.84.2401
M3 - Article
AN - SCOPUS:0000013139
SN - 0031-9007
VL - 84
SP - 2401
EP - 2404
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
ER -