F Santini 1970 Plasma Phys. 12 165 doi:10.1088/0032-1028/12/3/003
F Santini
Show affiliationsThe marginal stability of an inhomogeneous finite plasma, at equilibrium with an electric field, is investigated for linear electrostatic perturbations with a time dependence e-i omega t. A set of equilibria with a variable parameter is introduced, which equilibria, as well as their perturbations, should only depend on a single inhomogeneity variable. The perturbed electric field should vanish at the boundaries. The paper concerns the instability of equilibria in the vicinity of a marginal one admitting an omega =0 mode. The corresponding growth rate is derived explicitly in the case of special properties of the marginal equilibrium. A corresponding example is discussed.
52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves)
Issue 3 (March 1970)
F Santini 1970 Plasma Phys. 12 165
P Levitz et al 1980 J. Phys. E: Sci. Instrum. 13 427
Eric C Leuthardt et al 2004 J. Neural Eng. 1 63
R Thalmann 2000 Metrologia 37 253
M Frennberg and A Sacconi 1996 Metrologia 33 539
H Haitjema 1997 Metrologia 34 161
G Lipinski et al 1997 Metrologia 34 235
P Cordiale et al 2000 Metrologia 37 177
R Thalmann 1996 Metrologia 33 187
H Darnedde and J Helmcke 1996 Metrologia 33 485