caa a22 4500 386367388 CHVBK 20180307111940.0 cr unu---uuuuu 161130e198902 xx s 000 0 eng 10.1017/S0022377800013647 doi S0022377800013647 pii (NATIONALLICENCE)cambridge-10.1017/S0022377800013647 Åkerstedt Hans O. Department of Technology, Uppsala University, Box 534, S-75121 Uppsala, Sweden Drift-kinetic stability analysis of z-pinches [Elektronische Daten] [Hans O. Åkerstedt] From the Vlasov-fluid model, a set of approximate stability equations describing the stability of a cylindrically symmetric z-pinch is derived. The equations are derived in the limit of small gyroradius and include kinetic effects such as finite Larmor radius, particle drifts and resonant particles. In the limit of zero Larmor radius and short wavelengths, we apply the equations to the internal m = 0 and m = 1 modes. If the drift term mωD + kVD is neglected in the resonant denominators, we find stability criteria that are more optimistic than the corresponding stability criteria for perpendicular MHD. The neglect of the drift term is, however, not justified for the m = 1 mode, where mωD needs to be retained in order to preserve the property that this approximate model should have the same point of marginal stability as the exact Vlasov-fluid model. Retaining the drift terms, growth rates have been calculated for the m = 1 mode, for a constant-current-density equilibrium and for the Bennett equilibrium. For the Bennett profile, we obtain, when compared with perpendicular MHD, a substantial reduction in growth rate γ/γMHD ≈ 0·2. Copyright © Cambridge University Press 1989 Journal of Plasma Physics Cambridge University Press 41/1(1989-02), 45-59 0022-3778 41:1<45 1989 41 PLA https://doi.org/10.1017/S0022377800013647 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0022377800013647 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Åkerstedt Hans O. Department of Technology, Uppsala University, Box 534, S-75121 Uppsala, Sweden NATIONALLICENCE 773 0- Journal of Plasma Physics Cambridge University Press 41/1(1989-02), 45-59 0022-3778 41:1<45 1989 41 PLA CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge