TY - JOUR
T1 - The unbounded two-dimensional guiding-centre plasma
AU - Kiessling, Michael K.H.
N1 - Funding Information:
It is a pleasure to acknowledge valuable discussions with S. Chanillo. Gratitude is expressed to E. Caglioti, P. L. Lions, M. Pulvirenti and C. Marchioro for making their work available prior to publication, and to J. J. Aly for valuable comments. Thanks go to the referee for helpful remarks and for pointing out the papers by Smith et al. (1992) and Corngold (1993). This work was supported by a DFG fellowship.
PY - 1995/8
Y1 - 1995/8
N2 - The thermal mean-field equilibrium of a translation-invariant, unbounded one-component guiding-centre plasma is studied by analytical techniques. A variational principle is constructed. It is shown that only radial symmetric, decreasing density profiles occur. Prescribing the total number of gyro centres N∊(0,∞), the energy E ∊(E0,∞) and the canonical angular momentum M ∊ (0, ∞] uniquely determines a profile. Metastable or unstable profiles do not exist. A simple algebraic relation betweenN, M, the guiding-centre temperature β-1and the characteristic Larmor frequency w is derived. This explains Williamson’s computer-based observations.
AB - The thermal mean-field equilibrium of a translation-invariant, unbounded one-component guiding-centre plasma is studied by analytical techniques. A variational principle is constructed. It is shown that only radial symmetric, decreasing density profiles occur. Prescribing the total number of gyro centres N∊(0,∞), the energy E ∊(E0,∞) and the canonical angular momentum M ∊ (0, ∞] uniquely determines a profile. Metastable or unstable profiles do not exist. A simple algebraic relation betweenN, M, the guiding-centre temperature β-1and the characteristic Larmor frequency w is derived. This explains Williamson’s computer-based observations.
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U2 - 10.1017/S0022377800018328
DO - 10.1017/S0022377800018328
M3 - Article
AN - SCOPUS:84971188749
SN - 0022-3778
VL - 54
SP - 11
EP - 29
JO - Journal of Plasma Physics
JF - Journal of Plasma Physics
IS - 1
ER -