Anisotropic pressure and finite hot-electron Larmor-radius effects on ring stability Page: 12 of 22
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-8-
2 2
v2 [1+ (p - p,)C A,, + {wL - w(p + wb -K) + (wow,,/b)
2, Bl Bp b KK
- (2w /0) (w - CWb) + wbwg - K [ p "/S)]-1 (M./9)[k xn-v(f d3 v vvF
- (klxn-vnB) fd3v v2(v - v2)Fj]} + (,+ ~VB)(2w/Pcb )((plj/Qj)]{wb(1- C)
+ z8m + [( - g - Wb(pD2/G)( p/s )-2 (Mj/0 ) f d3v 3aF
4 2 ~- z e J d3v vi -.vJ0 - - ( ) M d3v vhJ
+ (V0nB) IMjf d3v J - J = 0 . (14)
In Eq. (14) we have defined the following quantities:
p = M.N. ,
S (8Tr/B2U p --i)/ Q1)
b =p lk (:Ql Z piu
ib p x1(Zp -/)k -VknB ,
W P-(Z lj/P~k~n'(nVn)(15)
Wi = p- (Ips./ )k~xn.(nvn,
S- 3 p/ (-
3p,-
S-1 (vp, )/Q ,
and
S= (pj/ -)]1 2(Mj/8S) x)-v(Fd 3vv4Fj)
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Tsang, K. T.; Lee, X. S. & Catto, P. J. Anisotropic pressure and finite hot-electron Larmor-radius effects on ring stability, report, September 1, 1982; United States. (https://digital.library.unt.edu/ark:/67531/metadc1183030/m1/12/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.