Table C.1
Measurements of the pattern speed ω0 = mφΩp and growth rate η = s for unstable mφ = 2 modes of tapered Mestel discs.
| Unstable mφ = 2 modes of truncated Mestel discs, q = 6. | ||||||
|
|
||||||
| νt = 4 | νt = 6 | νt = 8 | ||||
| Method | ω 0 | η | ω 0 | η | ω 0 | η |
|
|
||||||
| Linear theory | 0.88 | 0.13 | 0.90 | 0.22 | 0.92 | 0.27 |
| Matrix method | 0.93 | 0.11 | 0.94 | 0.20 | 0.95 | 0.24 |
| N-body | 0.99 | 0.13 | 0.79 | 0.19 | 0.89 | 0.26 |
Notes. The velocity dispersion within these discs is characterised by q = 6, and the inner truncation power indices are given by νt = 4, 6, 8. The theoretical values were obtained from linear theory in Evans & Read (1998b). Our measurements were either performed via the response matrix method as in Eq. (24), or via direct N-body simulations, using the N-body integrator described in Sect. 5.
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