Table 2
The closure relations combining the temporal decay slope α and the spectral slope β (adopted from Zhang & Mészáros 2004; and Panaitescu 2007; valid for p > 2).
| Spectral | Closure relation α(β) | |
| regime | ISM | Wind |
|
|
||
| Spherical expansion | ||
| νc > ν | 3β/2 [S1a] | (3β + 1)/2 [S1b] |
| νc < ν | (3β − 1)/2 [S2] | |
| Jet with sideways expansion | ||
| νc > ν | 2β + 1 [J1] | |
| νc < ν | 2β [J2] | |
| Jet without sideways expansion | ||
| νc > ν | (6β + 3)/4 [j1a] | (3β + 2)/2 [j1b] |
| νc < ν | (6β + 1)/4 [j2a] | (β + 5)/4 [j2b] |
Notes. Abbreviation used here for a certain model is given in brackets (adopted from Panaitescu 2007; (S, J, j)=(spherical expansion, jet with sideways expansion, jet without lateral spreading), (1, 2) = (ν < νc, ν > νc), (a, b)=(ISM, wind)). Entries extending over two columns are valid for both media.
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