The nature of the weak roots is clearly shown by Eqs. (18). There are, in each case, two different kinds of terms that give the effect of radiation as well as relaxation on the waves. In <5i, the last term for slow oscillations (a, b < 1) is the frozen di [see Eq. (16a)]. It can be shown that the relaxation causes d to have a maximum value of 5i (0) = 2~3 I2 (A 2 -1)(1 + A 2 )-1 / 2 at a 2 = (1 + 3A%4 2 + 3)" 1 , i.e., at ultrasonic frequencies. Previously we found that the radiation also caused 81 to have a maximum. Therefore, there are in general two peaks in the co spectrum of 5i, and the relative magnitude of the peaks depends on the thermal state of the gas. Regarding the strong roots, similar results such as those found in the equilibrium case are obtained, but X 2 , &, and Bit/* are much more complicated functions of the various parameters.
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