Table 5: Critical value of $\alpha$ for damping of the fundamental mode as a function of the Mach number and $\chi$ , the ratio of the temperature of the CDL to the pre-shock temperature. This table is an extension of Table 3 where $\alpha _{\rm cr}$ is listed for $\chi =1$ .
M $\chi$

1.0 0.5 0.1 0.01

1.40 -1.8 -0.6 -0.2 -0.1

2.00 -1.2 -0.6 -0.2 -0.1

3.00 -0.7 -0.5 -0.2 -0.1

5.00 -0.4 -0.3 -0.1 -0.1

10.0 -0.1 -0.1 0.1 0.3

20.0 0.2 0.2 0.2 0.3

40.0 0.3 0.3 0.3 0.3

100 0.4 0.4 0.4 0.4

**Table 5:** Critical value of $\alpha$ for damping of the fundamental mode as a function of the Mach number and $\chi$ , the ratio of the temperature of the CDL to the pre-shock temperature. This table is an extension of Table 3 where $\alpha _{\rm cr}$ is listed for $\chi =1$ .
M	$\chi$
	1.0	0.5	0.1	0.01
1.40	-1.8	-0.6	-0.2	-0.1
2.00	-1.2	-0.6	-0.2	-0.1
3.00	-0.7	-0.5	-0.2	-0.1
5.00	-0.4	-0.3	-0.1	-0.1
10.0	-0.1	-0.1	0.1	0.3
20.0	0.2	0.2	0.2	0.3
40.0	0.3	0.3	0.3	0.3
100	0.4	0.4	0.4	0.4

Source LaTeX | All tables | In the text

	1 Introduction
	2 Properties of low Mach number shocks
	3 Hydrodynamical simulations
	4 Discussion
	5 Summary
	References