Equilibrium and Instability conditions
•
Equilibrium at the
outer surface
•
•
β
T
κ
P
+
κ
B
=
•
2
κ
c
(1+
β
g
/2
‐β
k
)
•
•
Instability condition
•
β
T
＞
2
（
l
p
/R
）・
•
（
1+
β
g
/2
‐β
k
）
•
•
Growth time
•
τ
(s) ~100
√
(
l
p9
R
9
/T
6
)