Berichtigungen 1469
E r r a t a
J. J. Kozak and 0 . E. Rössler, Weak Mixing in a Quantum System, Z. Naturforsch.
37 a, 3 3 - 3 8 (1982).
In Figs. 1 — 4, the dashed lines should have been drawn solid, and vice versa.
M. Christahl and J. Thönnissen, Exzeßenthalpien und Solvatationsverhalten der Systeme LiBr/Methanol, ZnBr2/Methanol und LiBr/ZnBr2/Methanol, Z. Naturforsch.
37 a, 2 2 4 - 2 3 1 (1982).
In Tab. 1, Seite 226, müssen alle Vorzeichen der Konstanten invertiert werden.
Richtig muß also Tab. 1 heißen:
System LiBr/Methanol System ZnBr2/Methanol 20 °C 60 °C 20 °C 60 °C
A -840.879 -839.641 -420.700 -391.522
B -569.670 -684.226 +211.488 +202.342
C +797.447 +909.932 + 89.653 + 21.233
A + 16.210 + 12.633 + 17.222 + 22.885
B -197.427 -184.955 -177.626 -189.993
C + 116.607 + 103.945 + 110.045 + 121.240
E. Rebhan, Nonlinear Evolution of Internal Ideal MHD Modes Near the Boundary of Marginal Stability, Z. Naturforsch. 37 a, 816—829 (1982).
The Eqs. (25) * in Sect. 4 are wrong and should be replaced by
51 = «Pi. (El) 52 = <pa + i « p i - V « p i , (E2)
= <p3 + , , («12<p20 • Vcpi + «21<pl • VcpA±A2 £ 1 1 20) + (<p21' Vtpi + <pi • Vtp2l) 1
+ 3 <P22- Vcpi + 2<pi- Vcp22
1 1 6 8
+ J (<Pi-V<pi)-V<pi + - < p i < p i : — — cpi ( E 3 ) The error in the derivation of (25) occurs in (22), which is not an integral of (21).
Equations (El) — (E3) allow to calculate the nonlinear plasmadisplacement
? = + + + ( E 4 )
from the timeintegral
cp = £<pi + £2<p2 + £3<p3 H (E5)
of the local velocity. The latter is used throughout the paper, and hence the error in (25) has no consequences for the rest of the paper.
* The equations in this Erratum are numbered (El), (E2) etc. while simple numbers like (25) refer to equations in the original paper.
1470 Berichtigungen
Proof of {El) —(ES)
By expansion of v(r + t), t) with respect to (21) becomes 1 Ö Ö
01-/0* = t>(r, t) + \ • Vt>(r, t) + - \\ : — — r (r, t) + • • •. (E6) With (18) —(19) and the expansions (E4) —(E5), one obtains the equations
e S i / a r = 091/02', = 0<p2/0r + ^ • v 0 9 1 / 0 T ,
1 ö ö
053/021 = 0q>3fiT + - V 0cpi/0T + • V 0<p2/0T + ^ ^2 or or : ö t p i/ör by equating equal powers of e on both sides of (E6). From these, (El) follows im-
mediately, and with this and the ansatz (37), (E2) follows as well.
With the results (El) —(E2), the ansatz (46) and the definitions (52), one obtains
0 f AJ
• V 0<pi/0T7 = — |ai2 4»20 • VOi + n — <I>2i •
13 )
+ "6 - [*22 * V<t>! + (<l>i • V<t>i) • VOi] ,
0 / Ax2 Ax3 \
• V 0q>2IdT = — I a2i<l>i • V3>20 + ti - y - 3>i • V<£2i + 4>i • V<J>22 I,
1 0 0 0 [AJ 0 0 and thus
= <p3 + «12 <&20 ' V^>i + a2i 4>i • V4>20 + Ti (4>AJ 2i • V4»i + 4>i • V4>2i)
A i3 0 0
«&12 • V ^ i -f 2 <J>i • V4>22 -f (<I»i • V4»i) • V4>! + <&i <l»i: —- — or or From this, (E3) is finally obtained by using again the definitions (46).
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