### Errata for Stochastic Ion Heating by a Lower Hybrid Wave

Date: 2005-01-04

Errata for

C. F. F. Karney,

*Stochastic ion heating by a lower hybrid wave*,

Phys. Fluids **21**(9) 1584–1599 (1978).

doi:10.1063/1.862406

PPPL–1429

- Page 1584, Abstract, line 1:
replace “\(\nu\)” by “\(v\)”. Thus:
“\(v_\perp\gtrsim\omega/k_\perp\)”.
- Page 1590, Eq. (44):
delete the “\(/\)” before the first “\(\sin\)”.
Thus
\[\textstyle
R=\delta -(2/\pi)^{1/2}\alpha\nu r^{-3/2}
\sin\bigl(r-\frac12n\pi-\frac14\pi\bigr)
\sin(nw_1-w_2),
\]
- Page 1593: the two lines following Eq. (69) should read:
as a uniformly valid stochasticity condition.

To show the dependence of the angle in (69)
we pick the region …

- Page 1593, Eq. (70):
replace “\(v\)” by “\(\nu\)”. Thus:
\[
\alpha=\mathop{\rm Min}\biggl(\frac{\nu^{2/3}}{4\xi^2},
\frac{\nu^{1/3}}{16\zeta^2}\biggr)
\]
- Page 1594, Fig. 12: the horizontal axis should be labeled
“\(\alpha_\parallel=\zeta\alpha\)”.
- Page 1594, Eq. (73):
delete the “\((\)” before the
“\(\frac12\beta y^2\)”. Thus:
\[\textstyle
h=\frac12\bigl(p_x+y+\frac12\beta y^2\bigr)^2+
\frac12p_y^2-\alpha\sin(y-\nu t).
\]
- Page 1597, line 3 after Eq. (A4):
replace “\(v\)” by “\(\nu\)”.
Thus: “\(r\approx \nu + \bigl(\frac12\nu\bigr)^{1/3}\)”.

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