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: “\(r\approx \nu + \bigl(\frac12\nu\bigr)^{1/3}\)”.