n3H a3x Lx 4 nr2-

The exponential that appears on the righthand side, and therefore rX itself, vanishes for distances well beyond rX, i. e., for tx > 1. To evaluate rX interior to this radius, we first note

that the integrand goes to zero for both small and large y, and peaks at y0 = tx . We may crudely approximate the function as a Gaussian centered at y = ya, with the correct height and curvature at that point. It is then convenient to extend the integration limits from y = -<x to y = The heating rate then reduces to rx

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