That brush is discussed in some detail at
http://www.photomacrography.net/foru...?p=85715#85715 . Very briefly summarizing, the Details brush is optimized for retouching between two areas that may have different overall brightness, notably between original source and PMax output, or between PMax and DMap outputs. It is sort of like Photoshop's clone tool, but with adaptive hardness that causes it to have soft edges where there is not much detail in the subject, and progressively harder edges where fine detail is present. In addition it automatically corrects for brightness differences between source and target, so in most cases it automatically does a “seamless” retouch that could be very difficult to do with Photoshop's clone tool.
In most cases, this default brush is the best one to use, but it does have downsides in certain circumstances. First, there is always some potential for the default brush to slightly change colors and contrasts, even when brushing from original source into a DMap output. But the most obvious limitation is that if you want to change the overall lightness of an area, for example to retouch darkness into a bright area, the default Details brush won't do that.
Instead, to do that job of retouching darkness into a bright area, you need to use the (Pro) Pixels brush. The Pixels brush is almost identical to Photoshop's clone tool. It has fixed hardness, adjustable by slider, and all it does is to copy pixel values from source to target.