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Does your rewrite change plot details? In other words, will follow-on chapters still make sense, without any continuity problems?
If so, i'd say just do a normal chapter repost. If the change is significant enough that it will "break" any of the following chapters, then my suggestion would still not be to post it as a new story. It would be to delete the chapters of the old story, and treat them as if they never existed, then post the newly edited chapters into the existing story. Otherwise, you're going to wind up with two stories on the site that are going to share a title and a description, and readers are going to find it very hard to tell which one they're supposed to read.
There is, however, no "rule" about this, so handle it in whatever way works best for you.
Eric Storm
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