They don't notify you. I was actually surprised the first time I saw money in my cj account! Didn't expect it at all.
i don't think any other affiliate network do this. cause it is violation of TOS. and mail can be hacked at any time so they always protect themselves from doing this type of jobs. you can easily check it by logging into your account.
Besides; Logging in to your account when you wake up is half the fun of affiliate marketing. "How much money did i make while sleeping? ... Hmmm"
You are going about the Affiliate Marketing game all wrong if you are expecting unexpected sales. The right attitude is the "go-getter" attitude. When I start a campaign, I know I will make money... I don't hope or wish and I especially don't think that my CJ account is just going to "poof" money into it... Dang, dude. Run the ball, don't stand around with it.