Passion draws you to something; it increases the value of activities in your life; it increases your energy, your motivation, your creativity. You feel expanded, revitalized, and passionate.
Addiction takes away from your life; it reduces your motivation to do things outside of the one activity. The hallmark of an addiction is that it takes away from your life. It makes you feel compulsively involved. You feel a compulsive desire to move towards that thing, where compulsion is being driven by some external thing rather than being driven by something internal; by your own internal creativity.
http://www.igda.org/articles/austin_addiction.php