Divas are almost always likely to slap Sims when being insulted.
Divas will take a -30 relationship hit when having an argument with their romantic partner. There's also a 65% chance they will break up after an argument.
Divas are difficult to be friends with; their relationship meter raises more slowly than other Sims.
Divas will get "Well, Duh!" moodlet whenever they receive a compliment, replacing the "Flattered" moodlet.
Mirrors add extra environmental score for Divas in a room.
Other Sims may accuse others as a Diva, which is a mean interaction. However, if the person accused is a Diva, they will get a positive relationship instead. Accusing other Sims as a Diva enables Sims to learn that the other Sim has Diva trait.
Good, Friendly and Easily Impressed Sims are more likely to react positively to a Diva's "Request for Compliment" social.