Tlusty's second goal was into an empty net with 1:14 remaining.
New Jersey got two goals from Ilya Kovalchuk, including a short-handed tally, and one from Patrik Elias but that wasn't enough for the Devils to avoid their seventh loss in eight games without top goalie Martin Brodeur.
Johan Hedberg stopped only 13 of 18 Carolina shots through two periods and was replaced by Jeff Frazee to start the third.
I'm here to develop a winning culture and a winning team. There is a bright future ahead of this team. A lot of young, great hockey players here and on the way … a fan base that's passionate about the game of hockey.
— Dan Bylsma after being introduced as new coach of the Buffalo Sabres