Whether you purchased S2000 tires or Camaro tires, or performance SUV tires—in fact, it doesn't really matter what kind of automobile tires you buy, they'll all need to be broken in before you push the pedal to the metal.
During the manufacturing process, a release lubricant is applied which prevents the tire from sticking to the mold in which it was created. Unfortunately, some of that lubricant remains on the tire upon installation. It reduces traction for a bit, but wears off after use. Going easy on your tires and driving cautiously for the first 500 miles should eliminate this lubricant and allow the other layers of the tire (the rubber, steel and fabric) to work as they should.
Even then, you'll want to go easy on your tires until you feel totally comfortable controlling them. Odds are good that your old tires didn't have much traction, which means your new tires will handle a little differently at first. Even if they are the same make and model.
To read more tire tech articles from Tire Rack, just click here. And if you actually need to purchase some new tires, shop according to vehicle for a customized list of options.