Subject: heat and time dilation?

Now I've read all about(not really ALL about but you get the idea) how 
time dilates when you go at faster speeds, but I was wondering if there 
were two objects that were identicle except for their temperature. Would 
the hot object be moving through time at a slower rate then the cool 
object. 
I thought this might happen because KMT says that as objects get hotter 
the molecules move faster, so I just that maybe temerature would have a 
effect on time.

Re: heat and time dilation?