Now, that's a good question. Does the Big Freeze result in the decay of all particles, even photons? Or, can a massless particle live forever? I don't know. If your hypothetical particles decay eventual, then it doesn't matter how much space is between them, the particle will eventually cease to exist. Also, let's not forget that you are talking about distance, as in empty space. If the Big Freeze is the unraveling of the Big Bang, what does it unravel into? Photons? Empty space? Or nothingness? If the universe keeps expanding indefinitely, then the answer is nothing. Why? Because a finite quantity of energy whether in the form of photons or empty space simply cannot be stretched or mixed infinitely.