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Although not an issue in this particular case, the use of periodic boundaries limits the interaction range to no more than half the smallest region dimension ¨C in practice the range is generally much less. Long-range forces require entirely different approaches that will be described in Chapter 13. Problems can also arise if there are strong correlations between atoms separated by distances approaching the region size, because periodic wraparound can then lead to spurious effects. One example is the vibration of an atom producing what are essentially sound waves; the disturbance, if not sufficiently attenuated, can propagate around the system and eventually return to affect the atom itself.
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