Those are not exactly physical copies, theaters are getting special cases with hard-drives, microcontrollers and encryption. Every presentation is accounted when played.
What the above comment is referring to is a DCP (Digital Cinema Package)[0].
However, not all locations/production houses are using the traditional DCP methodology. The Digital Cinema Distribution Coalition[1] has the goal of changing the distribution method to a satellite based digital download structure.
Sheer data size, iirc a DCP runs in the 300-500GB range per movie. Probably a couple hours on a distribution satellite for an entire country's worth of cinema are cheaper than managing the logistics of physical HDDs.