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cdstephens t1_j396e66 wrote

Reply to comment by [deleted] in How much do water molecules move around within a stationary body of water? by KpgIsKpg

For a high temperature gas, it would eventually instead look like a Maxwell-Jüttner distribution.

https://en.wikipedia.org/wiki/Maxwell%E2%80%93J%C3%BCttner_distribution

This happens when kT ~ mc^2 , so when the temperature is close to the rest mass energy of the particle.

However, there are effects this new distribution don’t take into account, so it has limited applicability.

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