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A perfect fluid has no heat conduction, but it exerts pressure in all directions (according to stress-energy-momentum tensor).

If it does not conduct heat, then it means it does not have random motion.

How can it exert pressure if it does not have random motion?

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    $\begingroup$ Perfect fluid is an abstraction. As a mathematical model it does not have “particles” as entities within this model. $\endgroup$ – A.V.S. Feb 2 at 8:29
  • $\begingroup$ Probably useful: physics.stackexchange.com/q/152927/25301 $\endgroup$ – Kyle Kanos Feb 7 at 12:32

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