My idea back then was: What is vibration, other than movement of tiniest particles? But yes, maybe collision is what actually makes the temperature? Lets assume all the molecules where moving like they usually do, but for some insignificantly small chance, they do have no collisions for a few seconds. Would the object have a temperature?
>What is vibration, other than movement of tiniest particles?
Imagine a pendulum, moving back and forth. The average movement is zero! Even for different pendulums moving at different speeds. Vibration is a similar case.
Obviously movement is not the most useful way to examine these systems, we want to look at other things too. Temperature is a measure of the kinetic energy involved.
>maybe collision is what actually makes the temperature
Kinetic energy is involved in both collisions and vibrations.
>but for some insignificantly small chance, they do have no collisions for a few seconds
We can compare to atomic fission, where the fission is also probabilistic - but the result is very predictable.