Sublime

Entropy is the supreme law of the Universe, which illustrates that systems tend toward disorder, chaos, and destruction on all planes of existence unless energy is put into the system. In other words, nothing is permanent.

Entropy is a term from physics that refers to the amount of "disorder" in a system.

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This sort of a situation where each individual trajectory in the long run does something different from the average over a large ensemble is called non-ergodicity. So, this is a non-ergodic system.