Interpretation of the randomness in statistical mechanics?

[kof9595995]

One postulate of sta mech is all accessible microstates are equally probable in thermal equilibrium, while according to classical mechanics this postulate is not true. But the postulate is still applicable in the real world. I remember that I read one interpretation before:
1. any particle in a system will go thru tremendously many collisions with other particles from various directions.
2. all these collisions will give a particle more or less the same thrust.
And the total effect is that the state of particles appear to be randomly distributed.
I want to know is this the best-received interpretation so far? Is this interpretation called detailed balance mechanism?
And is there any other interpretations?

 

[LightHero]

Yes, the interpretation you provided is generally accepted and is known as the detailed balance mechanism. This mechanism is based on the assumption that in a system in thermal equilibrium, there are equal numbers of “forward” and “backward” transitions between microstates. In other words, if one microstate can be reached from another, then it is assumed that the reverse transition is also possible.In addition to the detailed balance mechanism, there are several other interpretations of the postulate of statistical mechanics. For example, the principle of maximum entropy is an alternative interpretation which states that the state of maximum uncertainty (i.e., maximum entropy) is the most probable state in a system in equilibrium. Another interpretation is the principle of equal a priori probabilities, which states that all microstates should be given equal probability regardless of their energy. Finally, the principle of ergodicity suggests that a system will eventually reach a state of equilibrium no matter how it was initially prepared.