I want to check on the validity of the following objective definition of order. Is it correct? Is there a more rigorous statement of this concept?
The further a system is from its maximum thermodynamic entropy, the more ordered it is and the lower its entropy. Specifically, if a system’s microstates are not of equal probability, which is usually the case because of interactions or correlations between the microstates, it is more ordered when it spends time in the less likely states. If the microstates are of equal probability, it can be constrained to remain in one of the states a disproportionate amount of time by imposing constraints on the system’s random fluctuations.
Thanks very much for the input.