Hence, neglecting this fluctuation (like in the earlier mean-field approach) corresponds to neglecting the order-order correlation, which diverges near the critical point.
Similar observations have been made, though not as comprehensively, for various self-organized critical systems, where the critical point of the system is an attractor.
In the last two million years erosion has reduced the Great Dividing Range to a critical point where west-to-east river capture events have been possible.