I have two simple questions:

1. Does every (or most of) physical system have the four “theoretical critical exponents” defined in (4)?

2. To derive formula (5) of “theoretical critical exponents” with fluctuation, do we need any regularity assumptions on external force (\tilde{f}), or can \tilde{f} be a stochastic term (so that equation (3) becomes a non-autonomous system)?

Thank you — Xige

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