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The particular value of the scaling exponent $\nu$, and the prefactor $A_\xi$ will depend on the lattice, and dimension you use to calculate, but the form $(p - p_c)^{-\nu}$ holds in a wide variety of geometries. For ease of calculation, I'll show how it works on the Bethe lattice, and how it's symmetrical about the critical point. First, look at the Bethe ...

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