Past exam of the phase transitions and collective phenomena course of the University of Cambridge / 2012 / Paper 1 / 1 / f / Solution

The annotations on the original plot give $\beta =0.368$ and $\gamma =1.215$. Use those displayed values rather than fitting the linear-axis curve as though its slope were a logarithmic exponent. Exponent inference from a magnetic data collapse identifies $\Delta =\gamma +\beta$.ThereforeThese estimates inherit both the empirical collapse exponents and the assumed scaling identities, including three-dimensional hyperscaling. They are not independent high-precision measurements of five exponents. In particular, the small difference defining $\alpha$ and the subtraction defining $\eta$ amplify uncertainties. No experimental curve or source image is reproduced.