Physics 562: Statistical Mechanics Spring 2002, James P. Sethna ...

exponentially as exp(A/R 2 ), but it might be a conventional power law or something elseentirely). So, in our scaling collapse, we’ll treat each of the three ξ(R) valuesasanindependent variable, and use the collapse to measure the function.(e) Do a scaling collapse: plot x 2+β/ν C(x, R) versusx/ξ(R) for the three curves youplotted in part (d). Vary the three constants ξ(2.0), ξ(1.0), and ξ(0.8) to best collapsethe data: you might want, for example, to make the peaks line up at x/ξ =1. Plotξ(R). If you have the energy, compare it to what you would expect from an exponentialform ξ = ξ 0 exp(A/R 2 ) and a power-law form ξ = ξ 0 (R − R c ) −ν .9