Figure 9: Test of FSS.
From: Critical exponents and scaling invariance in the absence of a critical point
(a) Monte Carlo simulations of mL(T) versus T computed for the unfrustrated 2D-Ising model and b=0 for a square lattice of linear size Lx=10, 20, 40 (colour code in the legend). The black curve is the exact Onsager solution m∞(T). (b) Theoretical FSS function fM(x) deduced from the data in a as described in the subsection ‘Scaling and characteristic lengths’ in Methods. Inset: same data plotted in a log–linear scale. (c) Experimental M(T) data versus T measured for B=5 × 10−5 T. The green line corresponds to M∞=A∞|τ|β, with β=1/8 and A∞=1.192 × 10−2. (d) Ratio ML(T)/|τ|β versus L(Tc)·|τ|ν representing the function F4(x) defined in equation (14).
