Thermodynamic calculation of spin scaling functions

Publication date: Available online 29 November 2018Source: Physics Letters AAuthor(s): George RuppeinerAbstractCritical phenomena theory centers on the scaled thermodynamic potential per spin ϕ(β,h)=|t|pY(h|t|−q), with inverse temperature β=1/T, h=−βH, ordering field H, reduced temperature t=t(β), critical exponents p and q, and function Y(z) of z=h|t|−q. I discuss calculating Y(z) with the information geometry of thermodynamics. Scaled solutions are found to obtain with three admissible functions t(β): 1) t=e−Jβ, 2) t=β−1, and 3) t=βC−β, where J and βC are constants. For p=q, information geometry yields Y(z)=1+z2, consistent with the one-dimensional (1D) ferromagnetic Ising model.

Source: Physics Letters A - November 30, 2018 Category: Physics Source Type: research