Finite size scaling and equation of state for Ising lattices

Abstract

Accurate Monte Carlo data from a set of isotherms near the critical point are analyzed using two RG based complementary representations, given respectively in terms of $\bar{h}=h/\mid t{\mid }^{\beta \delta }$ and $\bar{\tau }=t/h^{1/\beta \delta }$. Scaling plots for data on simple cubic Ising lattices are compared with plots of $M{L}^{\beta \nu }$ vs. $\mid t\mid L^{1/\nu }$ for increasing $L$ values and with high quality experimental data on $CrB{r}_3$. Finite size effects and the equation of state are discussed.

4 pages, 6 figures