Finite size scaling and equation of state for Ising lattices

Details Finite size scaling and equation of state for Ising lattices Finite size scaling and equation of state for Ising lattices

2003-06-17

arxiv.org/abs/cond-mat/0306434v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 6 figures

Scientific paper

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 $ML^{\beta\nu}$ vs. $\mid t \mid L^{1/\nu}$ for increasing $L$ values and with high quality experimental data on $CrBr_{3}$. Finite size effects and the equation of state are discussed.

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