Padé Approximant Studies of the Lattice Gas and Ising Ferromagnet below the Critical Point

摘要: The Pade approximant procedure is used to study the low‐temperature series for Ising problem. critical behavior of spontaneous magnetization an ferromagnet and liquid‐vapor coexistence curve corresponding lattice gas found be I0(T)∼|ρliq−ρga5|∼|Tc−T|β where (in three dimensions) 0.303≤β≤0.318. It conjectured that β=5/16=0.31250. initial susceptibility compressibility at condensation are diverge as χ0(T)∼κ0(T)∼|Tc−T|−γ′ in two dimensions γ′=1.75±0.01 while γ′=1.25 (+0.07, —0.02). Consideration a heuristic model partition function suggests identity α′+2β+γ′=2 α′ index divergence specific heat below Tc. amplitudes singularities derived extrapolation formulas presented plane triangular, square, honeycomb lattices three‐dimensional face‐centered, body‐centered, simple cubic lattices. results compared br...