Critical behaviour of the Ising model along the coexistence curve and the critical isotherm

Abstract

The basic low temperature series expansion data for the spin one-half Ising model on the hydrogen peroxide lattice are used to obtain series in z=exp(-2J/kBT) along the coexistence curve for the specific heat CH, the magnetization M, and its first five derivatives delta 1M/ delta mu 1, where mu =exp(-2mH/kBT). The same data are used to derive series in mu along the critical isotherm for M and its first five derivatives delta lM/ delta zl. Ratio and Pade approximant analysis yield estimates of the critical exponents and critical amplitudes. On the whole the estimates of the critical exponents support scaling theory although a few of the exponent estimates are not in good agreement with scaling.