Critical behaviour of the three-dimensional Ising model specific heat below Tc

Abstract

The magnetization exponent β_D of the Syozi model of dilute ferro-magnetism is estimated for the four most common three-dimensional lattices using the Padé approximant method. It is found in all cases that 0354 D D between the specific heat exponent αprime and the magnetization exponent β for the Ising model below T_c and assuming β = fraction five-sixteens, the above result implies 0117 D = fraction five-fourteens = 0357.... The possibility αprime = fraction one-sixteens is well excluded by this method. The specific heat amplitude of the Ising model below T_c is deduced by computation of the magnetization amplitude of the Syozi model.