Abstract
The effectiveness of Chisholm's new rational approximation scheme for functions of two variables is examined for applications to problems in the field of critical phenomena. The examples chosen are double power series expansions for the high-temperature susceptibility chi 0( alpha ,T) where the additional variable alpha is (i) the degree of anisotropy in the anisotropic Heisenberg model, (ii) the relative strength of second-neighbour interactions in Ising model systems and (iii) the relative strength of pair and three-spin interactions in a two-dimensional pair-triplet Ising model. In case (i) additional support is obtained for the principle of universality in relation to the discontinuous increase in the value of the exponent gamma at the suspected symmetry breaking point eta =1 for all quantal cases.
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