ANALYSIS OF COHERENT ANOMALIES, SCALING EXPONENT AND CONFLUENT SINGULARITIES FOR SPIN-S ISING-MODEL ON CUBIC NETS

The zero-field high temperature static susceptibility series of the sp in-S nearest-neighbour Ising model on simple cubic (SC), body-centred cubic (BCC) and face-centred cubic (FCC) lattices is thoroughly analys ed by means of a power series coherent anomaly method (CAM). Our analy sis revealed that the ten-term high-temperature susceptibility series is consistent with the universal value of the scaling exponent gamma=5 /4 for all S and for all cubic nets, provided that (i) a single conflu ent correction of the form Deltasimilar or equal to 0.44 is inserted for FCC lattice and for all spins except S=1/2 and (ii) two confluent corrections Delta(0) and Delta(e)* are inserted for SC and BCC lattic es covering all spins except the spin-1/2 case. For S=1/2, the results obtained for all lattices demonstrate the non-existence (except for t he SC lattice where Delta(0)not equal 0, Delta(e)*=0) of confluent co rrection in agreement with the observation of earlier authors. The var iation T-c for all lattices and for all spin is also analysed quantit atively.