Analysis of coherent anomalies, scaling exponent and confluent singularities for spin-S Ising model on cubic nets
✍ Scribed by Shiladitya Sardar; K.G. Chakraborty
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 907 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
The zero-field high temperature static susceptibility series of the spin-S nearest-neighbour Ising model on simple cubic (SC), body-centred cubic (BCC) and face-centred cubic (FCC) lattices is thoroughly analysed by means of a power series coherent anomaly method (CAM). Our analysis revealed that the ten-term high-temperature susceptibility series is consistent with the universal value of the scaling exponent ~ = ] for all S and for all cubic nets, provided that (i) a single confluent correction of the form d* -~ 0.44 is inserted for FCC lattice and for all spins except S = ½ and (ii) two confluent corrections A* and A * are inserted for SC and BCC lattices covering all spins except the spin-½ case. For S = ½, the results obtained for all lattices demonstrate the non-existence (except for the SC lattice where A* # 0, A* = 0) of confluent correction in agreement with the observation of earlier authors. The variation T * for all lattices and for all spin is also analysed quantitatively.