Updated tests of scaling and universality for spin-spin correlations in the two- and three-dimensional spin-S Ising models using high-temperature expansions
作者： P. Butera , M. Comi
DOI: 10.1103/PHYSREVB.69.174416
关键词: Series expansion 、 Statistical physics 、 Exponential function 、 Physics 、 Ising model 、 Universality (dynamical systems) 、 Scaling 、 Lattice gauge theory 、 Square-lattice Ising model 、 Magnetic field
摘要: We have extended, from order 12 through 25, the high-temperature series expansions (in zero magnetic field) for spin-spin correlations of spin-S Ising models on square, simple-cubic and body-centered-cubic lattices. On basis this large set data, we confirm accurately validity scaling universality hypotheses by resuming several tests which involve correlation function, its moments exponential or second-moment correlation-lengths.
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sci-hub.se 参考文章(56)
P. Butera, M. Comi, CRITICAL SPECIFIC HEATS OF THE N-VECTOR SPIN MODELS ON THE SIMPLE CUBIC AND BCC LATTICES Physical Review B. ,vol. 60, pp. 6749- 6760 ,(1999) , 10.1103/PHYSREVB.60.6749
P. Butera, M. Comi, 2n-point renormalized coupling constants in the three-dimensional Ising model:Estimates by high temperature series to order Β 17 Physical Review E. ,vol. 55, pp. 6391- 6396 ,(1997) , 10.1103/PHYSREVE.55.6391
P. Butera, M. Comi, N vector spin models on the sc and the bcc lattices: A Study of the critical behavior of the susceptibility and of the correlation length by high temperature series extended to order beta(21) Physical Review D. ,vol. 56, pp. 8212- 8240 ,(1997) , 10.1103/PHYSREVB.56.8212
E. Luijten, Interaction Range, Universality and the Upper Critical Dimension Delft University Press. ,(1997)
M. Comi, P. Butera, An On-Line Library of Extended High-Temperature Expansions of Basic Observables for the Spin- S Ising Models on Two- and Three-Dimensional Lattices Journal of Statistical Physics. ,vol. 109, pp. 311- 315 ,(2002) , 10.1023/A:1019995830014
H. Arisue, Strong coupling series of string tension and mass gap in lattice gauge theory Nuclear Physics B (Proceedings Supplements). ,vol. 34, pp. 240- 242 ,(1994) , 10.1016/0920-5632(94)90356-5
M. Ferer, M. A. Moore, Michael Wortis, University of Critical Correlations in the Three-Dimensional Ising Ferromagnet Physical Review B. ,vol. 3, pp. 3911- 3914 ,(1971) , 10.1103/PHYSREVB.3.3911
M. Ferer, Amplitude universality and confluent corrections to scaling for Ising models Physical Review B. ,vol. 16, pp. 419- 421 ,(1977) , 10.1103/PHYSREVB.16.419
Tai Tsun Wu, Barry M. McCoy, Craig A. Tracy, Eytan Barouch, Spin spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region Physical Review B. ,vol. 13, pp. 316- 374 ,(1976) , 10.1103/PHYSREVB.13.316
C. Domb, M. F. Sykes, Effect of Change of Spin on the Critical Properties of the Ising and Heisenberg Models Physical Review. ,vol. 128, pp. 168- 173 ,(1962) , 10.1103/PHYSREV.128.168