Simulation Reductions for the Ising Model

References

• Besag , J. 1974 . Spatial interaction and the statistical analysis of lattice systems (with discussion) . Journal of the Royal Statistical Society, Series B , 36 : 192 – 236 .
   Google Scholar
• Fortuin , C. and Kasteleyn , P. 1972 . On the random cluster model I: Introduction and relation to other models . Physica , 57 : 536 – 564 .
   Google Scholar
• Jerrum , M. and Sinclair , A. 1993 . Polynomial-time approximation algorithms for the Ising model . SIAM Journal on Computing , 22 : 1087 – 1116 .
   Web of Science ®Google Scholar
• Jerrum , M. , Valiant , L. and Vazirani , V. 1986 . Random generation of combinatorial structures from a uniform distribution . Theoretical Computer Science , 43 : 169 – 188 .
   Web of Science ®Google Scholar
• Newell , G. and Montroll , E. 1953 . On the theory of the Ising model of ferromagnetism . Reviews of Modern Physics , 25 : 353 – 389 .
   Web of Science ®Google Scholar
• Propp , J. G. and Wilson , D. B. 1996 . Exact sampling with coupled Markov chains and applications to statistical mechanics . Random Structures & Algorithms , 9 ( 1–2 ) : 223 – 252 .
   Web of Science ®Google Scholar
• Randall , D. and Wilson , D. Sampling spin configurations of an Ising system . Proceedings of the 10th ACM-SIAM Symposium on Discrete Algorithms . pp. 959 – 960 .
   Google Scholar
• Simon , B. 1993 . The Statistical Mechanics of Lattice Gasses , Volume 1 , Princeton University Press .
   Google Scholar
• Swendsen , R. and Wang , J. S. 1987 . Non-universal critical dynamics in Monte Carlo simulation . Physical Review Letters , 58 : 86 – 88 .
   PubMed Web of Science ®Google Scholar
• van der Waerden , B. L. 1941 . Die lange Reichweite der regelmäSSigen Atomanordnung in Mischkristallen . Zeitschrift für Physik , 118 : 473 – 488 .
   Google Scholar