Markov-Property Applications to Ising Model Calculations

  • G. A. BakerJr.
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 76)


The Markov property is described. Its application to parallel computation and the potential for computational speed-up from its use are illustrated in both exact and Monte Carlo computations for the one and two dimensional, near-neighbor Ising models.


Partition Function Ising Model Markov Property Monte Carlo Computation Autocorrelation Time 
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    See, for example, G. A. BAKER, JR., Quantitative Theory of Critical Phenomena, Academic Press, Boston, 1990.Google Scholar
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    G. A. BAKER, JR., Analylsis of hyperscaling in the Ising Model by the high-temperature series method, Phys. Rev. B15 (1977), 1552–1559.ADSGoogle Scholar
  3. 3.
    L. P. KADANOFF, Correlations along a Line in the Two-Dimensional Ising Model, Phys Rev. 188 (1969), 859–863.CrossRefADSGoogle Scholar
  4. 4.
    A. E. FERDINAND, Lattice Stastistics of Finite Systems, Cornell University Thesis, 1967.Google Scholar
  5. A. E. FERDINAND, and M. E. FISHER, Bounded and Inhomogeneous Ising Models. I. Specific Heat Anomaly of a Finite Lattice, Phys. Rev. 185 (1969), 832.CrossRefADSGoogle Scholar
  6. 5.
    G. A. BAKER, JR., A Markov-Property, Monte-Carlo Method: One Dimensional Ising Model, Los Alamos preprint, submitted for publication.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • G. A. BakerJr.
    • 1
  1. 1.Theoretical Division, Los Alamos National LaboratoryUniversity of CaliforniaLos AlamosUSA

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