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Computer simulation studies of critical phenomena

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  • Landau, D.P.

Abstract

The recent strides which have been made in the use of computer simulations to study phase transitions and critical phenomena are reviewed. We describe how the use of a combination of recently developed histogram techniques and sophisticated Monte Carlo simulation algorithms have allowed the determination of the static critical behavior of the d=3 Ising and Heisenberg models with unprecedented precision. We also discuss the study of dynamic critical behavior in simple spin models by both Monte Carlo and spin dynamics methods. Recent estimates for dynamic critical exponents are reviewed including the first high precision estimate for true dynamics.

Suggested Citation

  • Landau, D.P., 1994. "Computer simulation studies of critical phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 41-64.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:1:p:41-64
    DOI: 10.1016/0378-4371(94)90490-1
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    1. Hohenberg, Paul, 1972. "Change in Rural France in the Period of Industrialization, 1830–1914," The Journal of Economic History, Cambridge University Press, vol. 32(1), pages 219-240, March.
    2. Adler, Joan & Holm, Christian & Janke, Wolfhard, 1993. "High-temperature series analyses of the classical Heisenberg and XY models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 581-592.
    3. Cowley, R.A. & Birgeneau, R.J. & Shirane, G., 1986. "Phase transitions and metastable states in the presence of random fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 285-290.
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