Abstract
Results of recent Monte Carlo studies on random-bond and random-site Ising models are reviewed. In the two-dimensional case, the simulations clarify a controversy between conflicting renormalization group theories, which predict different critical exponents. Evidence for a crossover from the critical behaviour of the perfect model to the dilution-dominated critical regime is found for the three-dimensional model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.B. Harris: J. Phys. C7, 1671 (1974)
V.S. Dotsenko and V1S. Dotsenko: J. Phys. C15, 495 (1982); J. Phys. C15, L557 (1982); Adv. Phys. 32, 129 (1983)
B.N. Shalaev: Sov. Phys. Solid State 26, 1811 (1984)
R. Shankar: Phys. Rev. Lett. 58, 2466 (1987); Phys. Rev. Lett. 61, 2390 (1988)
A.W.W. Ludwig: Phys. Rev. Lett. 61, 2388 (1988)
V.B. Andreichenko, V1.S. Dotsenko, W. Selke, and J.-S. Wang: Nuclear Physics B344, 531 (1990)
J.-S. Wang, W. Selke, Vl.S. Dotsenko, and V.B. Andreichenko: Europhys. Lett. 11, 301 (1990)
R.H. Swendsen and J.-S. Wang: Phys. Rev. Lett. 58, 86 (1987); J.-S. Wang, and R.H. Swendsen: Physica A167, 565 (1990)
Vl.S. Dotsenko, W. Selke, and A.L. Talapov: Physica A170, 278 (1991)
D. Kandel, R. Ben-Av, and E. Domany: Phys. Rev. Lett. 65, 941 (1990); P. Grassberger and H. Freund: J. Phys. A22, 4045 (1989)
M. Hagen, R.A. Cowley, R.M. Nicklow, and H. Ikeda: Phys. Rev. 36, 401 (1987)
S.G.W. Colborne and A.J. Bray: J. Phys. A22, 2505 (1989); H. Takano and S. Miyashita: J. Phys. Soc. Jpn. 58, 3871 (1989)
K. Ziegler: Nuclear Physics B344, 499 (1990)
M. Inoue: Preprint (1991)
H.-O. Heuer: Preprint (1991)
J.T. Chayes, L. Chayes, D.S. Fisher, and T. Spencer: Phys. Rev. Lett. 57, 2999 (1986)
I.O. Mayer, A.I. Sokolov, and B.N. Shalaev: Ferroelectrics 95, 93 (1989); see also G. Jug: Phys. Rev. B27, 609 (1983)
H.-O. Heuer: Europhys. Lett. 12, 551 (1990); Phys. Rev. B42, 6476 (1990)
J.-S. Wang, M. Wöhlert, H. Mühlenbein, and D. Chowdhury: Physica A166, 173 (1990)
M. Fähnle, T. Haley, U. Staaden, and P. Braun: Festkörperprobleme 30, 425 (1991); T. Holey and M. Fähnle: Phys. Rev. B41, 11709 (1990)
G.S. Pawley, R.H. Swendsen, D.J. Wallace, and K.G. Wilson: Phys. Rev. B29, 4030 (1984)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Selke, W. (1993). Monte Carlo Simulations of Dilute Ising Models. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IV. Springer Proceedings in Physics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84878-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-84878-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84880-3
Online ISBN: 978-3-642-84878-0
eBook Packages: Springer Book Archive