Abstract
The main object of these lectures concerns the effect of quenched disorder in ferromagnetic transitions. Much emphasis will be given to the structure of the incipient infinite cluster. Hopefully this will clarify some controversial aspects of dilute ferromagnets near the percolation threshold. The last lecture will consider the “thermal” disorder in a pure ferromagnetic system with a droplet model approach.
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
R.J. Birgeneau, R.A. Cowley, G. Shirane, H. Guggenheim: Phys. Rev. Lett. 37, 940 (1976)
R.A. Cowley, R.J. Birgeneau, G. Shirane, H.S. Guggenheim, H. Keda: Phys. Rev. B21, 4038 (1980)
R.A. Cowley, G. Shirane, R.J. Birgeneau, E.C. Swenson, H.S. Guggenheim: Phys. Rev. B22, 4412 (1980)
R.J. Birgeneau, R.A. Cowley, G. Shirane, H.S. Guggenheim: Phys. Rev. B21, 317 (1980)
H.A. Algra, L.J. de Jongh, J. Reedijk: Phys. Rev. Lett. 22, 606 (1979)
H.A. Algra, L.J. de Jongh, W.J. Huiskamp, J. Reedijk: Physica 86B, 737 (1977)
D. Stauffer: Z. Phys. B22, 161 (1975)
H.E. Stanley, R. Birgeneau, P.J. Reynolds, J.F. Nicoll: J. Phys. C9, L553 (1976)
T. Lubensky: Phys. Rev. B15, 311 (1977)
M.J. Stephen, G.S. Grest: Phys. Rev. Lett. 38, 567 (1977)
D.J. Wallace, A.P. Young: Phys. Rev. B17, 2384 (1978)
A.P. Young, R.B. Stinchcombe: J. Phys. C8, L535 (1975); 9, 4419 (1976)
D. Stauffer: Phys. Rep. 54, 1 (1979)
J.W. Essam: Rep. Prog. Phys. 43, 883 (1980)
P.W. Kastleyn, C. Fortuin: J. Phys. Suppl. 26, 11 (1969); Physica 57, 536 (1974)
F.Y. Wu: J. Stat. Phys. 18, 115 (1978)
T.W. Burkardt, J.M. Van Leeuwen (Eds.): Real Space Renormalization (Springer, Berlin, Heidelberg, New York 1982)
A.B. Harris, T.C. Lubensky, W.K. Holcomb, C. Dasgupta: Phys. Rev. Lett. 35, 327 (1975)
M.F. Sykes, M. Glen: J. Phys. A9, 1705 (1976)
K. Binder, D.S. Stauffer: Monte Carlo Methods in Stat. Physics II (1983)
P.J. Reynolds, H.J. Stanley, W. Klein: J. Phys. All, L199; Phys. Rev. B21, 1223 (1980) See also H.E. Stanley, P.S. Reynolds, S. Redner, F. Family: In Real Space Renormalization, ed. by T.W. Burkardt and J.M. Van Leeuwen (Springer, Berlin, Heidelberg, New York 1982)
D. Stauffer, A. Coniglio, M. Adham: Adv. Polymer Science 44, 103 (1982)
A. Skal, B.I. Shklovskii: Sov. Phys. Semicond. 8, 1029 (1975)
P.G. de Gennes: J. Phys. (Paris) Lett. 37, L1 (1976)
B.B. Mandelbrot: “From Chance and Dimension” (Freeman, San Francisco 1977)
H.E. Stanley: J. Phys. 10, L211 (1977)
R. Fisch, A.D. Harris: Phys. Rev. B18, 416 (1978)
A. Coniglio: J. Phys. A15, 3829 (1982)
A. Coniglio: Phys. Rev. Lett. 46, 250 (1981)
R. Pike, H.E. Stanley: J. Phys. A14, L169 (1981)
M.P.M. den Nijs: J. Phys. A12, 1857 (1979) B. Nienhuis: J. Phys. A15, 199 (1982)
Y. Gefen, A. Aharony, B.B. Mandelbrot, S. Kirkpatrick: Phys. Rev. Lett. 47, 1771 (1981)
D.S. Gaunt, M.F. Sykes: Preprint
B. Derrida, J. Vannimenus: J. Phys. A15, L557 (1982)
B. Derrida, D. Stauffer, H.J. Hermann, J. Vannimenus: Preprint
D.C. Hong, H.E. Stanley: Preprint
K. Kremer: Z. Phys. B45, -49 (1981)
A.B. Harris: Preprint
A.B. Harris, T. Lubensky: Preprint
F. Fucito, G. Parisi: J. Phys. A14, L505 (1981)
S. Alexander, R. Orbach: J. Phys. (Paris) Lett. 43, L625 (1982)
A. Coniglio, H.E. Stanley: Preprint
Y. Gefen, A. Aharony, S. Alexander: Phys. Rev. Lett. 50, 77 (1983)
H.E. Stanely, A. Coniglio: In Percolation Structure and Process, ed. by G. Deutscher, R. Zallen, J. Adler. Annals of the Israel Phys. Soc, Vol.5 (Adam Hilger, Bristol 1983)
A.N. Berker, S. Ostlund: J. Phys. C12, 6961 (1979)
A.G. Dunn, J.W. Essam, J.M. Loveluck: J. Phys. C8, 743 (1975)
B.W. Southern, M.F. Thorpe: J. Phys. C12, 5351 (1979)
Y. Yeomans, R.B. Stinchcombe: J. Phys. C13, L239 (1980)
W. Kinzel, E. Domany: Phys. Rev. B23, 3421 (1981)
A.B. Harris: J. Phys. C7, 1671 (1974)
T.A.L. Ziman: J. Phys. 12, 2645 (1979)
C. Dasgupta, A.B. Harris, T.C. Lubensky: Phys. Rev. B17, 1375 (1978)
R.B. Stinchcombe: J. Phys. C12, L41 (1979)
R.B. Stinchcombe: J. Phys. C12, L389 (1979)
R.B. Stinchcombe: J. Phys. C12, 2625 (1979)
M.E. Fisher: Physics 3, 255 (1967)
C. Domb: J. Phys. A9, 283 (1976) K. Binder: Ann. Phys. N.Y. 98, 930 (1976)
A. Coniglio, C.R. Nappi, F. Peruggi, L. Russo: J. Phys. A10, 205 (1977)
M.F. Sykes, D.S. Gaunt: J. Phys. A9, 2131 (1976)
A. Coniglio, W. Klein: J. Phys. A12, 2775 (1980)
A.D. Bruce, D.J. Wallace: Phys. Rev. Lett. 47, 1743 (1981) and to be published
D. Stauffer: J. Phys. A10, L71 (1977)
H. Muhller-Krumbhaar: Phys. Lett. 50A, 27 (1974)
D. Stauffer: J. Phys. (Paris) 42, 99 (1981) D.W. Hermann, D.S. Stauffer: Z. Phys. B44, 339 (1981) H. Ottavi: Z. Phys. B44, 203 (1981) J. Roussenq, A. Coniglio, D. Stauffer: J. Phys. A15, L699 (1981) J. Kertesz, D. Stauffer, A. Coniglio: In Percolation Process and Structures, ed. by J. Adler, G. Deutscher, R. Zallen (Adam Hilger, Bristol 1983)
A. Coniglio, F. Peruggi: J. Phys. A15, 1873 (1982)
A. Coniglio, R. Figari: Preprint
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Coniglio, A. (1983). Percolation Effects and Disorder. In: Ausloos, M., Elliott, R.J. (eds) Magnetic Phase Transitions. Springer Series in Solid-State Sciences, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82138-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-82138-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82140-0
Online ISBN: 978-3-642-82138-7
eBook Packages: Springer Book Archive