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.
Literature
D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, 2nd ed., World Scientific, Singapore 1984
P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)
K. Binder, Rep. Progr. Phys. 60, 487 (1997)
J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman, The Theory of Critical Phenomena, 2nd ed., Oxford University Press, New York 1993
M. J. Buckingham and W.M. Fairbank, in: C. J. Gorter (Ed.), Progress in Low Temperature Physics, Vol. III, 80–112, North Holland Publishing Company, Amsterdam 1961
A. Bunde and S. Havlin, in: A. Bunde, S. Havlin (Eds.), Fractals and Disordered Systems, 51, Springer, Berlin 1991
Critical Phenomena, Lecture Notes in Physics 54, Ed. J. Brey and R.B. Jones, Springer, Sitges, Barcelona 1976
M. C. Cross and P. C. Hohenberg (1994), Rev. Mod. Phys. 65, 851–1112
P. G. De Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, NY 1979
C. Domb and M. S. Green, Phase Transitions and Critical Phenomena, Academic Press, London 1972–1976
C. Domb and J. L. Lebowitz (Eds.), Phase Transitions and Critical Phenomena, Vols. 7–15, Academic Press, London 1983–1992
B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992)
J. W. Essam, Rep. Prog. Phys. 43, 843 (1980)
R. A. Ferrell, N. Menyhárd, H. Schmidt, F. Schwabl, and P. Szépfalusy, Ann. Phys. (New York) 47, 565 (1968)
M. E. Fisher, Rep. Prog. Phys. 30, 615–730 (1967)
M.E. Fisher, Rev. Mod. Phys. 46, 597 (1974)
E. Frey and F. Schwabl, Adv. Phys. 43, 577–683 (1994)
B. I. Halperin and P.C. Hohenberg, Phys. Rev. 177, 952 (1969)
H. J. Jensen, Self-Organized Criticality, Cambridge University Press, Cambridge 1998
Shang-Keng Ma, Modern Theory of Critical Phenomena, Benjamin, Reading, Mass. 1976
S. Ma, in: C. Domb and M. S. Green (Eds.), Phase Transitions and Critical Phenomena, Vol. 6, 249–292, Academic Press, London 1976
T. Niemeijer and J. M. J. van Leeuwen, in: C. Domb and M. S. Green (Eds.), Phase Transitions and Critical Phenomena, Vol. 6, 425–505, Academic Press, London 1976
G. Parisi, Statistical Field Theory, Addison-Wesley, Redwood 1988
A. Z. Patashinskii and V.L. Prokovskii, Fluctuation theory of Phase Transitions, Pergamon Press, Oxford 1979
P. Pfeuty and G. Toulouse, Introduction to the Renormalization Group and to Critical Phenomena, John Wiley, London 1977
C. N. R. Rao and K. J. Rao, Phase Transitions in Solids, McGraw Hill, New York 1978
F. Schwabl and U.C. Täuber, Phase Transitions: Renormalization and Scaling, in Encyclopedia of Applied Physics, Vol. 13, 343, VCH (1995)
H.E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Clarendon Press, Oxford 1971
D. Stauffer and A. Aharony, Introduction to Percolation Theory, Taylor and Francis, London and Philadelphia 1985
J. M. J. van Leeuwen in Fundamental Problems in Statistical Mechanics III, Ed. E.G.D. Cohen, North Holland Publishing Company, Amsterdam 1975
K. G. Wilson and J. Kogut, Phys. Rept. 12C, 76 (1974)
K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975)
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 3rd edition, Clarendon Press, Oxford 1996
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Schwabl, F. (2006). Phase Transitions, Scale Invariance, Renormalization Group Theory, and Percolation. In: Statistical Mechanics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36217-7_7
Download citation
DOI: https://doi.org/10.1007/3-540-36217-7_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32343-3
Online ISBN: 978-3-540-36217-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)