Abstract
The concept of percolation is a fundamental one in the physics of disordered systems and has been discussed at length at this Institute. Over the last decade, a consistent theory of percolation has emerged, borrowing heavily from the familiar description of critical phenomena. In particular, in two dimensions (2D) a small set of plausible assumptions has led to a conjectured exact theory for the asymptotic behaviour near the percolation threshold, pc.[1] Central amongst these is the assumption that the critical singularities are in the form of power laws.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
B.Nienhuis, J.Stat.Phys. 34, 731 (1984), and references therein
G.Jug, Phys.Rev.Lett. 53, 9 (1984)
G.Jug, Phys.Rev.Lett. (submitted)
M.F.Sykes, private communication
See also D.Andelman and A.N.Berker, J.Phys.A 14, L91 (1981)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Jug, G. (1991). Grassmann Path Integral Approach to Two-Dimensional Percolation Near the Critical Point. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_30
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1402-9_30
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1404-3
Online ISBN: 978-1-4757-1402-9
eBook Packages: Springer Book Archive