Renormalization group treatment of correlated percolation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 3, 2000, Pages 2432-2435

  Mendelson, Kenneth S ^a  

^a Marquette University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PERCOLATION (SOLID STATE); STATISTICAL MECHANICS;

GAUSSIAN STATISTICS; PERCOLATION THRESHOLDS; RENORMALIZATION GROUP; SITE PERCOLATION; TRIANGULAR LATTICE;

SOLVENTS;

EID: 0000013645     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2432     Document Type: Article

References (11)

1. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 1992).
2. G. Grimmett, Percolation, 2nd ed. (Springer-Verlag, New York, 1999).
3. R. J. Creswick, H. A. Farach, and C. P. Poole, Jr., Introduction to Renormalization Group Methods in Physics (Wiley, New York, 1992), Chap. 3.
4. M. J. Beran, Statistical Continuum Theories (Interscience, New York, 1968), Chap. 2.
5. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. Stegun, (U.S. GPO, Washington, DC, 1964), Chap. 7.
6. W. Feller, An Introduction to Probability Theory and its Applications, 2nd ed. (Wiley, New York, 1957), Vol. 2, p. 85, theorem 4.
7. An Introduction to Probability Theory and its Applications (Ref. 6), Vol. 1, p. 222, theorem (unnumbered).
8. M. F. Sykes and J. W. Essam, J. Math. Phys. 5, 1117 (1964).
9. J. W. Essam, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, London, 1972), Vol. 2, p. 197.
10. H. Kesten, Percolation Theory for Mathematicians (Birkäuser, Boston, 1982), Sec. 2.2.
11. G. A. Jennings, Modern Geometry with Applications (Springer-Verlag, New York, 1994), pp. 51–53.