Directed percolation in two dimensions: An exact solution

Nankai Tracts in Mathematics; Differential Geometry and Physics - Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, DGMTP 2005

Volumn 10, Issue , 2006, Pages 160-168

  Chen, L C ^a   Wu, F Y ^b  

^a FU JEN CATHOLIC UNIVERSITY   (Taiwan)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

Critical behavior; Directed percolation

Indexed keywords

ASPECT RATIO; PERCOLATION (SOLID STATE); PROBABILITY; SOLVENTS;

CLOSED-FORM EXPRESSION; CORRELATION LENGTHS; CRITICAL BEHAVIOR; CRITICAL EXPONENT; DIRECTED PERCOLATION; OCCUPATION PROBABILITY; PERCOLATION PROBABILITY; RECTANGULAR LATTICES;

GEOMETRY;

EID: 78649260505     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1142/9789812772527_0010     Document Type: Conference Paper

References (6)

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2. B. D. Hughes, Random walks and random environments, Vol. 2 (Oxford University Press, New York 1996) p. 59.
3. E. Domany and W. Kinzel, Directed percolation in 2 dimensions: Numerical analysis and an exact solution, Phys. Rev. Lett. 47, 5-8 (1981).
4. F. Y. Wu and H. E. Stanley, Domany-Kinzel model of directed percolation: Formulation as a random-walk problem and some exact results, Phys. Rev. Lett. 48, 775-778 (1982).
5. P. M. Morse and H. Feshbach, Methods of thoretical physics, Vol. 1 (McGraw-Hill, New York 1953) p. 434.
6. P. Dennery and A. Krzywicki, Mathematics for physicists (Harper and Row, New York 1967), reprinted (Dover, New York 1996) p. 87.