Upper critical dimension of the Kardar-Parisi-Zhang equation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 5, 2012, Pages

  Schwartz, Moshe ^a   Perlsman, Ehud ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b NONE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

PERCOLATION (SOLID STATE); SOLVENTS;

DIRECTED PERCOLATION; ENERGY FLUCTUATION; FINITE SIZE EFFECT; KARDAR-PARISI-ZHANG EQUATIONS; NUMERICAL RESULTS; SCALING RELATIONS; STRONG DISORDERS; UPPER CRITICAL DIMENSION;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 84861873630     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.050103     Document Type: Article

References (36)

1. D. C. Leslie, Development of the Theory of Turbulence (Oxford University Press, Oxford, UK, 1973).
2. W. D. McComb, The Physics of Hydrodynamic Turbulence (Oxford University Press, Oxford, UK, 1990).
3. S. F. Edwards and R. Wilkinson, Proc. R. Soc. London. Ser. A 1364-5021 10.1098/rspa.1982.0056 381, 17 (1982).
4. M. Kardar, G. Parisi, and Y. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.889 56, 889 (1986).
5. M. Kardar and Y. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2087 58, 2087 (1987).
6. D. E. Wolf and J. Kertesz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/4/6/003 4, 651 (1987).
7. J. Cook and B. Derrida, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/23/9/017 23, 1523 (1990).
8. M. Schwartz and S. F. Edwards, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/20/4/003 20, 301 (1992).
9. M. Schwartz and S. F. Edwards, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57.5730 57, 5730 (1998).
10. E. Katzav and M. Schwartz, Phys. Rev. E 1539-3755 10.1103/PhysRevE.60. 5677 60, 5677 (1999).
11. E. Katzav, Physica A 0378-4371 10.1016/S0378-4371(02)00597-6 309, 79 (2002). (Pubitemid 34614309)
12. E. Katzav, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.032103 65, 032103 (2002). (Pubitemid 40619167)
13. E. Katzav, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.046113 68, 046113 (2003).
14. E. Katzav, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.031607 68, 031607 (2003).
15. J. P. Bouchaud and M. E. Cates, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.47.R1455 47, 1455 (1993).
16. M. A. Moore, T. Blum, J. P. Doherty, M. Marsili, J. P. Bouchaud, and P. Claudin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4257 74, 4257 (1995).
17. E. Katzav and M. Schwartz, Physica A 0378-4371 10.1016/S0378-4371(02) 00553-8 309, 69 (2002). (Pubitemid 34614308)
18. M. Lassig and H. Kinzelbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.903 78, 903 (1997).
19. E. Perlsman and M. Schwartz, Physica A 0378-4371 10.1016/S0378-4371(96) 00237-3 234, 523 (1996).
20. C. Castellano, M. Marsili, and L. Pietronero, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.3527 80, 3527 (1998).
21. T. Ala-Nissila, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01048047 72, 207 (1993).
22. T. Ala-Nissila, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 887 80, 887 (1998);
23. T. Ala-Nissila, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.80.5459 80, 5459 (1998) (erratum).
24. J. M. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.888 80, 888 (1998).
25. M. Lassig and H. Kinzelbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.889 80, 889 (1998).
26. F. Colaiori and M. A. Moore, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.86.3946 86, 3946 (2001). (Pubitemid 32443911)
27. P. Le Doussal and K. J. Wiese, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.035101 72, 035101 (R) (2005). (Pubitemid 41778132)
28. H. C. Fogedby, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 195702 94, 195702 (2005). (Pubitemid 41492986)
29. L. Canet, H. Chate, B. Delamotte, and N. Wschebor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.150601 104, 150601 (2010).
30. E. Perlsman and M. Schwartz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/17/1/003 17, 11 (1992).
31. E. Perlsman and S. Havlin, EuroPhys. J. B 43, 517 (2005).
32. P. Grassberger and Y.-C. Zhang, Physica A 0378-4371 10.1016/0378-4371(95) 00321-5 224, 169 (1996).
33. P. DeLosRios, G. Caldarelli, A. Maritan, and F. Seno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.R2029 53, R2029 (1996).
34. H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000). (Pubitemid 35381843)
35. E. Marinari, A. Pagnani, and G. Parisi, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/33/46/303 33, 8181 (2000).
36. E. Katzav and M. Schwartz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.061608 70, 061608 (2004). (Pubitemid 40219640)