Statistics of layered zigzags: A two-dimensional generalization of TASEP

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 1, 2011, Pages

  Tamm, Mikhail ^a   Nechaev, Sergei ^b,c   Majumdar, Satya N ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITÉ PARIS SUD   (France)

^c LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78751507404     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/1/012002     Document Type: Article

References (35)

1. Beijeren H van, Kutner R and Spohn H 1985 Phys. Rev. Let. 54 2026
2. Plischke M, Racz Z and Liu D 1987 Phys. Rev. B 35 3485
3. Majumdar S N and Barma M 1991 Phys. Rev. B 44 5306
4. For a recent review on this subject see Kriecherbauer T and Krug J 2010 J. Phys. A: Math. Theor. 43 403001
5. Kardar M, Parisi G and Zhang Y C 1986 Phys. Rev. Lett. 56 889
6. Spitzer F 1970 Adv. Math. 5 246
7. Liggett T M 1985 Interacting Particle Systems (New York: Springer)
8. Spohn H 1991 Large Scale Dynamics of Interacting Particles (New York: Springer)
9. Dhar D 1987 Phase Transit. 9 51
10. Gwa L H and Spohn H 1992 Phys. Rev. A 46 844
11. Kim J M and Kosterlitz J M 1989 Phys. Rev. Lett. 62 2289
12. Herman M A and Sitter H 1996 Molecular Beam Epitaxy: Fundamentals and Current (Berlin: Springer)
13. Halpin-Healy T and Zhang Y-C 1995 Phys. Rep. 254 215
14. Bec J and Khanin K 2007 Phys. Rep. 447 1
15. Meakin P 1998 Fractals, Scaling, and Growth Far From Equilibrium (Cambridge: Cambridge University Press)
16. Prähofer M and Spohn H 2000 Phys. Rev. Lett. 84 4882
17. Prähofer M and Spohn H 2002 J. Stat. Phys. 108 1071
18. Baik J and Rains E M 2000 J. Stat. Phys. 100 523
19. Johansson K 2003 Commun. Math. Phys. 242 277
20. Mandelbrot B B 1982 The Fractal Geometry of Nature (New York: Freeman)
21. Meakin P, Ramanlal P, Sander L M and Ball R C 1986 Phys. Rev. A 34 5091
22. Krug J and Meakin P 1989 Phys. Rev. A 40 2064
23. Blomker D, Maier-Paape S and Wanner T 2001 Interfaces Free Boundaries 3 465
24. Wolf D E 1991 Phys. Rev. Lett. 67 1783
25. Prähofer M and Spohn H 1997 J. Stat. Phys. 88 999
26. Borodin A and Ferrari P L 2008 arXiv:0804.3035
27. Borodin A and Ferrari P L 2009 J. Stat. Mech. P02009 (arXiv:0811.0682)
28. Borodin A and Ferrari P L 2008 Electron. J. Probab. 13 1380
29. Odor G, Liedke B and Heining K-H 2009 Phys. Rev. E 79 021125
30. Priezzhev V B 2003 Phys. Rev. Lett. 91 050601
31. Majumdar S N and Nechaev S 2004 Phys. Rev. E 69 011103
32. Majumdar S N 1992 PhD Thesis Tata Institute of Fundamental Research, Mumbai
33. Gupta S, Majumdar S N, Godreche C and Barma M 2007 Phys. Rev. E 76 021112
34. Chowdhury D, Santen L and Schadschneider A 2000 Phys. Rep. 329 199
35. Tamm M, Nechaev S and Majumdar S N in preparation