The KPZ equation with flat initial condition and the directed polymer with one free end

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2012, Issue 6, 2012, Pages

  Le Doussal, Pierre ^a   Calabrese, Pasquale ^b  

^a CNRS   (France)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

classical integrability; disordered systems (theory); exact results; interfaces in random media (theory)

Indexed keywords

EID: 84863312951     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2012/06/P06001     Document Type: Article

References (85)

1. Kardar M, Parisi G and Zhang Y C 1986 Phys. Rev. Lett. 56 889
2. Barabasi A-L and Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
3. Krug J 1997 Adv. Phys. 46 139
4. Kardar M and Zhang Y-C 1987 Phys. Rev. Lett. 58 2087
5. Halpin-Healy T and Zhang Y-C 1995 Phys. Rep. 254 215
6. Blatter G, Feigelman M V, Geshkenbein V B, Larkin A I and Vinokur V M 1994 Rev. Mod. Phys. 66 1125
7. Lemerle S, Ferré J, Chappert C, Mathet V, Giamarchi T and Le Doussal P 1998 Phys. Rev. Lett. 80 849
8. Hwa T and Lassig M 1996 Phys. Rev. Lett. 76 2591
9. Bec J and Khanin K 2007 Phys. Rep. 447 1
10. Huse D A, Henley C L and Fisher D S 1985 Phys. Rev. Lett. 55 2924
11. Tong W M and Williams R W 1994 Ann. Rev. Phys. Chem. 45 401
12. Miettinen L et al 2005 Eur. Phys. J. B 46 55 (Pubitemid 41144038)
13. Degawa M et al 2006 Phys. Rev. Lett. 97 080601 (Pubitemid 44273996)
14. Takeuchi K A and Sano M 2010 Phys. Rev. Lett. 104 230601
15. Takeuchi K A, Sano M, Sasamoto T and Spohn H 2011 Sci. Rep. (Nature) 1 34
16. Johansson K 2000 Commun. Math. Phys. 209 437
17. Prahofer M and Spohn H 2000 Phys. Rev. Lett. 84 4882
18. Prahofer M and Spohn H 2002 J. Stat. Phys. 108 1071 (Pubitemid 37133781)
19. Prahofer M and Spohn H 2004 J. Stat. Phys. 115 255
20. Baik J and Rains E M 2000 J. Stat. Phys. 100 523
21. Ferrari P L and Spohn H 2006 Commun. Math. Phys. 265 1 (Pubitemid 43747212)
22. de Gier J and Essler F H L 2011 Phys. Rev. Lett. 107 010602
23. Rambeau J and Schehr G 2011 Phys. Rev. E 83 061146
24. Forrester P, Majumdar S N and Schehr G 2011 Nucl. Phys. B 844 500
25. Tracy C A and Widom H 1994 Commun. Math. Phys. 159 151
26. Baik J, Deift P A and Johansson K 1999 J. Am. Math. Soc. 12 1119
27. Majumdar S N and Nechaev S 2005 Phys. Rev. E 72 020901 (Pubitemid 41520849)
28. Majumdar S N and Nechaev S 2004 Phys. Rev. E 69 011103
29. Gravner J, Tracy C A and Widom H 2001 J. Stat. Phys. 102 1085
30. Ferrari P L 2004 Commun. Math. Phys. 252 77 (Pubitemid 40067014)
31. Sasamoto T 2005 J. Phys. A: Math. Gen. 38 L549
32. Ferrari P L and Spohn H 2010 arXiv:1003.0881
33. Corwin I and Quastel J 2011 arXiv:1103.3422
34. Calabrese P, Le Doussal P and Rosso A 2010 Europhys. Lett. 90 20002
35. Dotsenko V 2010 Europhys. Lett. 90 20003
36. Dotsenko V 2010 J. Stat. Mech. P07010
37. Dotsenko V and Klumov B 2010 J. Stat. Mech. P03022
38. Kardar M 1987 Nucl. Phys. B 290 582
39. Bouchaud J P and Orland H 1990 J. Stat. Phys. 61 877
40. Brunet E and Derrida B 2000 Phys. Rev. E 61 6789
41. Brunet E and Derrida B 2000 Physica A 279 395
42. Sasamoto T and Spohn H 2010 Phys. Rev. Lett. 104 230602
43. Sasamoto T and Spohn H 2010 Nucl. Phys. B 834 523
44. Sasamoto T and Spohn H 2010 J. Stat. Phys. 140 209
45. Amir G, Corwin I and Quastel J 2011 Commun. Pure Appl. Math. 64 466
46. Bustingorry S, Le Doussal P and Rosso A 2010 Phys. Rev. B 82 140201
47. Prolhac S and Spohn H 2011 J. Stat. Mech. P03020
48. Prolhac S and Spohn H 2011 J. Stat. Mech. P01031
49. Prolhac S and Spohn H 2011 Phys. Rev. E 84 011119
50. Prolhac S and Spohn H 2011 J. Math. Phys. 52 122106
51. Calabrese P and Le Doussal P 2011 Phys. Rev. Lett. 106 250603
52. Imamura T and Sasamoto T 2011 J. Phys. A: Math. Theor. 44 385001
53. Imamura T and Sasamoto T 2011 arXiv:1111.4634
54. Dotsenko V S, Geshkenbein V B, Gorokhov D A and Blatter G 2010 Phys. Rev. B 82 174201
55. Dotsenko V 2011 Europhys. Lett. 95 50006
56. Schehr G 2012 arXiv:1203.1658
57. Moreno Flores G R, Quastel J and Remenik D 2011 arXiv:1106.2716
58. Quastel J and Remenik D 2011 arXiv:1111.2565
59. Quastel J and Remenik D 2012 arXiv:1203.2907
60. Quastel J and Remenik D 2012 arXiv:1203.2907
61. Quastel J and Remenik D 2011 Electr. Commun. Probab. 16 712
62. Borodin A, Corwin I and Ferrari P 2012 arXiv:1204.1024
63. Corwin I and Hammond A 2011 arXiv:1108.2291
64. Corwin I, Quastel J and Remenik D 2011 arXiv:1106.2717
65. Corwin I and Quastel J 2010 arXiv:1006.1338
66. Alberts T, Khanin K and Quastel J 2012 arXiv:1202.4398
67. Alberts T, Khanin K and Quastel J 2012 arXiv:1202.4403
68. Borodin A and Corwin I 2011 arXiv:1111.4408
69. Corwin I 2011 arXiv:1106.1596
70. Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
71. McGuire J B 1964 J. Math. Phys. 5 622
72. Calabrese P and Caux J-S 2007 Phys. Rev. Lett. 98 150403 (Pubitemid 46574385)
73. Calabrese P and Caux J-S 2007 J. Stat. Mech. P08032
74. Calabrese P, Le Doussal P and Rosso A in preparation
75. Ferrari P L and Spohn H 2005 J. Phys. A: Math. Gen. 38 L557
76. Gaudin M 1983 La Fonction Donde de Bethe (Paris: Masson)
77. Korepin V E 1982 Commun. Math. Phys. 86 391
78. Slavnov N A 1989 Teor. Mat. Fiz. 79 232
79. Hagemans R and Caux J-S 2007 J. Phys. A: Math. Theor. 40 14605
80. Hagemans R 2007 PhD Thesis (University of Amsterdam)
81. See section 8 of Rains E M 2000 arXiv:math.CO/0006097
82. See appendix of Borodin A and Kanzieper E 2007 J. Phys. A: Math. Theor. 40 F849
83. Schur I and Reine J 1911 Angew. Math. 139 155
84. Ishikawa M, Okada S, Tagawa H and Zeng J 2006 Adv. Appl. Math. 36 251
85. Vallee O, Soares M and de Izarra C 1997 Z. Angew. Math. Phys. 48 156