Exact solution for the Kardar-Parisi-Zhang equation with flat initial conditions.
作者： Pasquale Calabrese , Pierre Le Doussal
DOI: 10.1103/PHYSREVLETT.106.250603
关键词:
摘要: … We provide the first exact calculation of the height distribution at arbitrary time t of the continuum Kardar-Parisi-Zhang (KPZ) growth equation in one dimension with flat initial conditions. …
harvard.edu
arxiv.org
128.84.21.199参考文章(63)
Satya N. Majumdar, Sergei Nechaev, Exact asymptotic results for the Bernoulli matching model of sequence alignment. Physical Review E. ,vol. 72, pp. 020901- ,(2005) , 10.1103/PHYSREVE.72.020901
Tomohiro Sasamoto, Herbert Spohn, One-dimensional Kardar-Parisi-Zhang equation: an exact solution and its universality. Physical Review Letters. ,vol. 104, pp. 230602- ,(2010) , 10.1103/PHYSREVLETT.104.230602
Michael Prähofer, Herbert Spohn, Scale Invariance of the PNG Droplet and the Airy Process Journal of Statistical Physics. ,vol. 108, pp. 1071- 1106 ,(2002) , 10.1023/A:1019791415147
Jinho Baik, Percy Deift, Kurt Johansson, On the distribution of the length of the longest increasing subsequence of random permutations Journal of the American Mathematical Society. ,vol. 12, pp. 1119- 1178 ,(1999) , 10.1090/S0894-0347-99-00307-0
Jinho Baik, Eric M. Rains, Limiting Distributions for a Polynuclear Growth Model with External Sources Journal of Statistical Physics. ,vol. 100, pp. 523- 541 ,(2000) , 10.1023/A:1018615306992
Éric Brunet, Bernard Derrida, Probability distribution of the free energy of a directed polymer in a random medium Physical Review E. ,vol. 61, pp. 6789- 6801 ,(2000) , 10.1103/PHYSREVE.61.6789
Albert-Laszló Barabási, Harry Eugene Stanley, Fractal Concepts in Surface Growth ,(1995)
Mehran Kardar, Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities Nuclear Physics B. ,vol. 290, pp. 582- 602 ,(1987) , 10.1016/0550-3213(87)90203-3
Patrik L Ferrari, Herbert Spohn, A determinantal formula for the GOE Tracy-Widom distribution Journal of Physics A. ,vol. 38, ,(2005) , 10.1088/0305-4470/38/33/L02
David A. Huse, Christopher L. Henley, Daniel S. Fisher, Huse, Henley, and Fisher respond. Physical Review Letters. ,vol. 55, pp. 2924- 2924 ,(1985) , 10.1103/PHYSREVLETT.55.2924