Fluctuations of a one-dimensional polynuclear growth model in a half space
Statistical Mechanics
2007-05-23 v1 Mathematical Physics
math.MP
Probability
Abstract
We consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, the multi-layer version of the model is reduced to a determinantal process, for which the asymptotics can be analyzed. In the scaling limit, the fluctuations near the origin are shown to be equivalent to those of the largest eigenvalue of the orthogonal/symplectic to unitary transition ensemble at soft edge in random matrix theory.
Keywords
Cite
@article{arxiv.cond-mat/0307011,
title = {Fluctuations of a one-dimensional polynuclear growth model in a half space},
author = {T. Sasamoto and T. Imamura},
journal= {arXiv preprint arXiv:cond-mat/0307011},
year = {2007}
}
Comments
51 pages, 8 figures