English

Kurtosis of height fluctuations in $(1+1)$ dimensional KPZ Dynamics

Statistical Mechanics 2015-11-19 v2

Abstract

We study the fourth order normalized cumulant of height fluctuations governed by 1+11+1 dimensional Kardar-Parisi-Zhang (KPZ) equation for a growing surface. Following a diagrammatic renormalization scheme, we evaluate the kurtosis QQ from the connected diagrams leading to the value Q=0.1523Q=0.1523 in the large-scale long-time limit.

Keywords

Cite

@article{arxiv.1505.01989,
  title  = {Kurtosis of height fluctuations in $(1+1)$ dimensional KPZ Dynamics},
  author = {Tapas Singha and Malay K. Nandy},
  journal= {arXiv preprint arXiv:1505.01989},
  year   = {2015}
}

Comments

12 pages, 2 figures, version accepted in J. Stat. Mech