Kurtosis of height fluctuations in (1 + 1) dimensional KPZ dynamics. (19th May 2015)

• Record Type: Journal Article
• Authors: Singha, Tapas; Nandy, Malay K
• Is Part Of: Journal of statistical mechanics. (2015:May)
• Publication Date: 2015-05-19
• Subjects: 6 -- 9; 6/240 -- 6/340 -- 9/120 -- 9/300; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/05/P05020
• Languages: English
• ISSNs: 1742-5468

Abstract

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