Hyperskewness of (1  +  1)-dimensional KPZ height fluctuations. (28th January 2016)

• Record Type: Journal Article
• Authors: Singha, Tapas; Nandy, Malay K
• Is Part Of: Journal of statistical mechanics. (2016:Jan.)
• Publication Date: 2016-01-28
• Subjects: 6 -- 9; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/01/013203
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We evaluate the fifth-order normalised cumulant, known as hyperskewness, of height fluctuations dictated by the (1 + 1)-dimensional KPZ equation for the stochastic growth of a surface on a flat geometry in the stationary state. We follow a diagrammatic approach and invoke a renormalisation scheme to calculate the fifth cumulant given by a connected loop diagram. This, together with the result for the second cumulant, leads to the hyperskewness value .