A renormalization scheme and skewness of height fluctuations in (1  +  1)-dimensional VLDS dynamics. (25th February 2016)

• Record Type: Journal Article
• Authors: Singha, Tapas; Nandy, Malay K
• Is Part Of: Journal of statistical mechanics. (2016:Feb.)
• Publication Date: 2016-02-25
• Subjects: Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/02/023205
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We study the (1 + 1)-dimensional Villain, Lai, and Das Sarma (VLDS) equation driven by a Gaussian white noise and implement a renormalization scheme without rescaling at one-loop order. Using a diagrammatic method, we calculate the renormalized second and third moments in the large-scale and long-time limits. The ensuing skewness value is S = −0.0441. This (negative) value is consistent with the numerical prediction of Das Sarma et al (1996 Phys. Rev . E 53 359 ).