Kurtosis of height fluctuations in (1+1) dimensional KPZ dynamics

被引：6

作者：

Singha, Tapas ^{[1
]}

Nandy, Malay K. ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Phys, Gauhati 781039, India

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2015年

关键词：

kinetic roughening (theory); self-affine roughness (theory); dynamical processes (theory); stochastic processes (theory); RENORMALIZATION-GROUP ANALYSIS; DIRECTED POLYMERS; BALLISTIC DEPOSITION; SCALING FUNCTIONS; INTERFACE GROWTH; SURFACE GROWTH; CRYSTAL-GROWTH; RANDOM-MEDIA; ACTIVE ZONE; EDEN MODEL;

D O I：

10.1088/1742-5468/2015/05/P05020

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页数：11

共 51 条

[1] UNIVERSALITY IN SURFACE GROWTH - SCALING FUNCTIONS AND AMPLITUDE RATIOS [J].

AMAR, JG ;

FAMILY, F .

PHYSICAL REVIEW A, 1992, 45 (08) :5378-5393

[2]

Barabasi A.-L., 1995, Fractal Concepts in Surface Growth, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]

[3] Nonperturbative Renormalization Group for the Kardar-Parisi-Zhang Equation [J].

Canet, Leonie ;

Chate, Hugues ;

Delamotte, Bertrand ;

Wschebor, Nicolas .

PHYSICAL REVIEW LETTERS, 2010, 104 (15)

[4] Upper critical dimension, dynamic exponent, and scaling functions in the mode-coupling theory for the Kardar-Parisi-Zhang equation [J].

Colaiori, F ;

Moore, MA .

PHYSICAL REVIEW LETTERS, 2001, 86 (18) :3946-3949

[5]

Eden M., 1961, P 4 BERK S MATH STAT

[6] SCALING OF THE ACTIVE ZONE IN THE EDEN PROCESS ON PERCOLATION NETWORKS AND THE BALLISTIC DEPOSITION MODEL [J].

FAMILY, F ;

VICSEK, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02) :L75-L81

[7] DIRECTED PATHS IN A RANDOM POTENTIAL [J].

FISHER, DS ;

HUSE, DA .

PHYSICAL REVIEW B, 1991, 43 (13) :10728-10742

[8] LARGE-DISTANCE AND LONG-TIME PROPERTIES OF A RANDOMLY STIRRED FLUID [J].

FORSTER, D ;

NELSON, DR ;

STEPHEN, MJ .

PHYSICAL REVIEW A, 1977, 16 (02) :732-749

[9] KINETICS OF A MODEL FOR NUCLEATION-CONTROLLED POLYMER CRYSTAL-GROWTH [J].

GOLDENFELD, N .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (14) :2807-2821

[10] Universal aspects of curved, flat, and stationary-state Kardar-Parisi-Zhang statistics [J].

Halpin-Healy, Timothy ;

Lin, Yuexia .

PHYSICAL REVIEW E, 2014, 89 (01)

← 1 2 3 4 5 6 →