Memory effects in a nonequilibrium growth model

被引:7
作者
Chattopadhyay, Amit K. [1 ,2 ]
机构
[1] Univ Delhi, Dept Phys & Astrophys, Delhi 110007, India
[2] Univ Padua, Dipartimento Fis G Galilei, I-35131 Padua, Italy
来源
PHYSICAL REVIEW E | 2009年 / 80卷 / 01期
关键词
RENORMALIZATION-GROUP ANALYSIS; EQUATION; EXPONENTS; NOISE;
D O I
10.1103/PhysRevE.80.011144
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study memory effects in a kinetic roughening model. For d=1, a different dynamic scaling is uncovered in the memory dominated phases; the Kardar-Parisi-Zhang scaling is restored in the absence of noise. d(c)=2 represents the critical dimension where memory is shown to smoothen the roughening front (alpha <= 0). Studies on a discrete atomistic model in the same universality class reconfirm the analytical results in the large time limit, while a different scaling behavior shows up for t < tau , with tau being the memory characteristic of the atomistic model. Results can be generalized for other nonconservative systems.
引用
收藏
页数:5
相关论文
共 38 条
[1]   SCALING EXPONENTS FOR KINETIC ROUGHENING IN HIGHER DIMENSIONS [J].
ALANISSILA, T ;
HJELT, T ;
KOSTERLITZ, JM ;
VENALAINEN, O .
JOURNAL OF STATISTICAL PHYSICS, 1993, 72 (1-2) :207-225
[2]  
[Anonymous], 1995, FRACTAL CONCEPT SURF, DOI DOI 10.1017/CBO9780511599798
[3]   Nonlocal Kardar-Parisi-Zhang equation with spatially correlated noise [J].
Chattopadhyay, AK .
PHYSICAL REVIEW E, 1999, 60 (01) :293-296
[4]   Thermal re-emission model [J].
Chattopadhyay, AK .
PHYSICAL REVIEW B, 2002, 65 (04) :1-4
[5]   Noise-induced memory in extended excitable systems [J].
Chialvo, DR ;
Cecchi, GA ;
Magnasco, MO .
PHYSICAL REVIEW E, 2000, 61 (05) :5654-5657
[6]   Surface roughening in shadowing growth and etching in 2+1 dimensions [J].
Drotar, JT ;
Zhao, YP ;
Lu, TM ;
Wang, GC .
PHYSICAL REVIEW B, 2000, 62 (03) :2118-2125
[7]   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
[8]   Elastic systems with correlated disorder: Response to tilt and application to surface growth [J].
Fedorenko, Andrei A. .
PHYSICAL REVIEW B, 2008, 77 (09)
[9]   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
[10]   Feedback control of intercellular signalling in development [J].
Freeman, M .
NATURE, 2000, 408 (6810) :313-319