Nonlocal Kardar-Parisi-Zhang equation with spatially correlated noise

被引:30
作者
Chattopadhyay, AK [1 ]
机构
[1] Indian Assoc Cultivat Sci, Dept Theoret Phys, Calcutta 700032, W Bengal, India
来源
PHYSICAL REVIEW E | 1999年 / 60卷 / 01期
关键词
D O I
10.1103/PhysRevE.60.293
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
The effects of spatially correlated noise on a phenomenological equation equivalent to a nonlocal version of the Kardar-Parisi-Zhang (KPZ) equation are studied via the dynamic renormalization group (DRG) techniques. The correlated noise coupled with the long ranged nature of interactions prove the existence of different phases in different regimes, giving rise to a range of roughness exponents defined by their corresponding critical dimensions. Finally self-consistent mode analysis is employed to compare the non-KPZ exponents obtained as a result of the long-range interactions with the DRG results. [S1063-651X(99)11507-1].
引用
收藏
页码:293 / 296
页数:4
相关论文
共 16 条
[1]   SELF-CONSISTENT APPROACH TO THE KARDAR-PARISI-ZHANG EQUATION [J].
BOUCHAUD, JP ;
CATES, ME .
PHYSICAL REVIEW E, 1993, 47 (03) :R1455-R1458
[2]   Self-consistent mode coupling and the Kardar-Parisi-Zhang equation with spatially correlated noise [J].
Chattopadhyay, AK ;
Bhattacharjee, JK .
EUROPHYSICS LETTERS, 1998, 42 (02) :119-123
[3]   KOLMOGOROV TURBULENCE IN A RANDOM-FORCE-DRIVEN BURGERS-EQUATION [J].
CHEKHLOV, A ;
YAKHOT, V .
PHYSICAL REVIEW E, 1995, 51 (04) :R2739-R2742
[4]   KOLMOGOROV TURBULENCE IN A RANDOM-FORCE-DRIVEN BURGERS-EQUATION - ANOMALOUS SCALING AND PROBABILITY DENSITY-FUNCTIONS [J].
CHEKHLOV, A ;
YAKHOT, V .
PHYSICAL REVIEW E, 1995, 52 (05) :5681-5684
[5]   DYNAMICS OF SURFACE ROUGHENING IN DISORDERED MEDIA [J].
CSAHOK, Z ;
HONDA, K ;
SOMFAI, E ;
VICSEK, M ;
VICSEK, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1993, 200 (1-4) :136-154
[6]   THE SURFACE STATISTICS OF A GRANULAR AGGREGATE [J].
EDWARDS, SF ;
WILKINSON, DR .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 381 (1780) :17-31
[7]  
FREY E, CONDMAT9807087
[8]   Multifractality in the stochastic Burgers equation [J].
Hayot, F ;
Jayaprakash, C .
PHYSICAL REVIEW E, 1996, 54 (05) :4681-4684
[9]   ROUGHNESS OF WETTING FLUID INVASION FRONTS IN POROUS-MEDIA [J].
HE, SJ ;
KAHANDA, GLMKS ;
WONG, PZ .
PHYSICAL REVIEW LETTERS, 1992, 69 (26) :3731-3734
[10]  
JUNG Y, CONDMAT9806055