Small scale properties of the stochastic stabilized Kuramoto-Sivashinsky equation

被引:6
作者
Buceta, J [1 ]
Pastor, JM [1 ]
Rubio, MA [1 ]
de la Rubia, FJ [1 ]
机构
[1] Univ Nacl Educ Distancia, Dept Fis Fundamental, E-28040 Madrid, Spain
来源
PHYSICA D | 1998年 / 113卷 / 2-4期
关键词
surface growth; scaling laws; stochastic models; electrodeposition; morphological instability;
D O I
10.1016/S0167-2789(97)00265-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present analytical and numerical results about the scaling properties at short times and small length scales of the stochastic version of the stabilized Kuramoto-Sivashinky equation (SSKS) in 1 + 1 dimensions. recently considered to model the slow compact growth in electrodeposition. By using the linearized fluctuation theory we obtain several relevant quantities related to the scaling properties. We compare these results with numerical simulations and find that the SSKS equation has an anomalous scaling behaviour. Copyright (C) 1998 Elsevier Science B.V.
引用
收藏
页码:166 / 171
页数:6
相关论文
共 22 条
  • [1] Barabasi A-Ls, 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
  • [2] NONLINEAR EVOLUTION OF A TERRACE EDGE DURING STEP-FLOW GROWTH
    BENA, I
    MISBAH, CQ
    VALANCE, A
    [J]. PHYSICAL REVIEW B, 1993, 47 (12): : 7408 - 7419
  • [3] The stochastic stabilized Kuramoto-Sivashinsky equation: a model for compact electrodeposition growth
    Buceta, J
    Pastor, J
    Rubio, MA
    delaRubia, FJ
    [J]. PHYSICS LETTERS A, 1997, 235 (05) : 464 - 468
  • [4] DYNAMIC SCALING OF ION-SPUTTERED SURFACES
    CUERNO, R
    BARABASI, AL
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (23) : 4746 - 4749
  • [5] STOCHASTIC-MODEL FOR SURFACE EROSION VIA ION SPUTTERING - DYNAMICAL EVOLUTION FROM RIPPLE MORPHOLOGY TO ROUGH MORPHOLOGY
    CUERNO, R
    MAKSE, HA
    TOMASSONE, S
    HARRINGTON, ST
    STANLEY, HE
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (24) : 4464 - 4467
  • [6] KINETIC SUPERROUGHENING AND ANOMALOUS DYNAMIC SCALING IN NONEQUILIBRIUM GROWTH-MODELS
    DASSARMA, S
    GHAISAS, SV
    KIM, JM
    [J]. PHYSICAL REVIEW E, 1994, 49 (01): : 122 - 125
  • [7] ON THE NONLINEAR EVOLUTION OF A SOLID LIQUID INTERFACE
    FRANKEL, ML
    [J]. PHYSICS LETTERS A, 1988, 128 (1-2) : 57 - 60
  • [8] STABLE GROWTH AND KINETIC ROUGHENING IN ELECTROCHEMICAL DEPOSITION
    IWAMOTO, A
    YOSHINOBU, T
    IWASAKI, H
    [J]. PHYSICAL REVIEW LETTERS, 1994, 72 (25) : 4025 - 4028
  • [9] COLUMNAR GROWTH AND KINETIC ROUGHENING IN ELECTROCHEMICAL DEPOSITION
    KAHANDA, GLMKS
    ZOU, XQ
    FARRELL, R
    WONG, PZ
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (25) : 3741 - 3744
  • [10] PATTERN SELECTION IN FINGERED GROWTH PHENOMENA
    KESSLER, DA
    KOPLIK, J
    LEVINE, H
    [J]. ADVANCES IN PHYSICS, 1988, 37 (03) : 255 - 339