Nonequilibrium free energy and kinetic roughening of steps on the Kossel(001) surface

被引:24
|
作者
Cuppen, HM
Meekes, H
van Enckevort, WJP
Vlieg, E
Knops, HJF
机构
[1] Univ Nijmegen, NSRIM Dept Solid State Chem, NL-6525 ED Nijmegen, Netherlands
[2] Univ Nijmegen, Dept Theoret Phys, NL-6525 ED Nijmegen, Netherlands
关键词
D O I
10.1103/PhysRevB.69.245404
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper studies the nonequilibrium energetics of growth steps. It discusses the energy and free energy of a [100] step on a Kossel(001) crystal surface as a function of the driving force in the case that two-dimensional nucleation is not active. Theoretical expressions for these energies are derived and are found to agree with data obtained from Monte Carlo simulations of step flow. The nonequilibrium expressions allow us to propose that the vanishing of the step free energy beyond a critical value of the driving force defines the onset of the kinetic roughening regime. This is found to agree with the earlier phenomenological criteria for this transition.
引用
收藏
页码:245404 / 1
页数:6
相关论文
共 50 条
  • [41] Computer simulation of the surface free energy of the Si(100) surface and the line free energies associated with steps on this surface
    Somasi, S
    Khomami, B
    Lovett, R
    JOURNAL OF PHYSICAL CHEMISTRY B, 2004, 108 (51): : 19721 - 19728
  • [42] Free surface roughening under simple tension
    Leu, Daw-Kwei
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2018, 95 (5-8): : 2349 - 2356
  • [43] Temperature dependence of surface roughening during homoepitaxial growth on Cu(001)
    Botez, CE
    Miceli, PF
    Stephens, PW
    PHYSICAL REVIEW B, 2001, 64 (12):
  • [44] Direct observation of surface alloying and interface roughening: Growth of an on Fe(001)
    Bischoff, MMJ
    Yamada, T
    Quinn, AJ
    van der Kraan, RGP
    van Kempen, H
    PHYSICAL REVIEW LETTERS, 2001, 87 (24) : 246102 - 1
  • [45] Roughening and islanding of monolayer Ge coverage on vicinal Si(001) surface
    Guo, LW
    Lin, N
    Huang, Q
    Zhou, JM
    Cue, N
    APPLIED SURFACE SCIENCE, 1998, 126 (3-4) : 213 - 218
  • [46] Dynamics of spontaneous roughening on the GaAs(001)-(2 x 4) surface
    Ding, Z
    Bullock, DW
    Oliver, WF
    Thibado, PM
    LaBella, VP
    JOURNAL OF CRYSTAL GROWTH, 2003, 251 (1-4) : 35 - 39
  • [47] ROUGHENING INSTABILITY AND EVOLUTION OF THE GE(001) SURFACE DURING ION SPUTTERING
    CHASON, E
    MAYER, TM
    KELLERMAN, BK
    MCILROY, DT
    HOWARD, AJ
    PHYSICAL REVIEW LETTERS, 1994, 72 (19) : 3040 - 3043
  • [48] Time-dependent couplings and crossover length scales in nonequilibrium surface roughening
    Pradas, Marc
    Lopez, Juan M.
    Hernandez-Machado, A.
    PHYSICAL REVIEW E, 2007, 76 (01):
  • [49] KINETIC SURFACE ROUGHENING IN MOLECULAR-BEAM EPITAXY OF INP
    COTTA, MA
    HAMM, RA
    STALEY, TW
    CHU, SNG
    HARRIOTT, LR
    PANISH, MB
    TEMKIN, H
    PHYSICAL REVIEW LETTERS, 1993, 70 (26) : 4106 - 4109
  • [50] Second nearest neighbors interaction and equilibrium shape of steps on kossel crystal vicinal surface
    Korsakov, V. B.
    Suris, R. A.
    International Journal of Nanoscience, Vol 3, Nos 1 and 2, 2004, 3 (1-2): : 29 - 37