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
来源：
PHYSICAL REVIEW B | 2004年 / 69卷 / 24期
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
  • [21] Probabilistic properties of wavelets in kinetic surface roughening
    Bershadskii, A
    PHYSICAL REVIEW E, 2001, 64 (02): : 4
  • [22] KINETIC SURFACE ROUGHENING AND MOLECULAR BEAM EPITAXY
    Das Sarma, S.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (04) : 784 - 794
  • [23] Morphology of ion sputtered Cu(001) surface: Transition from unidirectional roughening to bidirectional roughening
    Chan, WL
    Chason, E
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 2006, 242 (1-2): : 228 - 231
  • [24] KINETIC ROUGHENING AND STEP FREE-ENERGY IN THE SOLID-ON-SOLID MODEL AND ON NAPHTHALENE CRYSTALS
    ELWENSPOEK, M
    VANDEREERDEN, JP
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (03): : 669 - 678
  • [25] Comment on "Kinetic roughening of ion-sputtered Pd(001) surface: Beyond the Kuramoto-Sivashinsky model" - Reply
    Kim, TC
    PHYSICAL REVIEW LETTERS, 2005, 94 (13)
  • [26] Extended self-similarity in kinetic surface roughening
    Kundagrami, A
    Dasgupta, C
    Punyindu, P
    Das Sarma, S
    PHYSICAL REVIEW E, 1998, 57 (04): : R3703 - R3706
  • [27] Strong anisotropy in surface kinetic roughening: Analysis and experiments
    Vivo, Edoardo
    Nicoli, Matteo
    Engler, Martin
    Michely, Thomas
    Vazquez, Luis
    Cuerno, Rodolfo
    PHYSICAL REVIEW B, 2012, 86 (24)
  • [28] Ab initio simulations of the surface free energy of TiN(001)
    Forslund, Axel
    Zhang, Xi
    Grabowski, Blazej
    Shapeev, Alexander, V
    Ruban, Andrei, V
    PHYSICAL REVIEW B, 2021, 103 (19)
  • [29] Novel local free energy minimum on the Cu(001) surface
    Ovsyanko, M
    Stoian, G
    Wormeester, H
    Poelsema, B
    PHYSICAL REVIEW LETTERS, 2004, 93 (08) : 086103 - 1
  • [30] Kinetic surface roughening for the Mullins-Herring equation
    Darvish, Esmat
    Masoudi, Amir Ali
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (01)
12345