Surface evolution of crystalline tubes - Effect of lattice diffusion

Fuqian Yang, Wei Song, Jun Zhang

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The surface evolution of an annular tube has been established on the basis of lattice diffusion and linear stability analysis. Without surface disturbance, the annular tube shrinks to reduce the surface energy while the cross-sectional area of the tube remains constant. For an annular tube having infinitesimal thickness, the time dependence of the tube radius follows a linear law. When surface energy is significant, a new dispersion relation describing the morphological stability of crystalline tubes due to longitudinal surface perturbation has been formulated. A criterion has been obtained on the dependence of perturbation growth rate on perturbation frequency. The perturbation will grow when the perturbation frequency is less than the critical frequency, which is equal to the inverse of the inner surface radius. The surface instability leads to the formation of closed end of crystalline tubes.

Original languageEnglish
Pages (from-to)285-293
Number of pages9
JournalThin Solid Films
Issue number1-2
StatePublished - Mar 1 2005


  • Diffusion
  • Growth mechanism
  • Surface energy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Metals and Alloys
  • Materials Chemistry


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