Blunting of conical tips by surface diffusion

Catherine Lamstaes*, Jens Eggers

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)


We study the evolution of an initially conical metal surface when it is heated. For all cone angles α from close to zero to 90 degrees, self-similar solutions with rounded tips are found, whose radius of curvature scales like (time)1/4. For αâ ‰⊃33â̂̃, theoretical profiles agree very well with experiment. For smaller cone angles, we find pronounced oscillations near the tip, which presumably are responsible for the experimentally observed fragility of such tips. The amplitude and wavelength of oscillations are characterized asymptotically.

Original languageEnglish
Article number062408
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Issue number6
Publication statusPublished - 27 Jun 2013


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