TY - JOUR
T1 - Blunting of conical tips by surface diffusion
AU - Lamstaes, Catherine
AU - Eggers, Jens
PY - 2013/6/27
Y1 - 2013/6/27
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84879835160&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.87.062408
DO - 10.1103/PhysRevE.87.062408
M3 - Article (Academic Journal)
C2 - 23848698
AN - SCOPUS:84879835160
SN - 1539-3755
VL - 87
JO - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 062408
ER -