TY - JOUR
T1 - Velocity selection in dendritic growth
AU - Kessler, David A.
AU - Levine, Herbert
PY - 1986
Y1 - 1986
N2 - We show that the velocity and shape of two-dimensional dendritic crystals can be determined by solving the steady-state evolution equation at finite surface tension. We find that in the zero undercooling limit, crystal anisotropy is necessary to obtain finite velocities. Furthermore, the " solvability" condition at zero anisotropy and small undercooling is essentially singular in the velocity. Finally, we comment on the extension of our results to finite Peclet number and to three dimensions.
AB - We show that the velocity and shape of two-dimensional dendritic crystals can be determined by solving the steady-state evolution equation at finite surface tension. We find that in the zero undercooling limit, crystal anisotropy is necessary to obtain finite velocities. Furthermore, the " solvability" condition at zero anisotropy and small undercooling is essentially singular in the velocity. Finally, we comment on the extension of our results to finite Peclet number and to three dimensions.
UR - https://www.scopus.com/pages/publications/0000236768
U2 - 10.1103/physrevb.33.7867
DO - 10.1103/physrevb.33.7867
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AN - SCOPUS:0000236768
SN - 0163-1829
VL - 33
SP - 7867
EP - 7870
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 11
ER -