Crossover Scaling in Dendritic Evolution at Low Undercooling
- 31 May 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (22) , 4496-4499
- https://doi.org/10.1103/physrevlett.82.4496
Abstract
We examine scaling in two-dimensional simulations of dendritic growth at low undercooling, as well as in three-dimensional pivalic acid dendrites grown on NASA's USMP-4 isothermal dendritic growth experiment. We report new results on self-affine evolution in both the experiments and simulations. We find that the time-dependent scaling of our low undercooling simulations displays a crossover scaling from a regime different than that characterizing Laplacian growth to steady-state growth.Keywords
All Related Versions
This publication has 25 references indexed in Scilit:
- Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field methodPublished by Elsevier ,2003
- Phase-field model for solidification of a eutectic alloyProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1996
- Computation of the dendritic operating state at large supercoolings by the phase field modelPhysical Review E, 1996
- Phase-field model for activated reaction frontsPhysical Review B, 1996
- Stochastic eutectic growthPhysical Review Letters, 1994
- Phase-field model for isothermal phase transitions in binary alloysPhysical Review A, 1992
- The role of microscopic anisotropy in the macroscopic behavior of a phase boundaryAnnals of Physics, 1986
- An analysis of a phase field model of a free boundaryArchive for Rational Mechanics and Analysis, 1986
- Diffuse interface model of diffusion-limited crystal growthPhysical Review B, 1985
- Free dendritic growthMaterials Science and Engineering, 1984