Diffusion-controlled growth of a solid cylinder into its undercoded melt: Instabilities and pattern formation studied with the phase-field model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 3, 1997, Pages 3087-3091

  Conti, M ^a   Marinozzi, F ^a   Marini Bettolo Marconi, U ^a  

^a UNIVERSITY OF CAMERINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644249724     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.3087     Document Type: Article

References (15)

1. J S. Langer, Rev. Mod. Phys.52, 1 (1980).
2. D A. Kessler, J. Koplik and H. Levine, Adv. Phys.37, 225 (1988).
3. E A. Brener and V. I. Mel'nikov, Adv. Phys.40, 53 (1991).
4. W W. Mullins and R F. Sekerka, J. Appl. Phys.34, 323 (1963).
5. W W. Mullins and R F. Sekerka, J. Appl. Phys.35, 444 (1964).
6. E. Brener, T. Ihle, H. Muller-Krumbhaar, Y. Saito and K. Shiraishi, Physica A204, 96 (1994).
7. J S. Langer, in Directions in Condensed Matter Physics, edited by G. Grinstein and G. Mazenko (World Scientific, Singapore, 1986).
8. G. Caginalp, in Applications of Field Theory to Statistical Mechanics, edited by L. Garrido (Springer-Verlag, Berlin, 1984).
9. G. Caginalp, Phys. Rev. A39, 5887 (1989).
10. D W. Oxtoby and D J. Haymet, J. Chem. Phys.76, 6262 (1982).
11. A A. Wheeler, W J. Boettinger and G B. McFadden, Phys. Rev. A45, 7424 (1992).
12. O. Penrose and P C. Fife, Physica D43, 44 (1990).
13. S L. Wang, R F. Sekerka, A A. Wheeler, B T. Murray, S R. Coriell, R J. Braun and G B. McFadden, Physica D69, 189 (1993).
14. A A. Wheeler, B T. Murray and R J. Schaefer, Physica D66, 243 (1993).
15. F. Marinozzi, M. Conti and U. Marini Bettolo Marconi, Phys. Rev. E53, 5039 (1996).