Heat diffusion anisotropy in dendritic growth: Phase field simulations and experiments in liquid crystals

Journal of Crystal Growth

Volumn 193, Issue 4, 1998, Pages 712-719

  Gonzalez Cinca R ^a   Ramirez Piscina L ^a   Casademunt, J ^b   Hernandez Machado A ^b   Toth Katona T ^c   Borzsonyi T ^c   Buka, A ^c  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITY OF BARCELONA   (Spain)

^c INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

Anisotropy; Dendrites; Interfacial instability; Liquid crystals; Phase field

Indexed keywords

ANISOTROPY; CRYSTAL GROWTH; MATHEMATICAL MODELS; PHASE INTERFACES; SOLIDIFICATION; THERMAL DIFFUSION IN LIQUIDS;

DENDRITIC GROWTH; PHASE FIELD SIMULATION;

LIQUID CRYSTALS;

EID: 0032475662     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0248(98)00505-3     Document Type: Article

References (21)

1. P. Pelcé (Ed.), Dynamics of curved fronts, Perspectives in Physics, Academic Press, New York, 1988.
2. C. Godrèche (Ed.), Solid far from Equilibrium, Cambridge University Press, Cambridge, 1992.
3. D.T.J. Hurle (Ed.), Handbook of Crystal Growth, vol. 1B, North-Holland, Amsterdam, 1993.
4. P.E. Cladis, P. Palffy-Muhoray (Eds.), Spatio Temporal Patterns, Santa Fe Institute Studies in the Science of Complexity, vol. XXI, Addison-Wesley, Reading, MA, 1994.
5. P.P. Trigueros, J. Claret, F. Mas, F. Sagués, J. Electroanal. Chem. 312 (1991) 219.
6. E. Ben-Jacob, P. Garik, Nature 343 (1990) 523.
7. J.S. Langer, in: J. Souletie, J. Vannimenus, R. Storra (Eds.), Lectures in the Theory of Pattern Formation, Chapter 10 in Chance and Matter (1986 Les Houches Lectures), North Holland, Amsterdam, 1987, pp. 629-711.
8. E.A. Brener, V.I. Melnikov, Adv. Phys. 40 (1991) 53.
9. F. Rondelez, W. Urbach, H. Hervet, Phys. Rev. Lett. 41 (1978) 1058.
10. U. Zammit, M. Marinelli, R. Pizzoferrato, F. Scudieri, S. Martellucci, Phys. Rev. A 41 (1990) 1153.
11. H. Hervet, F. Rondelez, W. Urbach, Transport properties in liquid crystals, in: S. Chandrasekhar (Ed.), Liquid Crystals, Heyden, London, 1980, p. 263.
12. G.J. Krüger, Phys. Rep. 82 (1982) 231.
13. R. Kobayashi, Physica D 63 (1993) 410.
14. A.A. Wheeler, B.T. Murray, R.J. Schaefer, Physica D 66 (1993) 243.
15. G.B. McFadden, A.A. Wheeler, R.J. Braun, S.R. Coriell, R.F. Sekerka, Phys. Rev. E 48 (1993) 2016.
16. S.-L. Wang, R.F. Sekerka, A.A. Wheeler, B.T. Murray, S.R. Coriell, R.J. Braun, G.B. McFadden, Physica D 69 (1993) 189.
17. R.J. Braun, G.B. McFadden, S.R. Coriell, Phys. Rev. E 49 (1994) 4336.
18. R. González-Cinca, L. Ramírez-Piscina, J. Casademunt, A. Hernández-Machado, L. Kramer, T. Tóth Katona, T. Börzsönyi, Á. Buka, Physica D 99 (1996) 359.
19. T. Tóth-Katona, T. Börzsönyi, Z. Váradi, J. Szabon, Á. Buka, R. González-Cinca, L. Ramírez-Piscina, J. Casademunt, A. Hernández-Machado, Phys. Rev. E 54 (1996) 1574.
20. A. Karma, W.J. Rappel, Phys. Rev. E 53 (1996) 3017.
21. Á. Buka, T. Tóth-Katona, L. Kramer, Phys. Rev. E 49 (1994) 5271.