Abstract
We study the dynamics of phase ordering in the presence of an external “gravitational” field, namely a field that varies linearly with distance in one direction. Starting from microscopic considerations, we motivate reasonable phenomenological models for cases with nonconserved and conserved order parameter. We present detailed numerical results from our model for the case with conserved order parameter.
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J. D. Gunton, M. San Miguel, and P. S. Sahni, inPhase Transitions and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1983), p. 267; H. Furukawa,Adv. Phys. 34:703 (1985); K. Binder, inPhase Transformations of Materials, P. Haasen, ed. (VCH, Weinheim, 1991); S. Komura and H. Furukawa, eds.,Dynamics of Ordering Processes in Condensed Matter (Plenum Press, New York, 1988).
K. Kitahara, Y. Oono, and D. Jasnow,Mod. Phys. Lett. B 2:765 (1988); C. Yeung, T. Rogers, A. H. Machado, and D. Jasnow,J. Stat. Phys. 66:1071 (1992); A. M. Lacosta, A. H. Machado, and J. M. Sancho, Universitat de Barcelona preprint.
S. Puri, K. Binder, and S. Dattagupta,Phys. Rev. B 46:98 (1992).
K. Binder,Z. Phys. B 267:313 (1974).
K. Binder and H. L. Frisch,Z. Phys. B 84:403 (1991); S. Puri and K. Binder,Phys. Rev. A 46:R4487 (1992); S. Puri and H. L. Frisch,J. Chem. Phys., to appear; S. Puri and K. Binder,Phys. Rev. E, to appear.
K.-T. Leung,J. Stat. Phys. 50:405 (1988); A. H. Machado, H. Guo, J. L. Mozos, and D. Jasnow,Phys. Rev. A 39:4783 (1989); J. L. Valles, K.-T. Leung, and R. K. P. Zia,J. Stat. Phys. 56:43 (1989).
J. S. Langer, N. Bar-On, and H. D. Miller,Phys. Rev. A 11:1417 (1975); K. Kitahara and M. Imada,Prog. Theor. Phys. Suppl. 64:65 (1978); J.-F. Gouyet,Europhys. Lett. 21:335 (1993).
D. H. Boal, B. Schmittmann, and R. K. P. Zia,Phys. Rev. A 43:5214 (1991).
K. Binder and D. Stauffer,Phys. Rev. Lett. 33:1006 (1974);Z. Phys. B 24:407 (1976).
A. Chakrabarti, R. Toral, and J. D. Gunton,Phys. Rev. B 39:4386 (1989).
D. Beysens, P. Guenoun, and F. Perrot,Phys. Rev. A 38:4173 (1988); K.-W. To and C.-K. Chan,Europhys. Lett. 19:311 (1992); F. Cau and S. Lacelle,Phys. Rev. E 47:1429 (1993).
P. C. Hohenberg and B. I. Halperin,Rev. Mod. Phys. 49:435 (1977), and references therein.
T. Koga and K. Kawasaki,Phys. Rev. A 44:R817 (1991); S. Puri and B. Bunweg,Phys. Rev. A 45:R6977 (1992); A. Shinozaki and Y. Oono,Phys. Rev. E 48:2622 (1993).
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Puri, S., Parekh, N. & Dattagupta, S. Phase ordering dynamics in a gravitational field. J Stat Phys 75, 839–857 (1994). https://doi.org/10.1007/BF02186746
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DOI: https://doi.org/10.1007/BF02186746