This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
K. A. Jackson and J. D. Hunt, Acta Metall. 13:1215 (1965).
F. Heslot and A. Libchaber, Phys. Scr. T9:126 (1985).
P. G. Saffman and G. I. Taylor, Proc. Roy. Soc. (London) A245:312 (1958).
P. Tabeling and A. Libchaber, Phys. Rev. A33:794 (1986).
S. C. Huang and M. E. Glicksman, Acta Metall. 29:701 (1981); 29:717 (1981).
J. S. Langer, Rev. Mod. Phys. 52:1 (1980).
See, e.g., D. Kessler, J. Koplik and H. Levine, Phys. Rev. A30:3161 (1984); E. Ben-Jacob, N. Goldenfeld, B. G. Kotliar and J. S. Langer, Phys. Rev. Lett. 53:2110 (1984).
S. K. Sarkar and D. Jasnow, Phys. Rev. A35:4900 (1987).
A. Karma, Phys. Rev. Lett. 57:858 (1986).
T. Dombre and V. Hakim, Phys. Rev. A36:2811 (1987).
M. Ben-Amar and B. Moussallam, Phys. Rev. Lett. 60:317 (1988).
D. A. Kessler and H. Levine, U.C.S.D. preprint (1988).
T. A. Witten and L. M. Sander, Phys. Rev. Lett. 47:1400 (1981).
T. A. Witten and L. M. Sander, Phys. Rev. B27:5685 (1983).
See, e.g.,articles in Kinetics of Aggregation and Gelation, edited by F. Family and D. P. Landau (North Holland, New York, 1984).
D. Bensimon, L. P. Kadanoff, S. Liang, B. Schraiman and C. Tang, Rev. Mod. Phys. 58:977 (1986).
T. Vicsek, Phys. Rev. Lett. 53:2281 (1984).
L. A. Turkevich and H. Scher, Phys. Rev. Lett. 55:1026 (1985).
W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 34:323 (1963); 35:444(1964).
L. P. Kadanoff, J. Stat. Phys. 39:267 (1985).
See, e.g., J. Marro, J. L. Lebowitz and M. H. Kalos, Phys. Rev. Lett. 43:282 (1979); J. L. Lebowitz, J. Marro and M. H. Kalos, Acta Metall. 30:297 (1982); for additional background and references see J. D. Gunton, M. San Miguel and P. S. Sahni in Phase Transitions and Critical Phenomena, ed. by C. Domb and J. L. Lebowitz (Academic, New York, 1983)v.8.
For an interesting new approach and a thorough discussion of background and references, the reader is referred to the work of Y. Oono and S. Puri, Phys. Rev. A (in press).
Previous accounts have appeared in H. Guo and D. Jasnow, Phys. Rev. 34:5027 (1986).
D. Jasnow, Superlattices and Microstructures 3:581 (1987).
J. S. Langer and L. Turski, Acta Metall. 25:267 (1977).
D. Jasnow, D. A. Nicole and T. Ohta, Phys. Rev. A23:3192 (1981).
A. Onuki, K.P. Sekimoto and D. Jasnow, Prog. Theor. Phys. 74:685 (1985).
A brief discussion of roughening with references is contained in D. Jasnow, Rept. Prog. Phys. 47:1059 (1984).
K. Kawasaki, Phys. Rev. 145:224 (1966).
See, e.g., A. B. Bortz, M. H. Kalos, J. L. Lebowitz and M. A. Zendejas, Phys. Rev. B10:535 (1974); A. Sadiq, Phys. Rev. b(:2299 (1974); additional references may be found in K. W. Kehr and K. Binder in Applications of the Monte Carlo Method in Statistical Physics, ed. K. Binder (Springer-Verlag, New York, 1984).
S. Katz, J. L. Lebowitz and H. Spohn, J. Stat. Phys. 34:323 (1984); 38:725 (1985).
A. Hernandez-Machado and D. Jasnow, Phys. Rev. 37:656 (1988).
For a review of hyperscaling in critical phenomena see, e.g., M. E. Fisher in Lecture Notes in Physics Vol. 186, Critical Phenomena, (ed. F. J. W. Hahne, Springer-Verlag, N. Y., 1983).
K. Leung and J. L. Cardy, J. Stat. Phys. 44:567 (1986).
J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28:258 (1958).
See, e. g., D. B. Abrahamand P. Reed, J. Phys. A10:L121 (1977); K.K. Mon and D. Jasnow, Phys. Rev. A31:4008 (1985); J. Stat. Phys. 41:273 (1985).
M. P. A. Fisher, D. S. Fisher and J. D. Weeks, Phys. Rev. Lett. 48:368 (1982).
J. B. Collins and H. Levine, Phys. Rev. B31:6119 (1985).
E. Ben-Jacob, N. Goldenfeld, J. S. Langer and G. Schon, Phys. Rev. Lett. 51:1930 (1983).
G. Caginalp, Phys. Rev. B (in press); University of Pittsburgh preprint (1988).
K. Kitahara, Y. Oono and D. Jasnow, Mod. Phys. Lett. B (in press).
Y. Oono and S. Puri, Phys. Rev. Lett. 58:836 (1987).
A. Hernandez-Machado, unpublished.
J. S. Langer, N. Bar-On and H. D. Miller, Phys. Rev. A11:1417 (1975).
L. M. Sander, P. Ramanial and E. Ben-Jacob, Phys. Rev. A32:3160 (1985)
S. Sarkar, unpublished.
H. Guo, unpublished.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Jasnow, D. (1988). Scaling for an interfacial instability. In: Garrido, L. (eds) Far from Equilibrium Phase Transitions. Lecture Notes in Physics, vol 319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50643-8_44
Download citation
DOI: https://doi.org/10.1007/3-540-50643-8_44
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50643-0
Online ISBN: 978-3-540-46060-2
eBook Packages: Springer Book Archive