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Volumn 459, Issue 2038, 2003, Pages 2575-2598

The effect of anisotropic surface energy on the Rayleigh instability

Author keywords

Anisotropic surface energy; Cahn Hoffman vector; Nanorods; Quantum wires; Rayleigh instability

Indexed keywords

ANALYTIC METHOD; ANISOTROPY; ARTICLE; FORCE; MOLECULAR MECHANICS; MOLECULAR STABILITY; QUANTUM MECHANICS;

EID: 1542722162     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1144     Document Type: Article
Times cited : (50)

References (54)
  • 5
    • 0008039167 scopus 로고
    • Capillary instabilities in deep cells during directional solidification
    • Brattkus, K. 1989 Capillary instabilities in deep cells during directional solidification. J. Phys. Paris 50, 2999-3006.
    • (1989) J. Phys. Paris , vol.50 , pp. 2999-3006
    • Brattkus, K.1
  • 6
    • 0018547875 scopus 로고
    • Stability of rods with anisotropic surface free energy
    • Cahn, J. W. 1979 Stability of rods with anisotropic surface free energy. Scr. Metall. 13, 1069-1071.
    • (1979) Scr. Metall. , vol.13 , pp. 1069-1071
    • Cahn, J.W.1
  • 7
    • 0016118199 scopus 로고
    • A vector thermodynamics for anisotropic interfaces. II. Curved and faceted surfaces
    • Cahn, J. W. & Hoffman, D. W. 1974 A vector thermodynamics for anisotropic interfaces. II. Curved and faceted surfaces. Acta Metall. 22, 1205-1214.
    • (1974) Acta Metall. , vol.22 , pp. 1205-1214
    • Cahn, J.W.1    Hoffman, D.W.2
  • 10
    • 0035915293 scopus 로고    scopus 로고
    • Epitaxial growth of erbium silicide nanowires on silicon(001)
    • Chen, Y., Ohlberg, D. A. A. & Williams, R. S. 2001 Epitaxial growth of erbium silicide nanowires on silicon(001). Mater. Sci. Engng B 87, 222-226.
    • (2001) Mater. Sci. Engng B , vol.87 , pp. 222-226
    • Chen, Y.1    Ohlberg, D.A.A.2    Williams, R.S.3
  • 12
    • 0003025636 scopus 로고    scopus 로고
    • Anisotropic microstructure-induced reduction of the Rayleigh instability for liquid crystalline polymers
    • Forest, M. G. & Wang, Q. 1998 Anisotropic microstructure-induced reduction of the Rayleigh instability for liquid crystalline polymers. Phys. Lett. A 245, 518-526.
    • (1998) Phys. Lett. A , vol.245 , pp. 518-526
    • Forest, M.G.1    Wang, Q.2
  • 13
    • 0032167161 scopus 로고    scopus 로고
    • Synthesis, structure, and superconducting properties of tantalum carbide nanorods and nanoparticles
    • Fukunaga, A., Chu, S. & McHenry, M. E. 1998 Synthesis, structure, and superconducting properties of tantalum carbide nanorods and nanoparticles. J. Mater. Res. 13, 2465-2471.
    • (1998) J. Mater. Res. , vol.13 , pp. 2465-2471
    • Fukunaga, A.1    Chu, S.2    McHenry, M.E.3
  • 14
    • 0024766032 scopus 로고
    • Effects of crystal-melt energy anisotropy on dendritic morphology and growth kinetics
    • Glicksman, M. E. & Singh, N. B. 1989 Effects of crystal-melt energy anisotropy on dendritic morphology and growth kinetics. J. Cryst. Growth 98, 277-284.
    • (1989) J. Cryst. Growth , vol.98 , pp. 277-284
    • Glicksman, M.E.1    Singh, N.B.2
  • 15
    • 0001087994 scopus 로고    scopus 로고
    • A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
    • Golovin, A. A., Davis, S. H. & Nepomnyashchy, A. A. 1998 A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth. Physica D 122, 202-230.
    • (1998) Physica D , vol.122 , pp. 202-230
    • Golovin, A.A.1    Davis, S.H.2    Nepomnyashchy, A.A.3
  • 17
    • 0002431632 scopus 로고
    • Surface tension as a motivation for sintering
    • ed. W. E. Kingston, McGraw-Hill
    • Herring, C. 1951 Surface tension as a motivation for sintering. In The physics of powder metallurgy (ed. W. E. Kingston), pp. 143-179. McGraw-Hill.
    • (1951) The Physics of Powder Metallurgy , pp. 143-179
    • Herring, C.1
  • 18
    • 0002358415 scopus 로고
    • The use of classical macroscopic concepts in surface-energy problems
    • ed. R. Gomer & C. S. Smith, University of Chicago Press
    • Herring, C. 1953 The use of classical macroscopic concepts in surface-energy problems. In Structure and properties of solid surfaces (ed. R. Gomer & C. S. Smith), pp. 5-72. University of Chicago Press.
    • (1953) Structure and Properties of Solid Surfaces , pp. 5-72
    • Herring, C.1
  • 19
    • 0001099885 scopus 로고
    • A vector thermodynamics for anisotropic interfaces. I. Fundamentals and applications to plane surface junctions
    • Hoffman, D. W. & Cahn, J. W. 1972 A vector thermodynamics for anisotropic interfaces. I. Fundamentals and applications to plane surface junctions. Surf. Sci. 31, 368-388.
    • (1972) Surf. Sci. , vol.31 , pp. 368-388
    • Hoffman, D.W.1    Cahn, W.J.2
  • 20
    • 0035424033 scopus 로고    scopus 로고
    • Electrospinning and electrically forced jets. I. Stability theory
    • Hohman, M. M., Shin, M., Rutledge, G. & Brenner, M. P. 2001 Electrospinning and electrically forced jets. I. Stability theory. Phys. Fluids 13, 2201-2220.
    • (2001) Phys. Fluids , vol.13 , pp. 2201-2220
    • Hohman, M.M.1    Shin, M.2    Rutledge, G.3    Brenner, M.P.4
  • 21
    • 0035844532 scopus 로고    scopus 로고
    • Method for computing the anisotropy of the solid-liquid interfacial free energy
    • Hoyt, J. J., Asta, M. & Karma, A. 2001 Method for computing the anisotropy of the solid-liquid interfacial free energy. Phys. Rev. Lett. 86, 5530-5533.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5530-5533
    • Hoyt, J.J.1    Asta, M.2    Karma, A.3
  • 22
    • 0041841995 scopus 로고
    • On the proof and uniqueness of Wulff's construction of the shape of minimum surface energy
    • Johnson, C. A. & Chakerian, G. D. 1965 On the proof and uniqueness of Wulff's construction of the shape of minimum surface energy. J. Math. Phys. 6, 1403-1404.
    • (1965) J. Math. Phys. , vol.6 , pp. 1403-1404
    • Johnson, C.A.1    Chakerian, G.D.2
  • 23
    • 0035590470 scopus 로고    scopus 로고
    • Quantum suppression of the Rayleigh instability in nanowires
    • Kassubek, F., Stafford, C. A., Grabert, H. & Goldstein, R. E. 2001 Quantum suppression of the Rayleigh instability in nanowires. Nonlinearity 14, 167-177.
    • (2001) Nonlinearity , vol.14 , pp. 167-177
    • Kassubek, F.1    Stafford, C.A.2    Grabert, H.3    Goldstein, R.E.4
  • 24
    • 0342888934 scopus 로고
    • Growth velocity of three-dimensional dendritic crystals
    • Kessler, D. A. & Levine, H. 1987 Growth velocity of three-dimensional dendritic crystals. Phys. Rev. A 36, 4123-4126.
    • (1987) Phys. Rev. A , vol.36 , pp. 4123-4126
    • Kessler, D.A.1    Levine, H.2
  • 25
    • 0024089809 scopus 로고
    • Pattern selection in three dimensional dendritic growth
    • Kessler, D. A. & Levine, H. 1988 Pattern selection in three dimensional dendritic growth. Acta Metall. 36, 2693-2706.
    • (1988) Acta Metall. , vol.36 , pp. 2693-2706
    • Kessler, D.A.1    Levine, H.2
  • 26
    • 0000520512 scopus 로고    scopus 로고
    • Gold nanobridge stabilized by surface structure
    • Kondo, Y. & Takayanagi, K. 1997 Gold nanobridge stabilized by surface structure. Phys. Rev. Lett. 79, 3455-3458.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3455-3458
    • Kondo, Y.1    Takayanagi, K.2
  • 28
    • 0030837095 scopus 로고    scopus 로고
    • Stability of slender liquid bridges subjected to axial flows
    • Lowry, B. J. & Steen, P. H. 1997 Stability of slender liquid bridges subjected to axial flows. J. Fluid Mech. 330, 189-213.
    • (1997) J. Fluid Mech. , vol.330 , pp. 189-213
    • Lowry, B.J.1    Steen, P.H.2
  • 30
    • 1542561231 scopus 로고
    • Effect of surface tension anisotropy on cellular morphologies
    • McFadden, G. B., Coriell, S. R. & Sekerka, R. F. 1988 Effect of surface tension anisotropy on cellular morphologies. J. Cryst. Growth 91, 180-198.
    • (1988) J. Cryst. Growth , vol.91 , pp. 180-198
    • McFadden, G.B.1    Coriell, S.R.2    Sekerka, R.F.3
  • 31
    • 1542666132 scopus 로고
    • The Rayleigh instability for a cylindrical crystal-melt interface
    • ed. A. Friedman & J. Spruck. IMA Series in Mathematics and its Applications, Springer
    • McFadden, G. B., Coriell, S. R. & Murray, B. T. 1993 The Rayleigh instability for a cylindrical crystal-melt interface. In Variational and free boundary problems (ed. A. Friedman & J. Spruck). IMA Series in Mathematics and its Applications, vol. 53, pp. 159-169. Springer.
    • (1993) Variational and Free Boundary Problems , vol.53 , pp. 159-169
    • McFadden, G.B.1    Coriell, S.R.2    Murray, B.T.3
  • 32
    • 0034226406 scopus 로고    scopus 로고
    • Effect of surface free energy anisotropy on dendrite tip shape
    • McFadden, G. B., Coriell, S. R. & Sekerka, R. F. 2000 Effect of surface free energy anisotropy on dendrite tip shape. Acta Mater. 48, 3177-3181.
    • (2000) Acta Mater. , vol.48 , pp. 3177-3181
    • McFadden, G.B.1    Coriell, S.R.2    Sekerka, R.F.3
  • 33
    • 0030189842 scopus 로고    scopus 로고
    • The Rayleigh instability and the origin of rows of droplets in the monotectic microstructure of zinc-bismuth alloys
    • Majumdar, B. & Chattopadhyay, K. 1996 The Rayleigh instability and the origin of rows of droplets in the monotectic microstructure of zinc-bismuth alloys. Metall. Mater. Trans. A 27, 2053-2057.
    • (1996) Metall. Mater. Trans. A , vol.27 , pp. 2053-2057
    • Majumdar, B.1    Chattopadhyay, K.2
  • 34
    • 0040250416 scopus 로고
    • A model for capillary-induced instabilities in directionally solidified eutectic alloys
    • ed. J. L. Walter, M. F. Gigliotti, B. F. Oliver & H. Bibring, Lexington, MA: Ginn Custom Publishing
    • Marinis, T. F. & Sekerka, R. F. 1979 A model for capillary-induced instabilities in directionally solidified eutectic alloys. In Proc. Conf. on In Situ Composites III, Materials Research Society Annual Meeting, Boston, MA, November 1978 (ed. J. L. Walter, M. F. Gigliotti, B. F. Oliver & H. Bibring), pp. 86-94. Lexington, MA: Ginn Custom Publishing.
    • (1979) Proc. Conf. on in Situ Composites III, Materials Research Society Annual Meeting, Boston, MA, November 1978 , pp. 86-94
    • Marinis, T.F.1    Sekerka, R.F.2
  • 35
    • 0035251645 scopus 로고    scopus 로고
    • String Formation in sheared polymer blends: Coalescence, breakup, and finite size effects
    • Migler, K. B. 2001 String Formation in sheared polymer blends: coalescence, breakup, and finite size effects. Phys. Rev. Lett. 86, 1023-1026.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1023-1026
    • Migler, K.B.1
  • 36
    • 0002403126 scopus 로고
    • Solid surface morphologies governed by capillarity
    • Metals Park, OH: American Society of Metals
    • Mullins, W. W. 1963 Solid surface morphologies governed by capillarity. In Metal surfaces: structure, energetics, and kinetics, pp. 17-66. Metals Park, OH: American Society of Metals.
    • (1963) Metal Surfaces: Structure, Energetics, and Kinetics , pp. 17-66
    • Mullins, W.W.1
  • 37
    • 36849118851 scopus 로고
    • Morphological changes of a surface of revolution due to capillary-induced surface diffusion
    • Nichols, F. A. & Mullins, W. W. 1965 Morphological changes of a surface of revolution due to capillary-induced surface diffusion. J. Appl. Phys. 36, 1826-1835.
    • (1965) J. Appl. Phys. , vol.36 , pp. 1826-1835
    • Nichols, F.A.1    Mullins, W.W.2
  • 38
    • 0036642164 scopus 로고    scopus 로고
    • Experimental measurement of anisotropy in crystal-melt interfacial energy
    • Napolitano, R. E., Liu, S. & Trivedi, R. 2002 Experimental measurement of anisotropy in crystal-melt interfacial energy. Interface Sci. 10, 217-232.
    • (2002) Interface Sci. , vol.10 , pp. 217-232
    • Napolitano, R.E.1    Liu, S.2    Trivedi, R.3
  • 40
    • 0017574312 scopus 로고
    • Satellite droplet formation in a liquid jet
    • Pimbley, W. T. & Lee, H. C. 1977 Satellite droplet formation in a liquid jet. IBM J. Res. Develop. 21, 21-30.
    • (1977) IBM J. Res. Develop. , vol.21 , pp. 21-30
    • Pimbley, W.T.1    Lee, H.C.2
  • 41
    • 33645465754 scopus 로고
    • Experimental and theoretical researches on the figures of equilibrium of a liquid mass
    • Transl.
    • Plateau, J. 1873 Experimental and theoretical researches on the figures of equilibrium of a liquid mass. (Transl. Annual Reports of the Smithsonian Institution, 1863-1866.)
    • (1873) Annual Reports of the Smithsonian Institution, 1863-1866
    • Plateau, J.1
  • 42
    • 45749106469 scopus 로고
    • On the instabilities of jets
    • Rayleigh, Lord 1878 On the instabilities of jets. Proc. Lond. Math. Soc. 10, 4-13.
    • (1878) Proc. Lond. Math. Soc. , vol.10 , pp. 4-13
    • Rayleigh, L.1
  • 43
    • 18844399254 scopus 로고
    • Statistical mechanics of equilibrium crystal shapes: Interfacial phase diagrams and phase transitions
    • Rottman, C. & Wortis, M. 1984 Statistical mechanics of equilibrium crystal shapes: interfacial phase diagrams and phase transitions. Phys. Rep. 103, 59-79.
    • (1984) Phys. Rep. , vol.103 , pp. 59-79
    • Rottman, C.1    Wortis, M.2
  • 44
    • 0000976849 scopus 로고    scopus 로고
    • Bifurcation of the equilibrium states of a weightless liquid bridge
    • Slobozhanin, L. A., Alexander, J. I. D. & Resnick, A. H. 1997 Bifurcation of the equilibrium states of a weightless liquid bridge. Phys. Fluids 9, 1893-1905.
    • (1997) Phys. Fluids , vol.9 , pp. 1893-1905
    • Slobozhanin, L.A.1    Alexander, J.I.D.2    Resnick, A.H.3
  • 48
    • 0000180414 scopus 로고
    • The formation of emulsions in definable fields of flow
    • Taylor, G. I. 1934 The formation of emulsions in definable fields of flow. Proc. R. Soc. Lond. A 146, 501-533.
    • (1934) Proc. R. Soc. Lond. A , vol.146 , pp. 501-533
    • Taylor, G.I.1
  • 49
    • 0026899706 scopus 로고
    • Mean curvature and weighted mean curvature
    • Taylor, J. E. 1992 Mean curvature and weighted mean curvature. Acta Metall. Mater. 40, 1475-1485.
    • (1992) Acta Metall. Mater. , vol.40 , pp. 1475-1485
    • Taylor, J.E.1
  • 50
    • 0001672530 scopus 로고
    • Breaking up of a drop of viscous liquid immersed in another viscous fluid which is extending at a uniform rate
    • Tomotika, S. 1936 Breaking up of a drop of viscous liquid immersed in another viscous fluid which is extending at a uniform rate. Proc. R. Soc. Lond. A 153, 322-318.
    • (1936) Proc. R. Soc. Lond. A , vol.153 , pp. 322-1318
    • Tomotika, S.1
  • 52
    • 0001490797 scopus 로고
    • The effect of anisotropic crystal-melt surface tension on grain boundary groove morphology
    • Voorhees, P. W., Coriell, S. R., McFadden, G. B. & Sekerka, R. F. 1984 The effect of anisotropic crystal-melt surface tension on grain boundary groove morphology. J. Cryst. Growth 67, 425-440.
    • (1984) J. Cryst. Growth , vol.67 , pp. 425-440
    • Voorhees, P.W.1    Coriell, S.R.2    McFadden, G.B.3    Sekerka, R.F.4
  • 54
    • 0000390634 scopus 로고
    • Sensitivity of liquid bridges subject to axial residual acceleration
    • Zhang, Y. Q. & Alexander, J. I. D. 1990 Sensitivity of liquid bridges subject to axial residual acceleration. Phys. Fluids A 11, 1966-1974.
    • (1990) Phys. Fluids A , vol.11 , pp. 1966-1974
    • Zhang, Y.Q.1    Alexander, J.I.D.2


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