메뉴 건너뛰기




Volumn 355, Issue 1730, 1997, Pages 1787-1833

Anisotropy of interfaces in an ordered alloy: A multiple-order-parameter model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3042865182     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0091     Document Type: Article
Times cited : (62)

References (66)
  • 1
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
    • Allen, S. M. & Cahn, J. W. 1979 A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall. Mater. 27, 1085-1095.
    • (1979) Acta Metall. Mater. , vol.27 , pp. 1085-1095
    • Allen, S.M.1    Cahn, J.W.2
  • 2
    • 0023997270 scopus 로고
    • Thermodynamic modeling of ordered phases in the Ni-Al system
    • Ansara, L., Sundman, B. & Wilemin, P. 1988 Thermodynamic modeling of ordered phases in the Ni-Al system. Acta Metall. Mater. 36, 977-982.
    • (1988) Acta Metall. Mater. , vol.36 , pp. 977-982
    • Ansara, L.1    Sundman, B.2    Wilemin, P.3
  • 3
    • 0003154080 scopus 로고
    • A new basis implementation for a mixed order boundary value ODE solver
    • Bader, G. & Ascher, U. 1987 A new basis implementation for a mixed order boundary value ODE solver. SIAM J. Sci. Stat. Comput. 8, 483-500.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 483-500
    • Bader, G.1    Ascher, U.2
  • 4
    • 0004687781 scopus 로고    scopus 로고
    • Anisotropie interfaces and ordering in FCC alloys: A multiple-order-parameter continuum theory
    • (ed. L.-Q. Chen et al.), Cleveland, OH: SIAM/TMS
    • Braun, R. J., Cahn, J. W., Hagedorn, J., McFadden, G. B. & Wheeler, A. A. 1996 Anisotropie interfaces and ordering in FCC alloys: a multiple-order-parameter continuum theory. In Mathematics of microstructure evolution (ed. L.-Q. Chen et al.), pp. 225-244. Cleveland, OH: SIAM/TMS.
    • (1996) Mathematics of Microstructure Evolution , pp. 225-244
    • Braun, R.J.1    Cahn, J.W.2    Hagedorn, J.3    McFadden, G.B.4    Wheeler, A.A.5
  • 6
    • 0001299959 scopus 로고
    • Phase-field and sharp-interface alloy models
    • Caginalp, G. & Xie, W. 1993 Phase-field and sharp-interface alloy models. Phys. Rev. E 48, 1897-1909.
    • (1993) Phys. Rev. E , vol.48 , pp. 1897-1909
    • Caginalp, G.1    Xie, W.2
  • 7
    • 43449102981 scopus 로고
    • On spinodal decomposition
    • Cahn, J. W. 1961 On spinodal decomposition. Acta Metall. 9, 795-801.
    • (1961) Acta Metall. , vol.9 , pp. 795-801
    • Cahn, J.W.1
  • 8
    • 0002506973 scopus 로고
    • Thermodynamics of solidification
    • Metals Park, OH: American Society of Metals
    • Cahn, J. W. 1971 Thermodynamics of solidification. In ASM Seminar series on solidification, pp. 23-58. Metals Park, OH: American Society of Metals.
    • (1971) ASM Seminar Series on Solidification , pp. 23-58
    • Cahn, J.W.1
  • 9
    • 2342581048 scopus 로고
    • Critical point wetting
    • Cahn, J. W. 1977 Critical point wetting. J. Chem. Phys. 66, 3667-3672.
    • (1977) J. Chem. Phys. , vol.66 , pp. 3667-3672
    • Cahn, J.W.1
  • 10
    • 0001924513 scopus 로고
    • A microscopic theory for domain wall motion and its experimental verification in Fe-Al alloy domain growth kinetics
    • Cahn, J. W. & Allen, S. M. 1977 A microscopic theory for domain wall motion and its experimental verification in Fe-Al alloy domain growth kinetics. J. Physique Colloque, C7 51-54.
    • (1977) J. Physique Colloque, C7 , pp. 51-54
    • Cahn, J.W.1    Allen, S.M.2
  • 11
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system. I. Interfacial free energy
    • Cahn, J. W. & Hilliard, J. E. 1958 Free energy of a nonuniform system. I. Interfacial free energy. J. Chem. Phys. 28, 258-267.
    • (1958) J. Chem. Phys. , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 12
    • 0016118199 scopus 로고
    • A vector thermodynamics for anisotropic surfaces. II. Curved and facetted surfaces
    • Cahn, J. W. & Hoffman, D. W. 1974 A vector thermodynamics for anisotropic surfaces. II. Curved and facetted surfaces. Acta Metall. Mater. 22, 1205-1214.
    • (1974) Acta Metall. Mater. , vol.22 , pp. 1205-1214
    • Cahn, J.W.1    Hoffman, D.W.2
  • 13
    • 0000226887 scopus 로고
    • Transition layer in a lattice-gas model of a solid-liquid interface
    • Cahn, J. W. & Kikuchi, R. 1985 Transition layer in a lattice-gas model of a solid-liquid interface. Phys. Rev. B 31, 4300-4304.
    • (1985) Phys. Rev. B , vol.31 , pp. 4300-4304
    • Cahn, J.W.1    Kikuchi, R.2
  • 14
    • 21844511720 scopus 로고
    • Evolution equations for phase separation and ordering in binary alloys
    • Cahn, J. W. & Novick-Cohen, A. 1994 Evolution equations for phase separation and ordering in binary alloys. J. Stat. Phys. 76, 877-909.
    • (1994) J. Stat. Phys. , vol.76 , pp. 877-909
    • Cahn, J.W.1    Novick-Cohen, A.2
  • 15
    • 0001382471 scopus 로고
    • Correlation functions of disordered binary alloys. I
    • Clapp, P. C. & Moss, S. C. 1966 Correlation functions of disordered binary alloys. I. Phys. Rev. 142, 418-427.
    • (1966) Phys. Rev. , vol.142 , pp. 418-427
    • Clapp, P.C.1    Moss, S.C.2
  • 16
    • 0001453547 scopus 로고
    • Correlation functions of disordered binary alloys. II
    • Clapp, P. C. & Moss, S. C. 1968 Correlation functions of disordered binary alloys. II. Phys. Rev. 171, 754-763.
    • (1968) Phys. Rev. , vol.171 , pp. 754-763
    • Clapp, P.C.1    Moss, S.C.2
  • 17
    • 21644440875 scopus 로고
    • Molecular dynamics of a laser-annealing experiment
    • Cleveland, C. L., Landman, U. & Barnett, R. N. 1982 Molecular dynamics of a laser-annealing experiment. Phys. Rev. Lett. 49, 790-793.
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 790-793
    • Cleveland, C.L.1    Landman, U.2    Barnett, R.N.3
  • 18
    • 0005728268 scopus 로고
    • Morphological stability
    • (ed. D. T. J. Hurle), Amsterdam: Elsevier-North Holland
    • Coriell, S. R. & McFadden, G. B. 1993 Morphological stability. In Handbook of crystal growth (ed. D. T. J. Hurle), pp. 785-857. Amsterdam: Elsevier-North Holland.
    • (1993) Handbook of Crystal Growth , pp. 785-857
    • Coriell, S.R.1    McFadden, G.B.2
  • 21
    • 0018446914 scopus 로고
    • The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids
    • Evans, R. 1979 The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids. Adv. Phys. 28, 143-200.
    • (1979) Adv. Phys. , vol.28 , pp. 143-200
    • Evans, R.1
  • 22
    • 0001996253 scopus 로고
    • Thermodynamical properties of antiphases in FCC ordered alloys
    • (ed. A. Yavari). New York: Elsevier
    • Finel, A. 1992 Thermodynamical properties of antiphases in FCC ordered alloys. In Ordering and disordering in alloys (ed. A. Yavari). New York: Elsevier.
    • (1992) Ordering and Disordering in Alloys
    • Finel, A.1
  • 23
    • 0000512804 scopus 로고
    • Theoretical study of antiphase boundaries in FCC alloys
    • Finel, A., Mazauric, V. & Ducastelle, F. 1990 Theoretical study of antiphase boundaries in FCC alloys. Phys. Rev. Lett. 65, 1016-1019.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1016-1019
    • Finel, A.1    Mazauric, V.2    Ducastelle, F.3
  • 25
    • 0016508181 scopus 로고
    • k-space symmetry rules for order-disorder reactions
    • Fontaine, D. de 1975 k-space symmetry rules for order-disorder reactions. Acta Metall. 23, 553-571.
    • (1975) Acta Metall. , vol.23 , pp. 553-571
    • De Fontaine, D.1
  • 26
    • 0006747517 scopus 로고
    • Cluster approach to order-disorder transformations in alloys
    • Fontaine, D. de 1994 Cluster approach to order-disorder transformations in alloys. Solid State Phys. 47, 33-176.
    • (1994) Solid State Phys. , vol.47 , pp. 33-176
    • De Fontaine, D.1
  • 27
    • 0001805554 scopus 로고
    • Geometrical thermodynamics of surfaces
    • ch. 1, Metals Park, OH: American Society of Metals
    • Frank, F. C. 1962 Geometrical thermodynamics of surfaces. In Metal Surfaces, ch. 1, pp. 1-15. Metals Park, OH: American Society of Metals.
    • (1962) Metal Surfaces , pp. 1-15
    • Frank, F.C.1
  • 28
    • 26544469625 scopus 로고
    • Dynamic solid-solid transitions with phase characterized by an order parameter
    • Fried, E. & Gurtin, M. E. 1994 Dynamic solid-solid transitions with phase characterized by an order parameter. Physica D 72, 287-308.
    • (1994) Physica D , vol.72 , pp. 287-308
    • Fried, E.1    Gurtin, M.E.2
  • 29
    • 0000774464 scopus 로고
    • The dendrite
    • (ed. D. T. J. Hurle), Amsterdam: North Holland
    • Glicksman, M. E. & Marsh, S. P. 1993 The dendrite. In Handbook of crystal growth (ed. D. T. J. Hurle), pp. 1077-1122. Amsterdam: North Holland.
    • (1993) Handbook of Crystal Growth , pp. 1077-1122
    • Glicksman, M.E.1    Marsh, S.P.2
  • 30
    • 36149008975 scopus 로고
    • Some theorems on the free energies of crystal surfaces
    • Herring, C. 1951 Some theorems on the free energies of crystal surfaces. Phys. Rev. 82, 87-93.
    • (1951) Phys. Rev. , vol.82 , pp. 87-93
    • Herring, C.1
  • 31
    • 0002151566 scopus 로고
    • Spinodal decomposition
    • (ed. H. I. Aaronson). Metals Park, OH: American Society of Metals
    • Hilliard, J. E. 1970 Spinodal decomposition. In Phase transformations (ed. H. I. Aaronson). Metals Park, OH: American Society of Metals.
    • (1970) Phase Transformations
    • Hilliard, J.E.1
  • 32
    • 0001099885 scopus 로고
    • A vector thermodynamics for anisotropic surfaces I. Fundamentals and application to plane surface junctions
    • Hoffman, D. W. & Cahn, J. W. 1972 A vector thermodynamics for anisotropic surfaces I. Fundamentals and application to plane surface junctions. Surf. Sci. 31, 368-388.
    • (1972) Surf. Sci. , vol.31 , pp. 368-388
    • Hoffman, D.W.1    Cahn, J.W.2
  • 33
    • 0020257087 scopus 로고
    • Symmetry constraints on the orientation dependence of interfacial properties: The group of the Wulff plot
    • Kalonji, G. & Cahn, J. W. 1982 Symmetry constraints on the orientation dependence of interfacial properties: the group of the Wulff plot. J. Phys. Coll. C6 43, 25-30.
    • (1982) J. Phys. Coll. C6 , vol.43 , pp. 25-30
    • Kalonji, G.1    Cahn, J.W.2
  • 34
    • 0024000989 scopus 로고
    • Pattern selection in fingered growth phenomena
    • Kessler, D. A., Koplik, J. & Levine, H. 1988 Pattern selection in fingered growth phenomena. Adv. Phys. 37, 255-339.
    • (1988) Adv. Phys. , vol.37 , pp. 255-339
    • Kessler, D.A.1    Koplik, J.2    Levine, H.3
  • 36
    • 36149021742 scopus 로고
    • A theory of cooperative phenomena
    • Kikuchi, R. 1951 A theory of cooperative phenomena. Phys. Rev. 81, 988-1003.
    • (1951) Phys. Rev. , vol.81 , pp. 988-1003
    • Kikuchi, R.1
  • 37
    • 0012037391 scopus 로고
    • Theory of domain walls in ordered structures. II. Pair approximation for nonzero temperatures
    • Kikuchi, R. & Cahn, J. W. 1962 Theory of domain walls in ordered structures. II. Pair approximation for nonzero temperatures. J. Phys. Chem. Solids 23, 137-151.
    • (1962) J. Phys. Chem. Solids , vol.23 , pp. 137-151
    • Kikuchi, R.1    Cahn, J.W.2
  • 38
    • 0018505362 scopus 로고
    • Theory of interphase and antiphase boundaries in FCC alloys
    • Kikuchi, R. & Cahn, J. W. 1979 Theory of interphase and antiphase boundaries in FCC alloys. Acta Metall. 27, 1337-1353.
    • (1979) Acta Metall. , vol.27 , pp. 1337-1353
    • Kikuchi, R.1    Cahn, J.W.2
  • 39
    • 34249817369 scopus 로고
    • Modeling and numerical simulations of dendritic crystal growth
    • Kobayashi, R. 1993 Modeling and numerical simulations of dendritic crystal growth. Physica D 63, 410-423.
    • (1993) Physica D , vol.63 , pp. 410-423
    • Kobayashi, R.1
  • 42
    • 0004056428 scopus 로고
    • Statistical physics, 3rd edn, part 1
    • New York: Pergamon
    • Landau, L. D. & Lifshitz, L. 1980. Statistical physics, 3rd edn, part 1. (Vol. 5 of Course of theoretical physics.) New York: Pergamon.
    • (1980) Course of Theoretical Physics , vol.5
    • Landau, L.D.1    Lifshitz, L.2
  • 43
    • 3042890109 scopus 로고
    • On the dynamics of epitaxial phase transformations
    • (ed. S. K. Sinha), Amsterdam: Elsevier-North Holland
    • Landman, U., Cleveland, C. L. & Brown, C. S. 1980 On the dynamics of epitaxial phase transformations. In Ordering in two dimensions (ed. S. K. Sinha), pp. 335-338. Amsterdam: Elsevier-North Holland.
    • (1980) Ordering in Two Dimensions , pp. 335-338
    • Landman, U.1    Cleveland, C.L.2    Brown, C.S.3
  • 45
    • 0009583681 scopus 로고
    • On the theory of phase transitions of the second order. II. Phase transitions of the second order in alloys
    • Lifshitz, E. M. 1942 On the theory of phase transitions of the second order. II. Phase transitions of the second order in alloys. Fiz. Zh. 7, 251-263.
    • (1942) Fiz. Zh. , vol.7 , pp. 251-263
    • Lifshitz, E.M.1
  • 46
    • 0038679626 scopus 로고
    • Melting, freezing, and colloidal suspensions
    • Löwen, H. 1994 Melting, freezing, and colloidal suspensions. Phys. Rep. 237, 249-324.
    • (1994) Phys. Rep. , vol.237 , pp. 249-324
    • Löwen, H.1
  • 48
    • 85020829999 scopus 로고
    • Preprint, Department of Mathematics, Williams College, Pennsylvania, USA
    • Morgan, F. 1995 Lowersemicontinuity of energy of clusters. Preprint, Department of Mathematics, Williams College, Pennsylvania, USA.
    • (1995) Lowersemicontinuity of Energy of Clusters
    • Morgan, F.1
  • 49
    • 36049054678 scopus 로고
    • Correlation functions of disordered binary alloys. III
    • Moss, S. C. & Clapp, P. C. 1968 Correlation functions of disordered binary alloys. III. Phys. Rev. 171, 764-777.
    • (1968) Phys. Rev. , vol.171 , pp. 764-777
    • Moss, S.C.1    Clapp, P.C.2
  • 51
    • 25844466969 scopus 로고
    • Order-disorder transformations in alloys
    • Nix, F. C. & Shockley, W. 1938 Order-disorder transformations in alloys. Rev. Mod. Phys. 10, 1-71.
    • (1938) Rev. Mod. Phys. , vol.10 , pp. 1-71
    • Nix, F.C.1    Shockley, W.2
  • 52
    • 0002775142 scopus 로고
    • Crystallization of liquids: A density functional approach
    • (ed. J. P. Hansen, D. Levesque & J. Zinn-Justin) (Les Houches, Session LI, 1989), Amsterdam: Elsevier
    • Oxtoby, D. W. 1991 Crystallization of liquids: a density functional approach. In Liquids, freezing and glass transition (ed. J. P. Hansen, D. Levesque & J. Zinn-Justin) (Les Houches, Session LI, 1989), pp. 147-191. Amsterdam: Elsevier.
    • (1991) Liquids, Freezing and Glass Transition , pp. 147-191
    • Oxtoby, D.W.1
  • 53
    • 0001407145 scopus 로고
    • On the theory of surface forces. II. Compressible fluids
    • Rayleigh, Lord 1892 On the theory of surface forces. II. Compressible fluids. Phil. Mag. 33, 209-220.
    • (1892) Phil. Mag. , vol.33 , pp. 209-220
    • Rayleigh, L.1
  • 54
    • 0007175892 scopus 로고
    • The non-linear interaction of a finite number of disturbances to a layer of fluid heated from below
    • Segel, L. A. 1965 The non-linear interaction of a finite number of disturbances to a layer of fluid heated from below. J. Fluid Mech. 21, 359-384.
    • (1965) J. Fluid Mech. , vol.21 , pp. 359-384
    • Segel, L.A.1
  • 56
    • 0000482727 scopus 로고
    • Vector-valued local minimizers of nonconvex variational problems
    • Sternberg, P. 1991 Vector-valued local minimizers of nonconvex variational problems. Rocky Mt. J. Math. 21, 799-807.
    • (1991) Rocky Mt. J. Math. , vol.21 , pp. 799-807
    • Sternberg, P.1
  • 57
    • 21844495223 scopus 로고
    • Linking anisotropic sharp and diffuse surface motion laws via gradient flows
    • Taylor, J. E. & Cahn, J. W. 1994 Linking anisotropic sharp and diffuse surface motion laws via gradient flows, J. Stat. Phys. 77, 183-197.
    • (1994) J. Stat. Phys. , vol.77 , pp. 183-197
    • Taylor, J.E.1    Cahn, J.W.2
  • 58
    • 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. Crystal Growth 67, 425-440.
    • (1984) J. Crystal Growth , vol.67 , pp. 425-440
    • Voorhees, P.W.1    Coriell, S.R.2    McFadden, G.B.3    Sekerka, R.F.4
  • 60
    • 0346310165 scopus 로고
    • Engl. Transl.
    • Waals, J. D. van der 1893 Verhandel. Konink. Akad. Waten. Amsterdam (§ 1) 1 (Engl. Transl. Rowlinson, J. S. 1979 J. Stat. Phys. 20, 197-244.)
    • (1979) J. Stat. Phys. , vol.20 , pp. 197-244
    • Rowlinson, J.S.1
  • 61
    • 0029254965 scopus 로고
    • Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method
    • Warren, J. A. & Boettinger, W. J. 1995 Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43, 689-703.
    • (1995) Acta Metall. Mater. , vol.43 , pp. 689-703
    • Warren, J.A.1    Boettinger, W.J.2
  • 62
    • 35949007087 scopus 로고
    • Phase-field model for isothermal phase transitions in binary alloys
    • Wheeler, A. A., Boettinger, W. J. & McFadden, G. B. 1992 Phase-field model for isothermal phase transitions in binary alloys. Phys. Rev. A 45, 7424-7439.
    • (1992) Phys. Rev. A , vol.45 , pp. 7424-7439
    • Wheeler, A.A.1    Boettinger, W.J.2    McFadden, G.B.3
  • 63
    • 33645061081 scopus 로고
    • Phase-field model of solute trapping during solidification
    • Wheeler, A. A., Boettinger, W. J. & McFadden, G. B. 1993a Phase-field model of solute trapping during solidification. Phys. Rev. E 47, 1893-1909.
    • (1993) Phys. Rev. E , vol.47 , pp. 1893-1909
    • Wheeler, A.A.1    Boettinger, W.J.2    McFadden, G.B.3
  • 64
    • 0000747861 scopus 로고    scopus 로고
    • A ζ-vector formulation of anisotropic phase-field models: 3D asymptotics
    • Wheeler, A. A. & McFadden, G. B. 1996 A ζ-vector formulation of anisotropic phase-field models: 3D asymptotics. Euro. J. Appl. Math. 7, 367-381.
    • (1996) Euro. J. Appl. Math. , vol.7 , pp. 367-381
    • Wheeler, A.A.1    McFadden, G.B.2
  • 65
    • 25744454700 scopus 로고
    • Computation of dendrites using a phase field model
    • Wheeler, A. A., Murray, B. T. & Schaefer, R. J. 1993b Computation of dendrites using a phase field model. Physica D 66, 243-262.
    • (1993) Physica D , vol.66 , pp. 243-262
    • Wheeler, A.A.1    Murray, B.T.2    Schaefer, R.J.3
  • 66
    • 36749105492 scopus 로고
    • Structure of the αγ interface
    • Widom, B. 1978 Structure of the αγ interface. J. Chem. Phys. 68, 3878-3883.
    • (1978) J. Chem. Phys. , vol.68 , pp. 3878-3883
    • Widom, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.