메뉴 건너뛰기




Volumn 309, Issue 6, 2009, Pages 431-449

Exsolution by spinodal decomposition I: Evolution equation for binary mineral solutions with anisotropic interracial energy

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CHEMICAL COMPOUND; DECOMPOSITION; DIFFUSION; EXSOLUTION; MINERAL ALTERATION; NUMERICAL METHOD; PHASE TRANSITION; SCALE EFFECT;

EID: 68949104043     PISSN: 00029599     EISSN: None     Source Type: Journal    
DOI: 10.2475/06.2009.01     Document Type: Article
Times cited : (25)

References (40)
  • 1
    • 0035471163 scopus 로고    scopus 로고
    • An extended Cahn-Hilliard model for interfaces with cubic anisotropy
    • doi: 10.1080/01418610108217158
    • Abinandanan, T. A., and Haider, F., 2001, An extended Cahn-Hilliard model for interfaces with cubic anisotropy: Philosophical Magazine, v. 81, n. 10, p. 2457-2479, doi: 10.1080/01418610108217158.
    • (2001) Philosophical Magazine , vol.81 , Issue.10 , pp. 2457-2479
    • Abinandanan, T.A.1    Haider, F.2
  • 2
    • 0346076772 scopus 로고    scopus 로고
    • Stability of the one-dimensional kink solution to a general Cahn-Hilliard equation
    • doi:10.1103/PhysRevE.54.6102
    • Bettinson, B., and Rowlands, R., 1996, Stability of the one-dimensional kink solution to a general Cahn-Hilliard equation: Physics Review E, v. 54, n. 6, p. 6102-6108, doi:10.1103/PhysRevE.54.6102.
    • (1996) Physics Review E , vol.54 , Issue.6 , pp. 6102-6108
    • Bettinson, B.1    Rowlands, R.2
  • 3
    • 0011211008 scopus 로고
    • Kinetical modelling of exsolution textures in igneous pyroxenes
    • Brizi, E., and Mellini, M., 1992, Kinetical modelling of exsolution textures in igneous pyroxenes: Acta Vulcanologica, v. 2, p. 87-93.
    • (1992) Acta Vulcanologica , vol.2 , pp. 87-93
    • Brizi, E.1    Mellini, M.2
  • 4
    • 0021351788 scopus 로고
    • Exsolution and coarsening mechanisms and kinetics in an ordered cryptoperthite series
    • doi:10.1007/ BFÓ0373706
    • Brown, W. L., and Parsons, I., 1984, Exsolution and coarsening mechanisms and kinetics in an ordered cryptoperthite series: Contributions to Mineralogy and Petrology, v. 86, p. 3-18, doi:10.1007/ BFÓ0373706.
    • (1984) Contributions to Mineralogy and Petrology , vol.86 , pp. 3-18
    • Brown, W.L.1    Parsons, I.2
  • 5
    • 0000250056 scopus 로고
    • Zoned ternary feldspars in the Klokken intrusion: Exsolution microtextures and mechanisms
    • doi:10.1007/BF00372364
    • - 1988, Zoned ternary feldspars in the Klokken intrusion: exsolution microtextures and mechanisms: Contributions to Mineralogy and Petrology, v. 98, p. 444-454, doi:10.1007/BF00372364.
    • (1988) Contributions to Mineralogy and Petrology , vol.98 , pp. 444-454
    • Brown, W.L.1    Parsons, I.2
  • 6
    • 0000117017 scopus 로고
    • Coherent fluctuations and nucleation in isotropic solids
    • Cahn, J. W., 1962, Coherent fluctuations and nucleation in isotropic solids: Acta Metallurgica, v. 10, p. 907-913.
    • (1962) Acta Metallurgica , vol.10 , pp. 907-913
    • Cahn, J.W.1
  • 8
    • 33746012315 scopus 로고    scopus 로고
    • Cahn.J. W., and Hilliard,J. E., 1958, Free Energy of a Nonuniform System. I. Interfacial Free Energy: The Journal of Chemical Physics, v. 28, n. 2, p. 258-267, doi:10.1063/l.1744102.
    • Cahn.J. W., and Hilliard,J. E., 1958, Free Energy of a Nonuniform System. I. Interfacial Free Energy: The Journal of Chemical Physics, v. 28, n. 2, p. 258-267, doi:10.1063/l.1744102.
  • 9
    • 21844511720 scopus 로고
    • Evolution equations for phase separation and ordering in binary alloys
    • Cahn, J. W., and Novick-Cohen, A., 1994, Evolution equations for phase separation and ordering in binary alloys: Journal of Statistical Physics, v. 76, n. 3-4, p. 877-909.
    • (1994) Journal of Statistical Physics , vol.76 , Issue.3-4 , pp. 877-909
    • Cahn, J.W.1    Novick-Cohen, A.2
  • 10
    • 0042459014 scopus 로고    scopus 로고
    • Development of ion and electron dual focused beam apparatus for high spatial resolution three-dimensional microanalysis of solid materials: Journal of Vacuum Science and Technology, B, Microelectronics and Nanometer Structures
    • Cheng, Z., Sakamoto, T., Takahashi, M., Kuramoto, Y., Owari, M., and Nihei, Y., 1998, Development of ion and electron dual focused beam apparatus for high spatial resolution three-dimensional microanalysis of solid materials: Journal of Vacuum Science and Technology, B, Microelectronics and Nanometer Structures, v. 16, p. 2473-2478. COMSOL multiphysics: http://www.femlab.com/ .
    • (1998) COMSOL multiphysics , vol.16 , pp. 2473-2478
    • Cheng, Z.1    Sakamoto, T.2    Takahashi, M.3    Kuramoto, Y.4    Owari, M.5    Nihei, Y.6
  • 12
    • 26844450158 scopus 로고    scopus 로고
    • Direct observation of spinodal decomposition in the magnetite-hercynite system by susceptibility measurement and transmission electron microscopy
    • doi: 10.2138/am.2005.1849
    • Golla-Schindler, U., O'Neill, H. S. C, and Putnis, A., 2005, Direct observation of spinodal decomposition in the magnetite-hercynite system by susceptibility measurement and transmission electron microscopy: The American Mineralogist, v. 90, p. 1278-1283, doi: 10.2138/am.2005.1849.
    • (2005) The American Mineralogist , vol.90 , pp. 1278-1283
    • Golla-Schindler, U.1    O'Neill, H.S.C.2    Putnis, A.3
  • 13
    • 0019927717 scopus 로고
    • Use of exsolution lamellae in lunar clinopyroxenes as cooling rate speedometers-an experimental calibration
    • Grove, T., 1982, Use of exsolution lamellae in lunar clinopyroxenes as cooling rate speedometers-an experimental calibration: The American Mineralogist, v. 67, p. 251-268.
    • (1982) The American Mineralogist , vol.67 , pp. 251-268
    • Grove, T.1
  • 14
    • 24244436454 scopus 로고
    • Test of the Validity of the Classical Theory of Spinodal Decomposition
    • doi:10.1103/PhysRevLett.52.1126
    • Heermann, D., 1984, Test of the Validity of the Classical Theory of Spinodal Decomposition: Physical Review Letters, v. 52, n. 13, p. 1126-1128, doi:10.1103/PhysRevLett.52.1126.
    • (1984) Physical Review Letters , vol.52 , Issue.13 , pp. 1126-1128
    • Heermann, D.1
  • 15
    • 0038025943 scopus 로고    scopus 로고
    • Elastic strain enthalpies of exsolution: HF solution calorimetric experiments on alkali aluminosilicate and aluminogermanate feldspars
    • Hovis, G. L., Kroll, H., Breit, U., and Yund, R. A., 2003, Elastic strain enthalpies of exsolution: HF solution calorimetric experiments on alkali aluminosilicate and aluminogermanate feldspars: The American Mineralogist, v. 88, p. 547-555.
    • (2003) The American Mineralogist , vol.88 , pp. 547-555
    • Hovis, G.L.1    Kroll, H.2    Breit, U.3    Yund, R.A.4
  • 16
    • 0034223271 scopus 로고    scopus 로고
    • Three-dimensional analysis of microstructures
    • doi:10.1016/S1044-5803(00)00046-2
    • Kral, M. V., Mangan, M. A., Spanos, G., and Rosenberg, R. O., 2000, Three-dimensional analysis of microstructures: Materials Characterization, v. 45, p. 17-23, doi:10.1016/S1044-5803(00)00046-2.
    • (2000) Materials Characterization , vol.45 , pp. 17-23
    • Kral, M.V.1    Mangan, M.A.2    Spanos, G.3    Rosenberg, R.O.4
  • 17
    • 33846232712 scopus 로고    scopus 로고
    • Computational modeling of mineral unmixing and growth
    • doi:10.1007/s00466-00-O041-l
    • Kuhl, E., and Schmid, D. W., 2007, Computational modeling of mineral unmixing and growth: Computational Mechanics, v. 39, n. 4,p. 439-451, doi:10.1007/s00466-00-O041-l.
    • (2007) Computational Mechanics , vol.39 , Issue.4 , pp. 439-451
    • Kuhl, E.1    Schmid, D.W.2
  • 18
    • 5844286510 scopus 로고
    • Intrinsic patterns in anisotropic multicomponent diffusive systems at eαuilibrium
    • doi:10.1016/0378-4371(94)00150-R
    • Lefever, R., and Carati, D., 1995, Intrinsic patterns in anisotropic multicomponent diffusive systems at eαuilibrium: Physica A, v. 213, p. 90-104, doi:10.1016/0378-4371(94)00150-R.
    • (1995) Physica A , vol.213 , pp. 90-104
    • Lefever, R.1    Carati, D.2
  • 19
    • 0011511946 scopus 로고
    • Coherent exsolution in Fe-free pyroxenes
    • McCallister, R. H., and Yund, R. A., 1977, Coherent exsolution in Fe-free pyroxenes: The American Mineralogist, v. 62, p. 721-726.
    • (1977) The American Mineralogist , vol.62 , pp. 721-726
    • McCallister, R.H.1    Yund, R.A.2
  • 20
    • 0035836506 scopus 로고    scopus 로고
    • Nonlinear diffusion and phase separation
    • doi:10.1016/S0009-2509(01)00005-7
    • Nauman, E. B., and He, D. Q., 2001, Nonlinear diffusion and phase separation: Chemical Engineering Science, v. 56, n. 6, p. 1999-2018, doi:10.1016/S0009-2509(01)00005-7.
    • (2001) Chemical Engineering Science , vol.56 , Issue.6 , pp. 1999-2018
    • Nauman, E.B.1    He, D.Q.2
  • 21
    • 36149006492 scopus 로고
    • Reciprocal relations in irreversible processes. I
    • Onsager, L., 1931, Reciprocal relations in irreversible processes. I: Physical Review, v. 37, n. 4, p. 405-426.
    • (1931) Physical Review , vol.37 , Issue.4 , pp. 405-426
    • Onsager, L.1
  • 22
    • 0019179404 scopus 로고
    • Exsolution microstructures in titanomagnetites and their magnetic significance
    • doi:10.1016/0031-9201 (80)90078-3
    • Price, G. D., 1982, Exsolution microstructures in titanomagnetites and their magnetic significance: Physics of the Earth and Planetary Interiors, v. 23, p. 2-12, doi:10.1016/0031-9201 (80)90078-3.
    • (1982) Physics of the Earth and Planetary Interiors , vol.23 , pp. 2-12
    • Price, G.D.1
  • 25
    • 17844401739 scopus 로고    scopus 로고
    • Temperature and compositional dependence of solid-liquid interfacial energy: Application of the Cahn-Hilliard theory
    • doi:10.1016/j.physb. 2005.02.008
    • Shimizu, I., and Takei, Y., 2005a, Temperature and compositional dependence of solid-liquid interfacial energy: Application of the Cahn-Hilliard theory: Physica B: Condensed Matter, v. 362, p. 169-179, doi:10.1016/j.physb. 2005.02.008.
    • (2005) Physica B: Condensed Matter , vol.362 , pp. 169-179
    • Shimizu, I.1    Takei, Y.2
  • 26
    • 10444271863 scopus 로고    scopus 로고
    • Thermodynamics of interfacial energy in binary metallic systems: Influence of adsorption on dihedral angles
    • doi:10.1016/j.actamat.2004.10.033
    • - 2005b, Thermodynamics of interfacial energy in binary metallic systems: Influence of adsorption on dihedral angles: Acta Materialia, v. 53, p. 811-821, doi:10.1016/j.actamat.2004.10.033.
    • (2005) Acta Materialia , vol.53 , pp. 811-821
    • Shimizu, I.1    Takei, Y.2
  • 27
    • 0001659604 scopus 로고
    • Dispersion relation about the kink solution of the Cahn-Hilliard equation
    • doi:10.1103/PhysRevE.47.804
    • Shinozaki, A., and Oono, Y., 1993, Dispersion relation about the kink solution of the Cahn-Hilliard equation: Physical Review E, v. 47, n. 2, p. 804-811, doi:10.1103/PhysRevE.47.804.
    • (1993) Physical Review E , vol.47 , Issue.2 , pp. 804-811
    • Shinozaki, A.1    Oono, Y.2
  • 29
    • 0344237050 scopus 로고    scopus 로고
    • The effects of liquid composition, temperature, and pressure on the equilibrium dihedral angles of binary solid-liquid systems inferred from a lattice-like model
    • doi:10.1016/j.pepi.2003.08.004
    • Takei, Y, and Shimizu, I., 2003, The effects of liquid composition, temperature, and pressure on the equilibrium dihedral angles of binary solid-liquid systems inferred from a lattice-like model: Physics of the Earth and Planetary Interiors, v. 139, p. 225-232, doi:10.1016/j.pepi.2003.08.004.
    • (2003) Physics of the Earth and Planetary Interiors , vol.139 , pp. 225-232
    • Takei, Y.1    Shimizu, I.2
  • 30
    • 0000757584 scopus 로고    scopus 로고
    • Taylor.J. E., and Cahn.J. W., 1998, Diffuse interfaces with sharp comers and facets: Phase field models with strongly anisotropic surfaces: Physica D, v. 112, n. 3-4, p. 381-41 l. doi: 10.1016/S0167-2789(97)00177-2.
    • Taylor.J. E., and Cahn.J. W., 1998, Diffuse interfaces with sharp comers and facets: Phase field models with strongly anisotropic surfaces: Physica D, v. 112, n. 3-4, p. 381-41 l. doi: 10.1016/S0167-2789(97)00177-2.
  • 31
    • 0002885045 scopus 로고
    • Large scale simulations of the two-dimensional Cahn-Hilliard model
    • doi: 10.1016/0378-4371 (94)00146-K
    • Toral, R., Chakrabarti, A., and Gunton, J. D., 1995, Large scale simulations of the two-dimensional Cahn-Hilliard model: Physica A, v. 213, n. 1-2, p. 41-49, doi: 10.1016/0378-4371 (94)00146-K.
    • (1995) Physica A , vol.213 , Issue.1-2 , pp. 41-49
    • Toral, R.1    Chakrabarti, A.2    Gunton, J.D.3
  • 32
    • 68949101798 scopus 로고    scopus 로고
    • van der Waals, J. D., 1893, The Thermodynamic Theory of Capillarity Under the Hypothesis of a Continuous Variation of Density, originally published in Dutch: Verhandel. Konink. Akad. Weten., Amsterdam, v. 1, n. 8, 56 p., translation by Rowlinson, J. S., 1979: Journal of Statistical Physics, v. 20, p. 200-244, doi:10.10Ó7/BF01011514.
    • van der Waals, J. D., 1893, The Thermodynamic Theory of Capillarity Under the Hypothesis of a Continuous Variation of Density, originally published in Dutch: Verhandel. Konink. Akad. Weten., Amsterdam, v. 1, n. 8, 56 p., translation by Rowlinson, J. S., 1979: Journal of Statistical Physics, v. 20, p. 200-244, doi:10.10Ó7/BF01011514.
  • 33
    • 0022007741 scopus 로고
    • A transmission electron microscope study of pyroxene chondrules in equilibrated L-group chondrites
    • doi:10.1016/0012-821X(85)90119-0
    • Watanabe, S., Kitamura, M., and Morimoto, N., 1985, A transmission electron microscope study of pyroxene chondrules in equilibrated L-group chondrites: Earth and Planetary Science Letters, v. 72, p. 87-98, doi:10.1016/0012-821X(85)90119-0.
    • (1985) Earth and Planetary Science Letters , vol.72 , pp. 87-98
    • Watanabe, S.1    Kitamura, M.2    Morimoto, N.3
  • 34
    • 0029472767 scopus 로고
    • Constraints on the cooling rates of chondrules from the microstructure of clinopyroxene and plagioclase
    • doi:10.1016/0016-7037(95)00210-Q
    • Weinbruch, S., and Muller, W. F., 1995, Constraints on the cooling rates of chondrules from the microstructure of clinopyroxene and plagioclase: Geochimica et Cosmochimica Acta, v. 59, n. 15, p. 3221-3230, doi:10.1016/0016-7037(95)00210-Q.
    • (1995) Geochimica et Cosmochimica Acta , vol.59 , Issue.15 , pp. 3221-3230
    • Weinbruch, S.1    Muller, W.F.2
  • 35
    • 0034775949 scopus 로고    scopus 로고
    • A transmission electron microscope study of exsolution and coarsening in iron-bearing clinopyroxene from synthetic analogues of chondrules
    • Weinbruch, S., Muller, W. F., and Hewins, R. H., 2001, A transmission electron microscope study of exsolution and coarsening in iron-bearing clinopyroxene from synthetic analogues of chondrules: Meteoritics and Planetary Science, v. 36, p. 1237-1248.
    • (2001) Meteoritics and Planetary Science , vol.36 , pp. 1237-1248
    • Weinbruch, S.1    Muller, W.F.2    Hewins, R.H.3
  • 36
    • 0346335718 scopus 로고    scopus 로고
    • Exsolution and coarsening in iron-free clinopyroxene during isothermal annealing
    • doi:10.1016/S0016-7037(03)00205-9
    • Weinbruch, S., Styrsa, V., and Muller, W. F., 2003, Exsolution and coarsening in iron-free clinopyroxene during isothermal annealing: Geochimica et Cosmochimica Acta, v, 67, p. 5071-5082, doi:10.1016/S0016-7037(03)00205-9.
    • (2003) Geochimica et Cosmochimica Acta , vol.67 , pp. 5071-5082
    • Weinbruch, S.1    Styrsa, V.2    Muller, W.F.3
  • 37
    • 34548460677 scopus 로고    scopus 로고
    • Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
    • doi:10.1016/i.jcp.2007.04.020
    • Wise, S., Kim, J., and Lowengrub, J., 2007, Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method: Journal of Computational Physics, v. 226, n. 1, p. 414-446, doi:10.1016/i.jcp.2007.04.020.
    • (2007) Journal of Computational Physics , vol.226 , Issue.1 , pp. 414-446
    • Wise, S.1    Kim, J.2    Lowengrub, J.3
  • 38
    • 28244444710 scopus 로고
    • Thermal histories of two lava flows estimated from cryptoperthite lamellar spacings
    • Yund, R. A., and Chappie, W., 1980, Thermal histories of two lava flows estimated from cryptoperthite lamellar spacings: The American Mineralogist, v. 65, p. 438-443.
    • (1980) The American Mineralogist , vol.65 , pp. 438-443
    • Yund, R.A.1    Chappie, W.2
  • 39
    • 0347940581 scopus 로고
    • Kinetics of lamellar coarsening in cryptoperthites
    • Yund, R. A., and Davidson, P., 1978, Kinetics of lamellar coarsening in cryptoperthites: The American Mineralogist, v. 63, p. 470-477.
    • (1978) The American Mineralogist , vol.63 , pp. 470-477
    • Yund, R.A.1    Davidson, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.