Models for phase separation and their mathematics.
暂无分享,去创建一个
[1] A. Umantsev. Thermodynamic stability of phases and transition kinetics under adiabatic conditions , 1992 .
[2] M. Gurtin. On phase transitions with bulk, interfacial, and boundary Energy , 1986 .
[3] Peter W. Bates,et al. Metastable Patterns for the Cahn-Hilliard Equation: Part II. Layer Dynamics and Slow Invariant Manifold , 1995 .
[4] M. Gurtin. Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance , 1996 .
[5] Roger Temam,et al. Some Global Dynamical Properties of a Class of Pattern Formation Equations , 1989 .
[6] P. Bates,et al. Equilibria with Many Nuclei for the Cahn–Hilliard Equation , 2000 .
[7] N. Alikakos,et al. Slow dynamics for the cahn-hilliard equation in higher space dimension part i: spectral estimates ∗ , 1994 .
[8] N. Alikakos,et al. Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and the quasi-invariant manifold , 1996 .
[9] N. Alikakos,et al. Slow Dynamics for the Cahn‐Hilliard Equation in Higher Space Dimensions: The Motion of Bubbles , 1998 .
[10] Phase-transition mechanisms for the phase-field model under internal heating. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[11] P. Hohenberg,et al. Theory of Dynamic Critical Phenomena , 1977 .
[12] J. Furter,et al. On a stationary state characterization of transition from spinodal decomposition to nucleation behaviour in the Cahn-Hilliard model of phase separation , 1989 .
[13] James S. Langer,et al. Theory of spinodal decomposition in alloys , 1971 .
[14] E.,et al. ON THE TWO-PHASE STEFAN PROBLEM WITH INTERFACIAL ENERGY AND ENTROPY % , 2022 .
[15] V. Skripov,et al. Spinodal decomposition (phase transitions via unstable states) , 1979 .
[16] E. Coutsias,et al. The aging of nuclei in a binary mixture , 1984 .
[17] Collins,et al. Diffuse interface model of diffusion-limited crystal growth. , 1985, Physical review. B, Condensed matter.
[18] L. Tartar,et al. The gradient theory of phase transitions for systems with two potential wells , 1989, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[19] Fife,et al. Phase-field methods for interfacial boundaries. , 1986, Physical review. B, Condensed matter.
[20] L. Bronsard,et al. Slow motion in the gradient theory of phase transitions via energy and spectrum , 1997 .
[21] Stephan Luckhaus,et al. The Gibbs-Thompson relation within the gradient theory of phase transitions , 1989 .
[22] James S. Langer,et al. Theory of the condensation point , 1967 .
[23] Morton E. Gurtin,et al. On the structure of equilibrium phase transitions within the gradient theory of fluids , 1988 .
[24] Paul C. Fife,et al. Dynamics of Layered Interfaces Arising from Phase Boundaries , 1988 .
[25] Thomas Wanner,et al. Spinodal Decomposition for the¶Cahn-Hilliard Equation in Higher Dimensions:¶Nonlinear Dynamics , 2000 .
[26] George J. Fix,et al. Phase field methods for free boundary problems , 1982 .
[27] P. Bates,et al. Metastable Patterns for the Cahn-Hilliard Equation, Part I , 1994 .
[28] P. Fife,et al. The phase-field description of mushy zones , 1989 .
[29] J. Taylor,et al. Overview no. 113 surface motion by surface diffusion , 1994 .
[30] James D. Gunton,et al. Introduction to the Theory of Metastable and Unstable States , 1983 .
[31] Michael J. Ward,et al. Dynamics and Coarsening of Interfaces for the Viscous Cahn—Hilliard Equation in One Spatial Dimension , 2000 .
[32] Morton E. Gurtin,et al. On a theory of phase transitions with interfacial energy , 1985 .
[33] J. Waals. The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density , 1979 .
[34] Morton E. Gurtin,et al. Continuum theory of thermally induced phase transitions based on an order parameter , 1993 .
[35] J. Langer. Models of Pattern Formation in First-Order Phase Transitions , 1986 .
[36] M. Gurtin,et al. Structured phase transitions on a finite interval , 1984 .
[37] Amy Novick-Cohen,et al. Stable patterns in a viscous diffusion equation , 1991 .
[38] Evelyn Sander,et al. Unexpectedly Linear Behavior for the Cahn-Hilliard Equation , 2000, SIAM J. Appl. Math..
[39] Christopher P. Grant. SPINODAL DECOMPOSITION FOR THE CAHN-HILLIARD EQUATION , 1993 .
[40] Giorgio Fusco,et al. The spectrum of the Cahn-Hilliard operator for generic interface in higher space dimensions , 1993 .
[41] Fife,et al. Higher-order phase field models and detailed anisotropy. , 1986, Physical review. B, Condensed matter.
[42] C. M. Elliott,et al. Global Existence and Stability of Solutions to the Phase Field Equations , 1990 .
[43] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .
[44] Peter W. Bates,et al. Slow motion for the Cahn-Hilliard equation in one space dimension , 1991 .
[45] Paul C. Fife,et al. Thermodynamically consistent models of phase-field type for the kinetics of phase transitions , 1990 .
[46] D. Haar,et al. Statistical Physics , 1971, Nature.
[47] J. Ball,et al. Material Instabilities in Continuum Mechanics, and Related Mathematical Problems , 1990 .
[48] L. Modica,et al. Gradient theory of phase transitions with boundary contact energy , 1987 .
[49] G. Caginalp. An analysis of a phase field model of a free boundary , 1986 .
[50] Basil Nicolaenko,et al. Low-Dimensional Behavior of the Pattern Formation Cahn-Hilliard Equation , 1985 .
[51] Nelson,et al. Order in metallic glasses and icosahedral crystals. , 1985, Physical review. B, Condensed matter.
[52] N. Ashcroft,et al. Weighted-density-functional theory of inhomogeneous liquids and the freezing transition. , 1985, Physical review. A, General physics.
[53] Gunduz Caginalp,et al. The role of microscopic anisotropy in the macroscopic behavior of a phase boundary , 1986 .
[54] Xinfu Chen,et al. Global asymptotic limit of solutions of the Cahn-Hilliard equation , 1996 .
[55] Evelyn Sander,et al. Monte Carlo Simulations for Spinodal Decomposition , 1999 .
[56] C. Charach,et al. On Thermodynamically Consistent Schemes for Phase Field Equations , 1998 .
[57] A. Novick-Cohen. The nonlinear Cahn-Hilliard equation: Transition from spinodal decomposition to nucleation behavior , 1985 .
[58] Robert L. Pego,et al. Front migration in the nonlinear Cahn-Hilliard equation , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[59] John W. Cahn,et al. Theory of crystal growth and interface motion in crystalline materials , 1960 .
[60] Peter W. Bates,et al. The Dynamics of Nucleation for the Cahn-Hilliard Equation , 1993, SIAM J. Appl. Math..
[61] L. Modica. The gradient theory of phase transitions and the minimal interface criterion , 1987 .
[62] C. M. Elliott,et al. Numerical Studies of the Cahn-Hilliard Equation for Phase Separation , 1987 .
[63] M. Mimura,et al. Stationary states associated with phase separation in a pure material. I. The large latent heat case , 1989 .
[64] John W. Cahn,et al. Phase Separation by Spinodal Decomposition in Isotropic Systems , 1965 .
[65] John W. Cahn,et al. On spinodal decomposition in cubic crystals , 1962 .
[66] Desai,et al. Early stages of spinodal decomposition for the Cahn-Hilliard-Cook model of phase separation. , 1988, Physical review. B, Condensed matter.
[67] L. Segel,et al. Nonlinear aspects of the Cahn-Hilliard equation , 1984 .
[68] M. Yussouff,et al. First-principles order-parameter theory of freezing , 1979 .
[69] David J. Eyre,et al. Systems of Cahn-Hilliard Equations , 1993, SIAM J. Appl. Math..
[70] Charles M. Elliott,et al. The Cahn-Hilliard Model for the Kinetics of Phase Separation , 1989 .
[71] P. C. Hohenberg,et al. Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation , 1974 .
[72] Thomas Wanner,et al. Spinodal Decomposition for the Cahn–Hilliard Equation in Higher Dimensions.¶Part I: Probability and Wavelength Estimate , 1998 .