Nano-structure computation with coupled momentum phase ordering kinetics models

Nuclear Engineering and Design

Volumn 235, Issue 10-12, 2005, Pages 1107-1115

  Badalassi, V E ^a   Banerjee, S ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ASYMPTOTIC STABILITY; BINARY MIXTURES; COMPUTATIONAL METHODS; COMPUTER SIMULATION; GRAVITATION; INTEGRAL EQUATIONS; KINETIC THEORY; MATHEMATICAL MODELS; MORPHOLOGY; NAVIER STOKES EQUATIONS; SEDIMENTATION; SHEAR FLOW;

LANDAU EXPRESSION; SHEAR RATES; THERMAL FLUCTUATIONS; TWO-EQUILIBRIUM PHASES;

NANOSTRUCTURED MATERIALS;

EID: 19044395643     PISSN: 00295493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nucengdes.2005.02.008     Document Type: Article

References (25)

1. V.E. Badalassi, H.D. Ceniceros, and S. Banerjee Computation of multiphase systems with phase field models J. Comput. Phys. 190 2003 371 397
2. P.W. Bates, and P.C. Fife The dynamics of nucleation for the Cahn-Hilliard equation SIAM J. Appl. Math. 53 1993 990
3. L. Berthier Phase separation in a homogeneous shear flow: morphology, growth laws, and dynamic scaling Phys. Rev. E 63 2001 051503
4. D. Beysens, P. Guenon, and F. Perrot Phase separation of critical binary fluids under microgravity: comparison with matched density conditions Phys. Rev. A 38 8 1988 4173 4185
5. A.J. Bray Theory of phase-ordering kinetics Adv. Phys. 43 3 1994 357 459
6. A.J. Bray, and A. Cavagna Coarsening dynamics of a nonconserved field advected by a uniform shear flow J. Phys. A 33 33 2000 L305 L311
7. J.W. Cahn, and J.E. Hilliard Free energy of a nonuniform system I J. Chem. Phys. 28 1958 258
8. J.W. Cahn, and J.E. Hilliard Free energy of a nonuniform system III J. Chem. Phys. 31 1959 688
9. A. Cavagna, A.J. Bray, and R.D.M. Travasso Coarsening dynamics of a nonconserved field advected by a uniform shear flow Phys. Rev. E 62 4 2000 4702 4719
10. C.K. Chan, and W.I. Goldburg Late-stage phase separation and hydrodynamic flow in a binary liquid mixture Phys. Rev. Lett. 58 7 1987 674 678
11. R. Chella, and V. Viñals Mixing of a two-phase fluid by a cavity flow Phys. Rev. E 53 1996 3832
12. F. Corberi, G. Gonnella, and A. Lamura Phase separation of binary mixtures in shear flow: A numerical study Phys. Rev. E 62 6 2000 8064 8070
13. C.M. Elliot The Cahn-Hilliard model for the kinetics of phase separation Mathematical models for phase change problems - international series of numerical mathematics vol. 88 1989 Bikhäuser Verlag Basel 35 72
14. A. Frischknecht Stability of cylindrical domains in phase-separating binary fluids in shear flow Phys. Rev. E 58 3 1998 3495 3514
15. T. Hashimoto, K. Matsuzaka, E. Moses, and A. Onuki String phase in phaseseparating fluids under shear flow Phys. Rev. Lett. 74 1 1995 126 129
16. P.C. Hohenberg, and B.I. Halperin Theory of dynamic critical phenomena Rev. Mod. Phys. 11 1977 435
17. D. Jacqmin Calculation of two phase Navier Stokes flows using phase-field modeling J. Comput. Phys. 115 1999 96
18. V.M. Kendon, M.E. Cates, I. Pagonabarraga, J.-C. Desplat, and P. Blandon Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study J. Fluid Mech. 440 2001 147
19. I.M. Lifshitz, and V.V. Slyozov The kinetics of precipitation from supersaturated solid solutions J. Phys. Chem. Solids 19 1-2 1961 35 50
20. K.B. Migler String formation in sheared polymer blends: coalescence, breakup, and finite size effects Phys. Rev. Lett. 86 6 2001 1023 1026
21. O. Penrose, and P.C. Fife Thermodynamically consistent models of phase-field type for the kinetics of phase transitions Phys. D 43 1990 44
22. R. Peyret Spectral methods for incompressible viscous flow 2002 Springer New York
23. S. Puri, N. Parekh, and S. Dattagupta Phase ordering dynamics in a gravitational-field J. Stat. Phys. 75 5-6 1994 839 857
24. E.D. Siggia Late stages of spinodal decomposition in binary mixtures Phys. Rev. A 20 1979 595 605
25. J.D. van der Waals The thermodynamic theory of capillarity flow under the hypothesis of a continuous variation of density (in Dutch) Verhandel/Konink. Akad. Weten. 1 1879 8