DOI: 10.1038/nmat1693. Orientation selection in dendritic evolution

Orientation selection in dendritic evolution

10.1038/nmat1693

Crossref journal-article

Springer Science and Business Media LLC

Nature Materials (297)

Bibliography

Haxhimali, T., Karma, A., Gonzales, F., & Rappaz, M. (2006). Orientation selection in dendritic evolution. Nature Materials, 5(8), 660â664.

Authors 4

Tomorr Haxhimali (first)
Alain Karma (additional)
Frédéric Gonzales (additional)
Michel Rappaz (additional)

References 45 Referenced 395

Langer, J. S. Instabilities and pattern formation in crystal growth. Rev. Mod. Phys. 52, 1–28 (1980). (10.1103/RevModPhys.52.1) / Rev. Mod. Phys. by JS Langer (1980)
Karma, A. in Branching in Nature (eds Fleury, V., Gouyet, J. F. & Lonetti, M.) Ch. XI, 365 (Les Houches, vol. 13, EDP Sciences, Springer, 2001). (10.1007/978-3-662-06162-6_20) / Branching in Nature by A Karma (2001)
Trivedi, R., Liu, S. & Williams, S. Interface pattern formation in nonlinear dissipative systems. Nature Mater. 1, 157–159 (2002). (10.1038/nmat749) / Nature Mater. by R Trivedi (2002)
Ben-Jacob, E. & Garik, P. The formation of patterns in non-equilibrium growth. Nature 343, 523–530 (1990). (10.1038/343523a0) / Nature by E Ben-Jacob (1990)
Fleury, V. Branched fractal patterns in non-equilibrium electrochemical deposition from oscillatory nucleation and growth. Nature 390, 145–148 (1997). (10.1038/36522) / Nature by V Fleury (1997)
Boettinger, W. J., Warren, J. A., Beckermann, C. & Karma, A. Phase-field simulation of solidification. Ann. Rev. Mater. Res. 32, 163–194 (2002). (10.1146/annurev.matsci.32.101901.155803) / Ann. Rev. Mater. Res. by WJ Boettinger (2002)
Gránásy, L. et al. Growth of 'dizzy dendrites' in a random field of foreign particles. Nature Mater. 2, 92–96 (2003). (10.1038/nmat815) / Nature Mater. by L Gránásy (2003)
Gránásy, L., Pusztai, T., Börzsönyi, T., Warren, J. A. & Douglas, J. F. A general mechanism of polycrystalline growth. Nature Mater. 2, 645–650 (2003). (10.1038/nmat815) / Nature Mater. by L Gránásy (2003)
Langer, J. S. in Chance and Matter (eds Souletie, J., Vannimenus, J. & Stora, R.) 629–711 (Les Houches, Session XLVI, North Holland, Amsterdam, 1987). / Chance and Matter by JS Langer (1987)
Barbieri, A. & Langer, J. S. Predictions of dendritic growth rates in the linearized solvability theory. Phys. Rev. A 39, 5314–5325 (1989). (10.1103/PhysRevA.39.5314) / Phys. Rev. A by A Barbieri (1989)
Kessler, D., Koplik, J. & Levine, H. Pattern selection in fingered growth phenomena. Adv. Phys. 37, 255–339 (1988). (10.1080/00018738800101379) / Adv. Phys. by D Kessler (1988)
Ben Amar, M. & Brener, E. Theory of pattern selection in three dimensional nonaxisymmetric dendritic growth. Phys. Rev. Lett. 71, 589–592 (1993). (10.1103/PhysRevLett.71.589) / Phys. Rev. Lett. by M Ben Amar (1993)
Ivantsov, G. P. Temperature field around spheroidal, cylindrical and acicular crystal growing in a supercooled melt. Doklady Akad. Nauk. SSSR 58, 567–569 (1947). / Doklady Akad. Nauk. SSSR by GP Ivantsov (1947)
Karma, A. & Rappel, W. J. Numerical simulations of three-dimensional dendritic growth. Phys. Rev. Lett. 77, 4050–4053 (1996). (10.1103/PhysRevLett.77.4050) / Phys. Rev. Lett. by A Karma (1996)
Karma, A. & Rappel, W. J. Quantitative phase-field modeling of dendritic growth in two and three dimensions. Phys. Rev. E 57, 4323–4349 (1998). (10.1103/PhysRevE.57.4323) / Phys. Rev. E by A Karma (1998)
Karma, A. Phase-field methods. Encyclopedia of Materials: Science and Technology 7, 6873–6886 (2001). (10.1016/B0-08-043152-6/01219-5) / Encyclopedia of Materials: Science and Technology by A Karma (2001)
Plapp, M. & Karma, A. Multiscale random-walk algorithm for simulating interfacial pattern formation. Phys. Rev. Lett. 84, 1740–1743 (2000). (10.1103/PhysRevLett.84.1740) / Phys. Rev. Lett. by M Plapp (2000)
Plapp, M. & Karma, A. Multiscale finite-difference-diffusion-Monte-Carlo method of simulating dendritic solidification. J. Comp. Phys. 165, 592–619 (2000). (10.1006/jcph.2000.6634) / J. Comp. Phys. by M Plapp (2000)
Provatas, N., Goldenfeld, N. & Dantzig, J. Efficient computation of dendritic microstructures using adaptive mesh refinement. Phys. Rev. Lett. 80, 3308–3311 (1998). (10.1103/PhysRevLett.80.3308) / Phys. Rev. Lett. by N Provatas (1998)
Bragard, J., Karma, A., Lee, Y. H. & Plapp, M. Linking phase-field and atomistic simulations to model dendritic solidification in highly undercooled melts. Interface Sci. 10, 121–136 (2002). (10.1023/A:1015815928191) / Interface Sci. by J Bragard (2002)
Hoyt, J. J., Asta, M. & Karma, A. Atomistic and continuum modeling of dendritic solidification. Mater. Sci. Eng. R 41, 121–163 (2003). (10.1016/S0927-796X(03)00036-6) / Mater. Sci. Eng. R by JJ Hoyt (2003)
Hoyt, J. J., Asta, M. & Karma, A. Method for computing the anisotropy of the solid-liquid interfacial free energy. Phys. Rev. Lett. 86, 5530–5533 (2001). (10.1103/PhysRevLett.86.5530) / Phys. Rev. Lett. by JJ Hoyt (2001)
Hoyt, J. J. & Asta, M. Atomistic computation of liquid diffusivity, solid-liquid interfacial free energy, and kinetic coefficient in Au and Ag. Phys. Rev. B 65, 214106 (2002). (10.1103/PhysRevB.65.214106) / Phys. Rev. B by JJ Hoyt (2002)
Hoyt, J. J., Asta, M. & Karma, A. Atomistic simulation method for computing the kinetic coefficient in solid-liquid systems. Interface Sci. 10, 181–189 (2002). (10.1023/A:1015828330917) / Interface Sci. by JJ Hoyt (2002)
Asta, M., Hoyt, J. J. & Karma, A. Calculation of alloy solid-liquid interfacial free energies from atomic-scale simulations. Phys. Rev. B 66, 100101 (2002). (10.1103/PhysRevB.66.100101) / Phys. Rev. B by M Asta (2002)
Sun, D. Y., Asta, M., Hoyt, J. J., Mendelev, M. I. & Srolovitz, D. J. Crystal-melt interfacial free energies in metals:fcc versus bcc. Phys. Rev. B 69, 020102 (2004). (10.1103/PhysRevB.69.020102) / Phys. Rev. B by DY Sun (2004)
Sun, D. Y., Asta, M. & Hoyt, J. J. Crystal-melt interfacial free energies and mobilities in fcc and bcc Fe. Phys. Rev. B 69, 174103 (2004). (10.1103/PhysRevB.69.174103) / Phys. Rev. B by DY Sun (2004)
Sun, D. Y., Asta, M. & Hoyt, J. J. Kinetic coefficient of Ni solid-liquid interfaces from molecular-dynamics simulations. Phys. Rev. B 69, 024108 (2004). (10.1103/PhysRevB.69.024108) / Phys. Rev. B by DY Sun (2004)
Morris, J. R. The complete mapping of the anisotropic free energy of the crystal-melt interface in Al. Phys. Rev. B 66, 144104 (2002). (10.1103/PhysRevB.66.144104) / Phys. Rev. B by JR Morris (2002)
Sun, D. Y. et al. Crystal-melt interfacial free energies in hcp metals: A molecular dynamics study of Mg. Phys. Rev. B 73, 024116 (2006). (10.1103/PhysRevB.73.024116) / Phys. Rev. B by DY Sun (2006)
Liu, S., Napolitano, R. E. & Trivedi, R. Measurement of anisotropy of crystal-melt interfacial energy for a binary Al-CU alloy. Acta Mater. 49, 4271–4276 (2001). (10.1016/S1359-6454(01)00306-8) / Acta Mater. by S Liu (2001)
Napolitano, R. E. & Liu, S. Three-dimensional crystal-melt Wulff-shape and interfacial stiffness in the Al-Sn binary system. Phys. Rev. B 70, 214103 (2004). (10.1103/PhysRevB.70.214103) / Phys. Rev. B by RE Napolitano (2004)
Pettersen, K. & Ryum, M. Crystallography of directionally solidified Magnesium alloy AZ91. Metall. Trans. A 20, 847–852 (1989). (10.1007/BF02651651) / Metall. Trans. A by K Pettersen (1989)
Pettersen, K., Lohne, O. & Ryum, M. Dendritic solidification of Magnesium alloy AZ91. Metall. Trans. A 21, 221–230 (1990). (10.1007/BF02656439) / Metall. Trans. A by K Pettersen (1990)
Chan, S.-K., Reimer, H.-H. & Kahlweit, M. On the stationary growth shapes of NH4Cl dendrites. J. Cryst. Growth 32, 303–315 (1976). (10.1016/0022-0248(76)90111-1) / J. Cryst. Growth by S-K Chan (1976)
Henry, S., Jarry, P., Jouneau, P.-H. & Rappaz, M. Electron backscattered diffraction investigation of the texture of feathery crystals in aluminum alloys. Metall. Mater. Trans. A 28A, 207–213 (1997). (10.1007/s11661-997-0097-3) / Metall. Mater. Trans. A by S Henry (1997)
Henry, S., Jarry, P. & Rappaz, M. 〈110〉 Dendrite growth in aluminum feathery grains. Metall. Mater. Trans. A 29A, 2807–2817 (1998). (10.1007/s11661-998-0321-9) / Metall. Mater. Trans. A by S Henry (1998)
Henry, S., Minghetti, T. & Rappaz, M. Dendrite growth morphologies in aluminium alloys. Acta Mater. 46, 6431–6443 (1998). (10.1016/S1359-6454(98)00308-5) / Acta Mater. by S Henry (1998)
Henry, S. Study of the Nucleation and Growth of Feathery Grains in Aluminum alloys, Ph.D. Thesis, EPFL Lausanne (1999).
Semoroz, A. Experimental Study and Modeling of Nucleation and Growth During Solidification of Al and Zn Coatings. Ph.D. Thesis, EPFL Lausanne (1999).
Semoroz, A., Durandet, Y. & Rappaz, M. EBSD characterization of dendrite growth directions, texture and misorientations in hot-dipped Al-Zn-Si coatings. Acta Metall. Mater. 49, 529–541 (2001). (10.1016/S1359-6454(00)00322-0) / Acta Metall. Mater. by A Semoroz (2001)
Von der Lage, F. & Bethe, H. A. A method for obtaining electronic eigenfunctions and eigenvalues in solids with an application to sodium. Phys. Rev. 71, 612–622 (1947). (10.1103/PhysRev.71.612) / Phys. Rev. by F Von der Lage (1947)
Fehlner, W. R. & Vosko, S. H. A product representation for cubic harmonics and special directions for the determination of the Fermi surface and related properties. Can. J. Phys. 54, 2159–2169 (1976). (10.1139/p76-256) / Can. J. Phys. by WR Fehlner (1976)
Gudgel, K. A. & Jackson, K. A. Oscillatory growth of directionally solidified ammonium chloride dendrites. J. Cryst. Growth 225, 264–267 (2001). (10.1016/S0022-0248(01)00847-8) / J. Cryst. Growth by KA Gudgel (2001)
Brener, E. & Levine, H. Growth of non-reflection-symmetric dendrites. Phys. Rev. A 43, 883–887 (1991). (10.1103/PhysRevA.43.883) / Phys. Rev. A by E Brener (1991)

Dates

Type	When
Created	19 years, 1 month ago (July 17, 2006, 4:58 a.m.)
Deposited	3 years, 1 month ago (July 6, 2022, 2:28 p.m.)
Indexed	2 weeks ago (Aug. 7, 2025, 5:04 p.m.)
Issued	19 years, 1 month ago (July 9, 2006)
Published	19 years, 1 month ago (July 9, 2006)
Published Online	19 years, 1 month ago (July 9, 2006)
Published Print	19 years ago (Aug. 1, 2006)

Funders 0

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BibTeX

@article{Haxhimali_2006, title={Orientation selection in dendritic evolution}, volume={5}, ISSN={1476-4660}, url={http://dx.doi.org/10.1038/nmat1693}, DOI={10.1038/nmat1693}, number={8}, journal={Nature Materials}, publisher={Springer Science and Business Media LLC}, author={Haxhimali, Tomorr and Karma, Alain and Gonzales, Frédéric and Rappaz, Michel}, year={2006}, month=jul, pages={660–664} }

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