C. Zener, Kinetics of the decomposition of Austenite, Trans. AIME, vol.167, pp.550-595, 1946.

M. Hillert, The role of interfacial energy during solid state phase transformations , Jernkontorets Ann, p.773, 1957.

K. A. Jackson and J. D. Hunt, Lamellar and rod eutectic growth, Transactions of the Metallurgical Society, AIME, vol.236, p.1129, 1966.

W. Kurz and D. J. Fisher, Fundamentals of Solidification, 1998.

H. Kerr and W. Kurz, Solidification of peritectic alloys, International Materials Reviews, vol.92, issue.2, pp.129-164, 1996.
DOI : 10.1016/0022-0248(93)90062-2

W. Boettinger, S. Coriell, A. Greer, A. Karma, W. Kurz et al., Solidification microstructures: recent developments, future directions, Acta Materialia, vol.48, issue.1, pp.43-70, 2000.
DOI : 10.1016/S1359-6454(99)00287-6

U. Hecht, L. Granasy, T. Pusztai, B. Bottger, M. Apel et al., Multiphase solidification in multicomponent alloys, Materials Science and Engineering: R: Reports, vol.46, issue.1-2, pp.1-49, 2004.
DOI : 10.1016/j.mser.2004.07.002

A. Karma and M. Plapp, New insights into the morphological stability of eutectic and peritectic coupled growth, JOM, vol.10, issue.4, pp.28-32, 2004.
DOI : 10.1007/s11837-004-0069-7

J. Llorca and V. M. Orera, Directionally solidified eutectic ceramic oxides, Progress in Materials Science, vol.51, issue.6, pp.711-809, 2006.
DOI : 10.1016/j.pmatsci.2005.10.002

M. Asta, C. Beckermann, A. Karma, W. Kurz, R. Napolitano et al., Solidification microstructures and solid-state parallels: Recent developments, future directions, Acta Materialia, vol.57, issue.4, pp.941-971, 2009.
DOI : 10.1016/j.actamat.2008.10.020

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.460.1125

N. Provatas and K. Elder, Phase-field methods in materials science and engineering, 2010.
DOI : 10.1002/9783527631520

M. Plapp, Phase-field models The Handbook of Crystal Growth, pp.631-668

A. Parisi and M. Plapp, Stability of lamellar eutectic growth, Acta Materialia, vol.56, issue.6, p.1348, 2008.
DOI : 10.1016/j.actamat.2007.11.037

A. Parisi and M. Plapp, Defects and multistability in eutectic solidification patterns, EPL (Europhysics Letters), vol.90, issue.2, 2010.
DOI : 10.1209/0295-5075/90/26010

M. Perrut, A. Parisi, S. Akamatsu, S. Bottin-rousseau, G. Faivre et al., Role of transverse temperature gradients in the generation of lamellar eutectic solidification patterns, Acta Materialia, vol.58, issue.5, pp.1761-1769, 2010.
DOI : 10.1016/j.actamat.2009.11.018

URL : https://hal.archives-ouvertes.fr/hal-01239033

S. Bottin-rousseau, M. Perrut, C. Picard, S. Akamatsu, and G. Faivre, An experimental method for the in situ observation of eutectic growth patterns in bulk samples of transparent alloys, Journal of Crystal Growth, vol.306, issue.2, pp.465-472, 2007.
DOI : 10.1016/j.jcrysgro.2007.05.035

URL : https://hal.archives-ouvertes.fr/hal-00124067

V. T. Witusiewicz, U. Hecht, and S. Rex, Top-view approach for insitu observation of growth morphology in bulk transparent organic alloys, JOURNAL OF CRYSTAL GROWTH, vol.353, 2012.

H. Nguyen-thi, L. Salvo, R. H. Mathiesen, L. Arnberg, B. Billia et al., On the interest of synchrotron X-ray imaging for the study of solidification in metallic alloys, Comptes Rendus Physique, vol.13, issue.3, pp.237-245, 2012.
DOI : 10.1016/j.crhy.2011.11.010

URL : https://hal.archives-ouvertes.fr/hal-00728101

J. S. Langer, Instabilities and pattern formation in crystal growth, Reviews of Modern Physics, vol.52, issue.1, 1980.
DOI : 10.1103/RevModPhys.52.1

K. Kassner and C. Misbah, Growth of lamellar eutectic structures: The axisymmetric case, Phys. Rev. A, vol.44, issue.6513, 1991.

K. Kassner and C. Misbah, Similarity laws in eutectic growth, Physical Review Letters, vol.66, issue.4, pp.445-448, 1991.
DOI : 10.1103/PhysRevLett.66.445

P. Manneville, Dissipative structures and weak turbulence, 1990.
DOI : 10.1007/3-540-60188-0_59

M. C. Cross and P. C. Hohenberg, Pattern formation outside of equilibrium, Reviews of Modern Physics, vol.65, issue.3, p.65, 1993.
DOI : 10.1103/RevModPhys.65.851

M. Ginibre, S. Akamatsu, and G. Faivre, Experimental determination of the stability diagram of a lamellar eutectic growth front, Physical Review E, vol.56, issue.1, p.780, 1997.
DOI : 10.1103/PhysRevE.56.780

URL : https://hal.archives-ouvertes.fr/hal-00002634

A. Karma and A. Sarkissian, Morphological instabilities of lamellar eutectics, Metallurgical and Materials Transactions A, vol.236, issue.4, 1996.
DOI : 10.1007/BF02648952

S. Akamatsu, M. Plapp, G. Faivre, and A. Karma, Overstability of lamellar eutectic growth below the minimum-undercooling spacing, Metallurgical and Materials Transactions A, vol.45, issue.6, p.1815, 2004.
DOI : 10.1007/s11661-004-0090-z

R. Folch and M. Plapp, Quantitative phase-field modeling of two-phase growth, Physical Review E, vol.72, issue.1, p.11602, 2005.
DOI : 10.1103/PhysRevE.72.011602

S. Akamatsu, S. Bottin-rousseau, and G. Faivre, Experimental Evidence for a Zigzag Bifurcation in Bulk Lamellar Eutectic Growth, Physical Review Letters, vol.93, issue.17, pp.93-175701, 2004.
DOI : 10.1103/PhysRevLett.93.175701

S. Akamatsu, S. Bottin-rousseau, and G. Faivre, Stability of lamellar eutectic growth in thick samples, Philosophical Magazine, vol.22, issue.24, 2006.
DOI : 10.1103/PhysRevB.66.054102

URL : https://hal.archives-ouvertes.fr/hal-00008945

S. Liu, J. H. Lee, and R. Trivedi, Dynamic effects in the lamellar???rod eutectic transition, Acta Materialia, vol.59, issue.8, pp.3102-3115, 2011.
DOI : 10.1016/j.actamat.2011.01.050

H. Walker, S. Liu, J. H. Lee, and R. Trivedi, Eutectic Growth in Three Dimensions, Metallurgical and Materials Transactions A, vol.56, issue.7, pp.1417-1425, 2007.
DOI : 10.1007/s11661-007-9163-0

U. Hecht, V. Witusiewicz, A. Drevermann, and S. Rex, Orientation relationship in univariant Al-Cu-Ag eutectics, Trans. Indian Inst. Met, pp.58-545, 2005.

M. Perrut, S. Akamatsu, S. Bottin-rousseau, and G. Faivre, Long-time dynamics of the directional solidification of rodlike eutectics, Physical Review E, vol.79, issue.3, p.32602, 2009.
DOI : 10.1103/PhysRevE.79.032602

URL : https://hal.archives-ouvertes.fr/hal-01239043

M. Perrut, S. Bottin-rousseau, G. Faivre, and S. Akamatsu, Dynamic instabilities of rod-like eutectic growth patterns: A real-time study, Acta Materialia, vol.61, issue.18, 2013.
DOI : 10.1016/j.actamat.2013.07.054

URL : https://hal.archives-ouvertes.fr/hal-01448377

V. Trnovcová, P. P. Fedorov, C. , V. Labas, V. A. Meleshina et al., Microstructure and physical properties of superionic eutectic composites of the LiF???RF3 (R=rare earth element) system, Solid State Ionics, vol.119, issue.1-4, pp.173-180, 1999.
DOI : 10.1016/S0167-2738(98)00500-1

R. E. Napolitano and M. Serefoglu, Control and Interpretation of Finite-Size Effects and Initial Morphology in Directional Solidification of a Rod-Type Eutectic Transparent Metal-Analog, JOM, vol.52, issue.1, pp.68-75, 2012.
DOI : 10.1007/s11837-011-0214-z

URL : https://hal.archives-ouvertes.fr/hal-01239010

M. Plapp and M. Dejmek, Stability of hexagonal solidification patterns, Europhysics Letters (EPL), vol.65, issue.2, 2004.
DOI : 10.1209/epl/i2003-10078-2

URL : https://hal.archives-ouvertes.fr/hal-00133163

N. Bergeon, D. Tourret, L. Chen, J. Debierre, R. Guérin et al., Spatiotemporal Dynamics of Oscillatory Cellular Patterns in Three-Dimensional Directional Solidification, Physical Review Letters, vol.110, issue.22
DOI : 10.1103/PhysRevLett.110.226102

R. Racek, G. Lesoult, and M. Turpin, The Cd-Sn eutectic structures at low growth rates, Journal of Crystal Growth, vol.22, issue.3, pp.210-21810, 1974.
DOI : 10.1016/0022-0248(74)90096-7

A. Ludwig, J. Mogeritsch, M. Kolbe, G. Zimmermann, L. Sturz et al., Advanced Solidification Studies on Transparent Alloy Systems: A New European Solidification Insert for Material Science Glovebox on Board the International Space Station, JOM, vol.79, issue.9, pp.1097-1101, 2012.
DOI : 10.1007/s11837-012-0403-4

L. Ratke and J. Alkemper, Ordering of the fibrous eutectic microstructure of Al???Al3Ni due to accelerated solidification conditions, Acta Materialia, vol.48, issue.8, pp.10-1016, 1939.
DOI : 10.1016/S1359-6454(99)00461-9

L. Hogan, R. Kraft, and F. Lemkey, Eutectic grains, Adv. Mater. Res, vol.5, pp.83-216, 1971.

S. Akamatsu, S. Bottin-rousseau, M. S. ¸erefo?-glu, and G. Faivre, A theory of thin lamellar eutectic growth with anisotropic interphase boundaries, Acta Materialia, vol.60, issue.6-7, pp.3199-3205, 2012.
DOI : 10.1016/j.actamat.2012.02.031

URL : https://hal.archives-ouvertes.fr/hal-01448369

S. Akamatsu, S. Bottin-rousseau, M. S. ¸erefo?-glu, and G. , Lamellar eutectic growth with anisotropic interphase boundaries: Experimental study using the rotating directional solidification method, Acta Materialia, vol.60, issue.6-7, pp.3206-3214, 2012.
DOI : 10.1016/j.actamat.2012.02.033

URL : https://hal.archives-ouvertes.fr/hal-01448370

S. Ghosh, A. Choudhury, M. Plapp, S. Bottin-rousseau, G. Faivre et al., Interphase anisotropy effects on lamellar eutectics: A numerical study, Physical Review E, vol.91, issue.2
DOI : 10.1103/PhysRevE.91.022407

URL : https://hal.archives-ouvertes.fr/hal-01472474

C. T. Rios, S. Milenkovic, and R. Caram, A novel ternary eutectic in the Nb???Al???Ni system, Scripta Materialia, vol.48, issue.10, pp.1495-1500, 2003.
DOI : 10.1016/S1359-6462(03)00073-3

M. Rinaldi, R. Sharp, and M. Flemings, Growth of ternary composites from the melt: Part I, Metallurgical Transactions, vol.56, issue.1, p.3133, 1972.
DOI : 10.1007/BF02661324

M. Plapp and A. Karma, Eutectic colony formation: A stability analysis, Physical Review E, vol.60, issue.6, pp.6865-6889, 1999.
DOI : 10.1103/PhysRevE.60.6865

S. Akamatsu and G. Faivre, Traveling waves, two-phase fingers, and eutectic colonies in thin-sample directional solidification of a ternary eutectic alloy, Physical Review E, vol.61, issue.4, pp.61-3757, 2000.
DOI : 10.1103/PhysRevE.61.3757

M. Plapp and A. Karma, Eutectic colony formation: A phase-field study, Physical Review E, vol.66, issue.6, p.61608, 2002.
DOI : 10.1103/PhysRevE.66.061608

URL : https://hal.archives-ouvertes.fr/hal-00133160

Z. Shang, J. Shen, J. Zhang, L. Wang, L. Wang et al., Effect of microstructures on the room temperature fracture toughness of NiAl???32Cr???6Mo hypereutectic alloy directionally solidified at different withdrawal rates, Materials Science and Engineering: A, vol.611, pp.306-312, 2014.
DOI : 10.1016/j.msea.2014.05.090

S. Tewari, S. Raj, I. Locci, M. Metallurgy, and . Materials, A comparison between growth morphology of ???Eutectic??? cells/dendrites and single-phase cells/dendrites, Metallurgical and Materials Transactions A, vol.42, issue.1, pp.1632-1635, 2004.
DOI : 10.1007/s11661-004-0269-3

S. Akamatsu, M. Perrut, S. Bottin-rousseau, and G. Faivre, Spiral Two-Phase Dendrites, PHYSICAL REVIEW LETTERS 104
DOI : 10.1103/physrevlett.104.056101

S. Akamatsu, S. Bottin-rousseau, G. Faivre, and E. A. Brener, Scaling Theory of Two-Phase Dendritic Growth in Undercooled Ternary Melts, PHYSICAL REVIEW LETTERS 112

L. Rátkai, A. Szállás, T. Pusztai, T. Mohri, and L. Gránásy, Ternary eutectic dendrites: Pattern formation and scaling properties, The Journal of Chemical Physics, vol.142, issue.15, 2015.
DOI : 10.1063/1.4917201

G. Boussinot, C. Hueter, and E. A. Brener, Growth of a two-phase finger in eutectics systems, Physical Review E, vol.83, issue.2
DOI : 10.1103/PhysRevE.83.020601

T. Himemiya and T. Umeda, Three-Phase Planar Eutectic Growth Models for a Ternary Eutectic System, Materials Transactions, JIM, vol.40, issue.7, pp.665-674, 1999.
DOI : 10.2320/matertrans1989.40.665

A. Choudhury, M. Plapp, and B. Nestler, Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys, PHYSICAL REVIEW E 83

V. Witusiewicz, U. Hecht, S. Rex, and M. , In situ observation of microstructure evolution in low-melting Bi???In???Sn alloys by light microscopy, Acta Materialia, vol.53, issue.13, 2005.
DOI : 10.1016/j.actamat.2005.04.015

L. Sturz, V. Witusiewicz, U. Hecht, and S. Rex, Organic alloy systems suitable for the investigation of regular binary and ternary eutectic growth, Journal of Crystal Growth, vol.270, issue.1-2, 2004.
DOI : 10.1016/j.jcrysgro.2004.06.004

M. Ruggiero and J. Rutter, Origin of microstructure in the 332 K eutectic of the Bi-In-Sn system, Materials Science and Technology, vol.5, issue.93, pp.5-11, 1997.
DOI : 10.1179/030634584790420014

A. Genau and L. Ratke, Morphological characterization of the Al???Ag???Cu ternary eutectic, International Journal of Materials Research, vol.103, issue.4, pp.469-475, 2012.
DOI : 10.3139/146.110652

R. J. Contieri, C. T. Rios, M. Zanotello, and R. Caram, Growth and three-dimensional analysis of a Nb???Al???Ni ternary eutectic, Materials Characterization, vol.59, issue.6, 2008.
DOI : 10.1016/j.matchar.2007.05.025

A. Choudhury, A. Dennstedt, L. Ratke, and B. Nestler, Role of composition and solid-liquid surface energy in self-organization of phases during three-phase eutectic growth, p.unpublished, 2015.

W. J. Boettinger, The structure of directionally solidified two-phase Sn-Cd peritectic alloys, Metallurgical Transactions, vol.2, issue.9, pp.2023-2031, 1974.
DOI : 10.1007/BF02644495

S. Dobler, T. S. Lo, M. Plapp, and A. Karma, Peritectic coupled growth, Acta Materialia, vol.52, issue.9, p.2795, 2004.
DOI : 10.1016/j.actamat.2004.02.026

T. Lo, S. Dobler, M. Plapp, A. Karma, and W. Kurz, Two-phase microstructure selection in peritectic solidification: from island banding to coupled growth, Acta Materialia, vol.51, issue.3, pp.599-611, 2003.
DOI : 10.1016/S1359-6454(02)00440-8

T. Lo, A. Karma, and M. Plapp, Phase-field modeling of microstructural pattern formation during directional solidification of peritectic alloys without morphological instability, Phys. Rev

F. Kohler, L. Germond, J. D. Wagniere, and M. Rappaz, Peritectic solidification of Cu???Sn alloys: Microstructural competition at low speed, Acta Materialia, vol.57, issue.1, 2009.
DOI : 10.1016/j.actamat.2008.08.058

M. Rappaz, F. Kohler, J. Valloton, A. B. Phillion, M. Stampanoni-allurgical et al., Connectivity of Phases and Growth Mechanisms in Peritectic Alloys Solidified at Low Speed: an X-Ray Tomography Study of Cu-Sn, Metallurgical and Materials Transactions A, vol.32, issue.3, pp.563-567, 2010.
DOI : 10.1007/s11661-009-0118-5

J. Valloton, J. D. Wagniere, and M. Rappaz, Competition of the primary and peritectic phases in hypoperitectic Cu???Sn alloys solidified at low speed in a diffusive regime, Acta Materialia, vol.60, issue.9, 2012.
DOI : 10.1016/j.actamat.2012.03.030

S. Akamatsu, S. Moulinet, and G. Faivre, The formation of lamellar-eutectic grains in thin samples, Metallurgical and Materials Transactions A, vol.51, issue.8, pp.2039-2048, 2001.
DOI : 10.1007/s11661-001-0016-y

URL : https://hal.archives-ouvertes.fr/hal-00002636

J. Valloton, J. A. Dantzig, M. Plapp, and M. Rappaz, Modeling of peritectic coupled growth in Cu???Sn alloys, Acta Materialia, vol.61, issue.15, p.61, 2013.
DOI : 10.1016/j.actamat.2013.05.011

G. Boussinot, E. A. Brener, and D. E. Temkin, Kinetics of isothermal phase transformations above and below the peritectic temperature: Phase-field simulations, Acta Materialia, vol.58, issue.5, 2010.
DOI : 10.1016/j.actamat.2009.11.017

G. Boussinot, C. Hueter, R. Spatschek, and E. A. Brener, Isothermal solidification in peritectic systems, Acta Materialia, vol.75, pp.212-218, 2014.
DOI : 10.1016/j.actamat.2014.04.055

URL : http://hdl.handle.net/11858/00-001M-0000-0024-B256-B

H. Shibata, Y. Arai, M. Suzuki, and T. Emi, Kinetics of peritectic reaction and transformation in Fe-C alloys, Metallurgical and Materials Transactions B, vol.5, issue.5, pp.981-991, 2000.
DOI : 10.1007/s11663-000-0074-3

D. Phelan, M. Reid, R. Dippenaar, and S. Materials, Kinetics of the peritectic reaction in an Fe???C alloy, Materials Science and Engineering: A, vol.477, issue.1-2, 2008.
DOI : 10.1016/j.msea.2007.05.090

J. Tiaden, Phase field, 12th International Conference on Crystal Growth Conjunction with the 10th International Conference on Vapor Growth and Epitaxy (ICCG-12, pp.1275-1280, 1998.

M. Ohno and K. Matsuura, Diffusion-controlled peritectic reaction process in carbon steel analyzed by quantitative phase-field simulation, Acta Materialia, vol.58, issue.18, pp.6134-6141, 2010.
DOI : 10.1016/j.actamat.2010.07.031

M. Ohno and K. Matsuura, Motion and Morphology of Triple Junction in Peritectic Reaction Analyzed by Quantitative Phasefield Model, ISIJ INTERNATIONAL, vol.50, 2010.

I. Steinbach and M. , The influence of lattice strain on pearlite formation in Fe???C, Acta Materialia, vol.55, issue.14, p.4817, 2007.
DOI : 10.1016/j.actamat.2007.05.013

D. Pawlak, G. Lerondel, I. Dmytruk, Y. Kagamitani, S. Durbin et al., Second order self-organized pattern of terbium???scandium???aluminum garnet and terbium???scandium perovskite eutectic, Journal of Applied Physics, vol.91, issue.12, pp.9731-9736, 2002.
DOI : 10.1063/1.1479752

D. Pawlak, K. Kolodziejak, S. Turczynski, J. Kisielewski, K. Rozniatowski et al., :Pr Eutectic, Chemistry of Materials, vol.18, issue.9, pp.2450-2457, 2006.
DOI : 10.1021/cm060136h

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko et al., How Far Are We from Making Metamaterials by Self-Organization? The Microstructure of Highly Anisotropic Particles with an SRR-Like Geometry, Advanced Functional Materials, vol.28, issue.238, pp.1116-1124, 2010.
DOI : 10.1002/adfm.200901875

K. Sadecka, M. Gajc, K. Orlinski, H. B. Surma, A. Klos et al., When Eutectics Meet Plasmonics: Nanoplasmonic, Volumetric, Self-Organized, Silver-Based Eutectic, Advanced Optical Materials, vol.11, issue.3, pp.381-389, 2015.
DOI : 10.1002/adom.201400425

URL : https://digital.csic.es/bitstream/10261/134961/1/accesoRestringido.pdf

A. Choudhury, M. Geeta, and B. Nestler, Influence of solid-solid interface anisotropy on three-phase eutectic growth during directional solidification , EPL 101

V. Kokotin and U. Hecht, Molecular dynamics simulations of Al???Al2Cu phase boundaries, Computational Materials Science, vol.86, pp.30-37, 2014.
DOI : 10.1016/j.commatsci.2014.01.014

C. M. Gourlay, K. Nogita, A. K. Dahle, Y. Yamamoto, K. Uesugi et al., In situ investigation of unidirectional solidification in Sn???0.7Cu and Sn???0.7Cu???0.06Ni, situ investigation of unidirectional solidification in Sn-0.7Cu and Sn, pp.4043-4054, 2011.
DOI : 10.1016/j.actamat.2011.03.028