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References

Published online by Cambridge University Press:  24 April 2020

Brent Fultz
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California Institute of Technology
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References

[1] Onsager, L., Phys. Rev. 65, 117 (1944).Google Scholar
[2] Cerezo, A., Hyde, J.M., Miller, M.K., et al., Phil. Trans. Roy. Soc. London A 341, 313 (1992).Google Scholar
[3] Hume-Rothery, W. and Raynor, G.V., The Structure of Metals and Alloys (Institute of Metals, London, 1962).Google Scholar
[4] Cottrell, A., Introduction to the Theory of Metals (Institute of Metals, London, 1988).Google Scholar
[5] Darken, L.S. and Gurry, R.W., Physical Chemistry of Metals (McGraw–Hill, New York, 1953), p. 74.Google Scholar
[6] Pettifor, D.G., Bonding and Structure of Molecules and Solids (Clarendon Press, Oxford, 1995).Google Scholar
[7] Miedema, A.R., de Chatel, P.F., and de Boer, F.R., Physica B,C 100, 1 (1980).Google Scholar
[8] Okamoto, H., Desk Handbook Phase Diagrams for Binary Alloys (ASM International, Materials Park, OH, 2000).Google Scholar
[9] Gibbs, J.W., Trans. Conn. Acad. 3, 108 (1876).Google Scholar
[10] Villars, P., Ed., with Okamoto, H. and Cenzual, K., ASM Alloy Phase Diagram Database (ASM International, Materials Park, OH, 2006–2013).Google Scholar
[11] Kittel, C., Thermal Physics (John Wiley, New York, 1969), Chapter 2.Google Scholar
[12] Warren, B.E., X-Ray Diffraction (Dover, Mineola, New York, 1990).Google Scholar
[13] Gorsky, W., Z. Physik 50, 64 (1928).Google Scholar
[14] Bragg, W.L. and Williams, E.J., Proc. Roy. Soc. London A 145, 699 (1934).Google Scholar
[15] Bragg, W.L. and Williams, E.J., Proc. Roy. Soc. London A 151, 540 (1935). Ibid. 152, 231.Google Scholar
[16] Bethe, H.A., Proc. Roy. Soc. London A 150, 552 (1935).Google Scholar
[17] de Fontaine, D., Acta Metall. 23, 553 (1975).Google Scholar
[18] West, D.R.F. and Saunders, N., Ternary Phase Diagrams in Materials Science, Third Edn. (Institute of Materials, London, 2002).Google Scholar
[19] Saunders, N. and Miodownik, A.P., CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide, Volume 1 (Pergamon Press, Oxford, 1998).Google Scholar
[20] Turchi, P.E.A., Gonis, A., and Shull, R.D., Eds., CALPHAD and Alloy Thermodynamics (TMS, Warrendale, PA, 2002).Google Scholar
[21] Turchi, P.E.A., Abrikosov, I.A., Burton, B., et al., CALPHAD 31, 4 (2007).Google Scholar
[22] Sarmiento-Perez, R., Cerqueira, T.F.T., Valencia-Jaime, I., et al., New J. Phys. 15, 115007 (2013).Google Scholar
[23] Morse, P.M. and Feshbach, H., Methods of Theoretical Physics (McGraw–Hill, New York, 1953), Chapters 5 and 10.Google Scholar
[24] Simmons, R.O. and Balluffi, R.W., Phys. Rev. 117, 52 (1960).Google Scholar
[25] Simmons, R.O. and Balluffi, R.W., Phys. Rev. 125, 862 (1962).Google Scholar
[26] Simmons, R.O. and Balluffi, R.W., Phys. Rev. 129, 1533 (1963).Google Scholar
[27] Feder, R. and Nowick, A.S., Philos. Mag. 15, 805 (1967).CrossRefGoogle Scholar
[28] Schefer, H.-E., Frenner, K., and Würschum, R., Phys. Rev. Lett. 82, 948 (1999).Google Scholar
[29] Lee, J.K. and Aaronson, H.I., Acta Metall. 23, 799 (1975).Google Scholar
[30] Dahmen, U., Hagège, S., Faudot, F., Radetic, T., and Johnson, E., Philos. Mag. 84, 2651 (2004).Google Scholar
[31] Gibbs, J.W., Trans. Conn. Acad. 11, 382 (1873).Google Scholar
[32] Volmer, M. and Weber, A., Phys, Z.. Chem. 119, 277 (1926).Google Scholar
[33] Farkas, Z., Phys, Z.. Chem. A125, 236 (1927).Google Scholar
[34] Becker, R. and Döring, W., Ann. Phys. 24, 1 (1935).Google Scholar
[35] Zeldovich, J.B., Acta Physicochim. 18, 1 (1943).Google Scholar
[36] Kelton, K.F. and Greer, A.L., Nucleation in Condensed Matter: Applications in Materials and Biology (Pergamon Press, Oxford, 2010).Google Scholar
[37] Trinkaus, H. and Yoo, M.H., Philos. Mag. A55, 269 (1987).Google Scholar
[38] Shi, G., Seinfeld, J.H., and Okuyama, K., Phys Rev. A41, 2101 (1990).Google Scholar
[39] Wu, D.T., in Solid State Physics, Volume 50, Ehrenreich, H. and Spaepen, F., Eds. (Academic Press, New York, 1997) p. 37, Section 11.Google Scholar
[40] Gulliver, G.H., J. Inst. Met. 9, 120 (1913).Google Scholar
[41] Scheil, E., Z. Metallk. 34, 70 (1942).Google Scholar
[42] Klement, W., Willens, R.H., and Duwez, P., Nature 187, 869 (1960).Google Scholar
[43] Kittel, C., Introduction to Solid State Physics Fourth Edn. (Wiley, New York, 1971), p. 143.Google Scholar
[44] Medvedeva, N.I., Gornostyrev, Y.N., and Freeman, A.J., Phys. Rev. B 67, 134204 (2003).Google Scholar
[45] The Fermi Surface Database www.phys.ufl.edu/fermisurface/.Google Scholar
[46] Choy, T.S., Naset, J., Chen, J., Hershfield, S., and Stanton, C., Bull. Amer. Phys. Soc. 45, 42 (2000).Google Scholar
[47] Sholl, D.S. and Steckel, J.A., Density Functional Theory: A Practical Introduction (John Wiley and Sons, Hoboken, New Jersey, 2009).Google Scholar
[48] Frary, M., “Anisotropic Elasticity,” Wolfram Demonstrations Project (Wolfram Research Inc., 2011).Google Scholar
[49] Eshelby, J.D., J. Appl. Phys. 25, 255 (1954).Google Scholar
[50] Eshelby, J.D., Solid State Phys. 3, 79 (1956).Google Scholar
[51] Eshelby, J.D., Proc. Roy. Soc. London A 241, 376 (1957).Google Scholar
[52] Nabarro, F.R.N., Proc. Roy. Soc. London A 175, 519 (1940).Google Scholar
[53] Kikuchi, R., Phys. Rev. 81, 988 (1951).Google Scholar
[54] Kikuchi, R., J. Chem. Phys. 60, 1071 (1974).Google Scholar
[55] de Fontaine, D., in Solid State Physics, Volume 34, Ehrenreich, H., Seitz, F., and Turnbull, D., Eds. (Academic Press, New York, 1979), p. 73.Google Scholar
[56] Fowler, R.H. and Guggenheim, E.A., Proc. Roy. Soc. London A 174, 189 (1940).Google Scholar
[57] Sanchez, J.M., Ducastelle, F., and Gratias, D., Physica A 128, 334 (1984).CrossRefGoogle Scholar
[58] Connolly, J.W.D. and Williams, A.R., Phys. Rev. B 27, 5169 (1983).Google Scholar
[59] Kikuchi, R., Phys. Rev. 81, 988 (1951).Google Scholar
[60] Van Baal, C.M., Physica 64, 571 (1973).Google Scholar
[61] Sanchez, J.M. and de Fontaine, D., Phys. Rev. B 21, 216 (1980).Google Scholar
[62] Cenedese, P. and Kikuchi, R., Physica A 205, 747 (1994).Google Scholar
[63] Nernst, W. and Lindemann, F.A., Berl. Ber. 494 (1911).Google Scholar
[64] Gopal, E.S.R., Specific Heats at Low Temperatures (Plenum, New York, 1966).Google Scholar
[65] McCullough, J.P. and Scott, D.W., Eds. Experimental Thermodynamics Volume 1: Calorimetry of Non-Reacting Systems (Plenum, New York, 1968).Google Scholar
[66] Lang, B.E., Boerio-Goates, J., and Woodfield, B.F., J. Chem. Thermodynamics 38, 1655 (2006).Google Scholar
[67] Bachmann, R., DiSalvo, F.J., Geballe, T.H., et al., Rev. Sci. Instr. 43, 205 (1972).Google Scholar
[68] Stewart, G.R., Rev. Sci. Instr. 54, 1 (1983).Google Scholar
[69] Lashley, J.C., Hundley, M.F., Migliori, A., et al., Cryogenics 43, 369 (2003).Google Scholar
[70] Kennedy, C.A., Stancescu, M., Marriott, R., and Whsite, M.A. Cryogenics 47, 107 (2007).Google Scholar
[71] Einstein, A., Ann. Phys. 22, 180 (1907).Google Scholar
[72] Maradudin, A.A., Montroll, E.W., Weiss, G.H., and Ipatova, I.P., Theory of Lattice Dynamics in the Harmonic Approximation (Academic Press, New York, 1971).Google Scholar
[73] Born, M. and Wang, K., Dynamical Theory of Crystal Lattices (Clarendon Press, Oxford, 1988).Google Scholar
[74] Dove, M.T., Introduction to Lattice Dynamics (Cambridge University Press, Cambridge, 1993).Google Scholar
[75] van de Walle, A. and Ceder, G., Rev. Mod. Phys. 74, 11 (2002).Google Scholar
[76] Moraitis, G. and Gautier, F., J. Phys. F: Metal Phys. 7, 1421 (1977).Google Scholar
[77] Matthew, J.A.D., Jones, R.E., and Dwyer, V.M., J. Phys. F: Metal Phys. 13, 581 (1983).Google Scholar
[78] Waegemaekers, A.A.H.J. and Bakker, H., Mater. Res. Soc. Symp. Proc. 21, 343 (1984).Google Scholar
[79] Garbulsky, G.D. and Ceder, G., Phys. Rev. B 53, 8993 (1996).Google Scholar
[80] Baer, S., J. Phys. C: Solid State Phys. 16, 4103 (1983).Google Scholar
[81] Mahanty, J. and Sachdev, M., J. Phys. C 3, 773 (1970).Google Scholar
[82] Bakker, H., Philos. Mag. A 45, 213 (1982).Google Scholar
[83] Bakker, H., Phys. Stat. Solidi B 109, 211 (1982).Google Scholar
[84] Delaire, O., Swan-Wood, T., and Fultz, B., Phys. Rev. Lett. 93, 185704 (2004).CrossRefGoogle Scholar
[85] Fultz, B. and Howe, J.M., Transmission Electron Microscopy and Diffractometry of Materials Fourth Edn. (Springer, Heidelberg, 2013).CrossRefGoogle Scholar
[86] Sluiter, M.H.F., Weinert, M., and Kawazoe, Y., Phys. Rev. B 59, 4100 (1999).Google Scholar
[87] van de Walle, A. and Ceder, G., Phys. Rev. B 61, 5972 (2000).Google Scholar
[88] Wu, E.J., Ceder, G., and van de Walle, A., Phys. Rev. B 67, 134103 (2003).Google Scholar
[89] Slater, J.C., Introduction to Chemical Physics (McGraw-Hill, New York, 1939), Chapter 13.Google Scholar
[90] Desgreniers, S., Vohra, Y.K., and Ruoff, A.L., J. Phys. Chem. 94, 1117 (1990).Google Scholar
[91] Weck, G., Desgreniers, S., and Loubeyre, P., Phys. Rev. Lett. 102, 255503 (2009).Google Scholar
[92] Dias, R.P. and Silvera, I.F., Science 355, 715 (2017).Google Scholar
[93] Winterrose, M.L., Lucas, M.S., Yue, A. F., et al., Phys. Rev. Lett. 102, 237202 (2009).Google Scholar
[94] Tong, X., Xu, X., Fultz, B., et al., Phys. Rev. B 95, 094306 (2017).Google Scholar
[95] Schwarz, R.B. and Johnson, W.L., Phys. Rev. Lett. 51, 415 (1983).Google Scholar
[96] Johnson, W.L., Prog. Mater. Sci. 30, 81 (1986).Google Scholar
[97] Chen, L.J., Lin, J.H., Lee, T.L., et al., Microsc. Res. Tech. 40, 136 (1998).Google Scholar
[98] Gorsky, W.S., Phys. Zeitschr. Sowjetunion 8, 457 (1935).Google Scholar
[99] Snoek, J.L., Physica 8, 711 (1941).Google Scholar
[100] Cottrell, A.H. and Jaswon, M.A., Proc. Roy. Soc. A199, 104 (1949).Google Scholar
[101] Vreeland, T., Wood, D.S., and Clark, D.S., Trans. Amer. Soc. Metals 45, 620 (1953).Google Scholar
[102] Holstein, T., Ann. Phys. 8, 325 (1959). Ibid 8, 342 (1959).Google Scholar
[103] Emin, D. and Holstein, T., Ann. Phys. 53, 439 (1969).Google Scholar
[104] Austin, I.G. and Mott, N.F., Adv. Phys. 18, 41 (1969).Google Scholar
[105] Mott, N., J. Non-Cryst. Solids 1, 1 (1968).Google Scholar
[106] Schmid, H., Ferroelectrics 162, 317 (1994).Google Scholar
[107] Heckmann, G., Ergeb. Exakten Naturwiss. 4, 100 (1925).Google Scholar
[108] Nye, J.F., Physical Properties of Crystals: Their Representation by Tensors and Matrices (Oxford University Press, Oxford, 1985).Google Scholar
[109] Nagel, L.J., Fultz, B., Robertson, J.L., and Spooner, S., Phys. Rev. B 55, 2903 (1997).Google Scholar
[110] Manley, M.E., Fultz, B., and Nagel, L.J., Philos. Mag. B 80, 1167 (2000).Google Scholar
[111] Nagel, L.J., Ph.D. thesis in materials science, California Institute of Technology (1996).Google Scholar
[112] Gopalan, V., Dierolf, V., and Scrymgeour, D.A., Annu. Rev. Mater. Res. 37, 449 (2007).Google Scholar
[113] Zhao, Z., Ding, X., Lookman, T., Sun, J., and Salje, E.K.H., Adv. Mater. 25, 3244 (2013).Google Scholar
[114] Tartar, L., The General Theory of Homogenization: A Personalized Introduction, Lecture Notes of the Unione Matematica Italiana 7 (Springer-Verlag, Berlin Heidelberg, 2010).Google Scholar
[115] Cahn, J.W., Acta Metall. 10, 179 (1962).Google Scholar
[116] Huh, J.Y., Howe, J.M., and Johnson, W.C., Scripta Metall. 24, 2007 (1990).Google Scholar
[117] Hillert, M. and Staffansson, L.-I., Acta Chem. Scand. 24 , 3618 (1970).Google Scholar
[118] Sundman, B. and Ågren, J., J. Phys. Chem. Solids 42, 297 (1981).Google Scholar
[119] Yeh, X.L., Samwer, K., and Johnson, W.L., Appl. Phys. Lett. 42, 242 (1983).Google Scholar
[120] Yeh, Xian-Li, Ph.D. thesis in applied physics, California Institute of Technology (1987).Google Scholar
[121] Bowman, R.C., Luo, C.H., Ahn, C.C., Witham, C.K., and Fultz, B., J. Alloys Compounds 217, 185 (1995).Google Scholar
[122] Samwer, K., Yeh, X.L., and Johnson, W.L., J. Non-Cryst. Solids 61, 631 (1984).Google Scholar
[123] Manning, J.R., Acta Metall. 15, 817 (1967).Google Scholar
[124] Kikuchi, R. and Sato, H., J. Chem. Phys. 53, 2702 (1970).Google Scholar
[125] Bakker, H., Philos. Mag. 40, 525 (1979).Google Scholar
[126] Sato, H. and Kikuchi, R., Acta Metall. 24, 797 (1976).Google Scholar
[127] Fultz, B., J. Chem. Phys. 87, 1604 (1987).Google Scholar
[128] Siegel, R.W., Annu. Rev. Mater. Sci. 10, 393 (1980).Google Scholar
[129] Kajcsos, Zs., Phys. Scripta T25, 26 (1989).Google Scholar
[130] Seeger, A., J. Phys. F: Metal Phys. 3, 248 (1973).Google Scholar
[131] Puska, M.J. and Nieminen, R.M., Rev. Modern Phys. 66, 841 (1994).Google Scholar
[132] Boronski, E., Europhys. Lett. 75, 475 (2006).Google Scholar
[133] Smigelskas, A.D. and Kirkendall, E.O., Trans. AIME 171, 131 (1947).Google Scholar
[134] Martin, G., Phys. Rev. B 30, 1424 (1984).Google Scholar
[135] Martin, G. and Bellon, P., Solid State Physics, Volume 50, H. Ehrenreich and F. Spaepen, Eds. (Academic Press, New York, 1996), p. 189.Google Scholar
[136] Vineyard, G., J. Phys. Chem. Solids 3, 121 (1957).Google Scholar
[137] Rice, S., Phys. Rev. 112, 804 (1958).Google Scholar
[138] Burton, W.K., Cabrera, N., and Frank, F.C., Nature 163, 398 (1949).Google Scholar
[139] Burton, W.K., Cabrera, N., and f Frank, , Phil. Trans. Roy. Soc. London 243, A 866 (1951).Google Scholar
[140] Jackson, K.A., Cryst, J.. Growth 24 /25, 130 (1974).Google Scholar
[141] Lomer, W.M. and Nye, J.F., Proc. Roy. Soc. London A 212, 576 (1952).Google Scholar
[142] Read, W.T. and Shockley, W., Phys. Rev. 78, 275 (1950).Google Scholar
[143] Van Swygenhoven, H., Farkas, D., and Caro, A., Phys. Rev. B 62, 831 (2000).Google Scholar
[144] Yuasa, M., Nakazawa, T., and Mabuchi, M., J. Phys.: Condens. Matter 24, 265703 (2012).Google Scholar
[145] Olmsted, D., Foiles, S.M., and Holm, E.A., Acta Mater. 57, 3694 (2009).Google Scholar
[146] Setyawan, W. and Kurtz, R.J., Scripta Mater. 66, 558 (2012).Google Scholar
[147] Sangid, M.D., Ezaz, T., Sehitoglu, H., and Robertson, I.M., Acta Mater. 59, 283 (2011).Google Scholar
[148] Udler, D. and Seidman, D.N., Phys. Rev. B 54, R11133 (1996).Google Scholar
[149] Foiles, S.M., Scripta Mater. 62, 231 (2010).Google Scholar
[150] Kikuchi, R. and Cahn, J.W. Phys. Rev. B 21, 1893 (1980).Google Scholar
[151] Pandit, R., Schick, M., and Wortis, M., Phys. Rev. B 26, 5112 (1982).Google Scholar
[152] Cahn, J.W. and Kikuchi, R., Phys. Rev. B 36, 418 (1987).Google Scholar
[153] Cantwell, P.R., Tang, M., Dillon, S.J., et al., Acta Mater. 62, 1 (2014).Google Scholar
[154] Frolov, T., Olmsted, D.L., Asta, M., and Mishin, Y., Nature Commun. 4, 1899 (2013).Google Scholar
[155] Frolov, T., Asta, M., and Mishin, Y., Phys. Rev. B 92, 020103 (2015).Google Scholar
[156] Cantwell, P.R., Ma, S., Bojarski, S.A., Rohrer, G.S., and Harmer, M.P., Acta Mater. 106, 78 (2016).Google Scholar
[157] Clarke, D.R., J. Amer. Ceramic Soc. 70, 15 (1987).Google Scholar
[158] Keblinski, P., Phillpot, S.R., Wolf, D., and Gleiter, H., Phys. Rev. Lett. 77, 2965 (1996).Google Scholar
[159] McLean, D., Grain Boundaries in Metals (Clarendon Press, Oxford, 1957). Chapter 5.Google Scholar
[160] Zucker, R.V., Chatain, D., Dahmen, U., Hagège, S., and Carter, W.C., J. Mater. Sci. 47, 8290 (2012).Google Scholar
[161] Desré, P.J. and Yavari, A.R., Phys. Rev. Lett. 64, 1533 (1990).Google Scholar
[162] Gösele, U. and Tu, K.N., J. Appl. Phys. 53, 3252 (1982).Google Scholar
[163] Nicolet, M.-A. and Lau, S.S., in VLSI Electronics, Volume 6, Einspruch, N.G. and Larrabee, G.B., Eds. (Academic Press, New York, 1983), p. 329.Google Scholar
[164] Walser, R. and Bené, R., Appl. Phys. Lett. 28, 624 (1976).Google Scholar
[165] Purewal, J., Ph.D. thesis in materials science, California Institute of Technology (2010).Google Scholar
[166] Dash, J.G. Contemp. Phys. 89 (1989).Google Scholar
[167] Rosenberg, R., Phys. Today 58, 50 (2005).Google Scholar
[168] Yang, Y., Asta, M., and Laird, B.B., Phys. Rev. Lett. 110, 096102 (2013).Google Scholar
[169] Mellenthin, J., Karma, A., and Plapp, M., Phys Rev. B 78, 184110 (2008).Google Scholar
[170] Tang, M., Carter, W.C., and Cannon, R.M., Phys. Rev. B 73, 024102 (2006).Google Scholar
[171] Yang, Y., Olmsted, D.L., Asta, M., and Laird, B.B., Acta Mater. 60, 4960 (2012).Google Scholar
[172] Palafox-Hernandeza, J.P., Laird, B.B., and Asta, M., Acta Mater. 59, 3137 (2011).Google Scholar
[173] Minakov, A.A., Wurm, A., and Schick, C., Eur. Phys. J. E 23, 4353 (2007).Google Scholar
[174] Daeges, J., Gleiter, H., and Perepezko, J.H., Phys. Lett. A 119, 79 (1986).Google Scholar
[175] Takeya, S., Appl. Phys. Lett. 88, 074103 (2006).Google Scholar
[176] Forsblom, M. and Grimvall, G., Nature 4, 388 (2005).Google Scholar
[177] Belonoshko, A.B., Skorodumova, N.V., Rosengren, A., and Johansson, B., Phys. Rev. B 73, 012201 (2006).Google Scholar
[178] Fecht, H.J. and Johnson, W.L., Nature 334, 50 (1988).Google Scholar
[179] Lawson, A.C., Philos. Mag. 89, 1757 (2009).Google Scholar
[180] Rose, J.H., Ferrante, J., and Smith, J.R., Phys. Rev. Lett. 47, 675 (1981).Google Scholar
[181] Rose, J.H., Smith, J.R., Guinea, F., and Ferrante, J., Phys. Rev. B 29, 2963 (1984).Google Scholar
[182] Tang, X., Li, C.W., and Fultz, B., Phys. Rev. B 82, 184301 (2010).Google Scholar
[183] Jacobs, M.H.G. and Schmid-Fetzer, R., Phys. Chem. Minerals 37, 721 (2010).Google Scholar
[184] Spenscer, P.J. and the Scientific Group Thermodata Europe (SGTE), Landolt– Börnstein / New Series Group IV: Physical Chemistry, Volume 19 (Springer, Heidelberg, 1999).Google Scholar
[185] SGTE Scientific Group Thermodata Europe www.met.kth.se/sgte/.Google Scholar
[186] Bock, N., Coffey, D., and Wallace, D.C., Phys. Rev. B 72, 155120 (2005).Google Scholar
[187] Bock, N., Wallace, D.C., and Coffey, D., Phys. Rev. B 73, 075114 (2006).Google Scholar
[188] Kresch, M.G., Lucas, M.S., Delaire, O., Lin, J.Y.Y., and Fultz, B., Phys. Rev. B 77, 024301 (2008).Google Scholar
[189] Forsblom, M. and Grimvall, G., Phys. Rev. B 72, 132204 (2005).Google Scholar
[190] Körmann, F., Dick, A., Grabowski, B., et al., Phys. Rev. B 78, 033102 (2008).Google Scholar
[191] Körmann, F., Dick, A., Grabowski, B., Hickel, T., and Neugebauer, J., Phys. Rev. B 85, 125104 (2012).Google Scholar
[192] Wallace, D.C., Statistical Physics of Crystals and Liquids: A Guide to Highly Accurate Equations of State (World Scientific, Singapore, 2003).Google Scholar
[193] Lindemann, F.A., Phys. Z. 11, 609 (1910).Google Scholar
[194] Gilvarry, J.J., Phys. Rev. 102, 308 (1956).Google Scholar
[195] Gschneidner, K., Jr., Solid State Physics, Volume 16, F. Seitz and D. Turnbull, Eds. (Academic Press, New York, 1965), p. 275.Google Scholar
[196] Kauzmann, W., Chem. Rev. 43, 219 (1948).Google Scholar
[197] Angell, C.A., Ngai, K.L., McKenna, G.B., McMillan, P.F., and Martin, S.W., J. Appl. Phys. 88, 3113 (2000).Google Scholar
[198] Debenedetti, P.G. and Stillinger, F.H., Nature 410, 259 (2001).Google Scholar
[199] Ediger, M.D., Annu. Rev. Phys. Chem. 51, 99 (2000).Google Scholar
[200] Johnson, W.L., Demetriou, M.D., Harmon, J.S., Lind, M.L., and Samwer, K., MRS Bull. 32, 644 (2007).Google Scholar
[201] Bohmer, R., Ngai, K.L., Angell, C.A., and Plazek, D.J., J. Chem. Phys. 99, 4201 (1993).Google Scholar
[202] Angell, C.A., Science 267, 1924 (1995).Google Scholar
[203] Smith, H.L., Li, C.W., Hoff, A., et al., Nature Phys. 13, 900 (2017).Google Scholar
[204] Goldstein, M., J. Chem. Phys. 64, 4767 (1976).Google Scholar
[205] Gujrati, P.D. and Goldstein, M., J. Phys. Chem. 84, 859 (1980).Google Scholar
[206] Johari, G.P., J. Chem. Phys. 112, 7518 (2000).Google Scholar
[207] Kosterlitz, J.M. and Thouless, D.J., J. Phys. C: Solid State Phys. 6, 1181 (1973).Google Scholar
[208] Kurz, W. and Fisher, D.J., Fundamentals of Solidification (Trans Tech, Switzerland, 1989).Google Scholar
[209] Chalmers, B., Physical Metallurgy (Wiley, New York, 1959).Google Scholar
[210] Chalmers, B., Principles of Solidification (John Wiley & Sons, New York, 1964), pp. 118, 119.Google Scholar
[211] Karma, A. and Rappel, W.J., Phys. Rev. E 57, 4323 (1998).Google Scholar
[212] Boettinger, W.J., Warren, J.A., Beckermann, C., and Karma, A., Annu. Rev. Mater. Res. 32, 163 (2002).Google Scholar
[213] Warren, J.A. and Boettinger, W.J., Acta Metall. Mater. 43, 689 (1995).Google Scholar
[214] Hoyt, J.J., Asta, M., and Karma, A., Mater. Sci. Eng. Rep. 41, 121 (2003).Google Scholar
[215] Brody, H.D. and Flemings, M.C., Trans. AIME, 236, 651 (1966).Google Scholar
[216] Bower, T.F., Brody, H.D., and Flemings, M.C., Trans. AIME, 236, 624 (1966).Google Scholar
[217] Saffman, P.G. and Taylor, G., Proc. Roy. Soc. 245, 312 (1958).Google Scholar
[218] Huang, S.-C. and Glicksman, M.E., Acta Metall. 29, 701 (1981).Google Scholar
[219] Langer, J.S., Rev. Mod. Phys. 52, 1 (1980).Google Scholar
[220] Mullins, W.W. and Sekerka, R.F., J. Appl. Phys. 34, 323 (1963).Google Scholar
[221] Mullins, W.W. and Sekerka, R.F., J. Appl. Phys. 35, 444 (1964).Google Scholar
[222] Ivanstov, G.P., Doklady Akad. Nauk SSSR 58, 567 (1947).Google Scholar
[223] Langer, J.S. and Müller-Krumbhaar, H., Acta Metall. 26, 1681 (1978). Ibid. 26, 1689 (1978). Ibid. 26, 1697 (1978).Google Scholar
[224] Lipton, J., Glicksman, M.E., and Kurz, W., Mater. Sci. Eng. 65, 57 (1984).Google Scholar
[225] Glicksman, M.E., Koss, M.B., and Winsa, E.A., Phys. Rev. Lett. 73, 573 (1994).Google Scholar
[226] Clarke, A.J., Tourret, D., Song, Y., et al., Acta Mater. 129, 203 (2017).Google Scholar
[227] Ben-Jacob, E., Goldenfield, N.D., Langer, J.S., and Schon, G., Phys. Rev. Lett. 51, 1930 (1981). Ibid. 29, 330 (1984).Google Scholar
[228] Kessler, D.A., Koplik, J., and Levine, H., Phys. Rev. A 33, 3352 (1986).Google Scholar
[229] Kessler, D.A. and Levine, H., Acta. Metall. 36, 2693 (1988).Google Scholar
[230] Gurevich, S., Karma, A., Plapp, M., and Trivedi, R., Phys. Rev E 81, 011603 (2010).Google Scholar
[231] Hono, K., Prog. Mater. Sci. 47, 621 (2002).Google Scholar
[232] Wang, S.C. and Starink, M.J., Int. Mater. Rev. 50, 193 (2005).Google Scholar
[233] Polmear, I.J., Trans. Metall. Soc. AIME 230, 1331 (1964).Google Scholar
[234] Taylor, J.A., Parker, B.A., and Polmear, I.J., Metall. Sci. 12, 478 (1978).Google Scholar
[235] Garg, A. and Howe, J.M., Acta Metall. Mater. 39, 1939 (1991).Google Scholar
[236] Hardy, H.K., J. Inst. Met. 78, 169 (1950).Google Scholar
[237] Kimura, H. and Hashiguti, R., Acta Metall. 9, 1076 (1961).Google Scholar
[238] Banerjee, R., Nag, S., Stechschulte, J., and Fraser, H.L., Biomaterials 25, 3413 (2004).Google Scholar
[239] Bachhav, M., Yao, L., Odette, G.R., and Marquis, E.A., J. Nucl. Mater. 453, 334 (2014).Google Scholar
[240] Hehemann, R.F., Kinsman, K.R., and Aaronson, H.I., Metall. Trans. 3A, 1077 (1972).Google Scholar
[241] United States Steel Company, Atlas of Isothermal Transformation Diagrams (U.S. Steel Company, Pittsburgh, PA, 1951).Google Scholar
[242] Langer, J.S. and Schwartz, A.J., Phys. Rev. A21, 948 (1980).Google Scholar
[243] Binder, K. and Stauffer, D., Adv. Phys. 25, 343 (1976).Google Scholar
[244] Hoyt, J.J., Phase Transformations (McMaster Innovation Press, Hamilton, ON, 2010).Google Scholar
[245] f Kolmogorov, , Akad. Nauk SSSR, Izv., Ser. Matem. 355, 1 (1937).Google Scholar
[246] Johnson, W.A. and Mehl, P.A., Trans. AIME 135, 416 (1939).Google Scholar
[247] Avrami, M., J. Chem. Phys. 7, 1103 (1939).Google Scholar
[248] Avrami, M., J. Chem. Phys. 8, 212 (1940).Google Scholar
[249] Avrami, M., J. Chem. Phys. 9, 177 (1941).Google Scholar
[250] Cahn, J.W., Acta Metall. 4, 449 (1956).Google Scholar
[251] Lifshitz, I.M. and Slyozov, V.V., J. Phys. Chem. Solids 19, 35 (1961).Google Scholar
[252] Wagner, C., Z. Electrochem. 65, 581 (1961).Google Scholar
[253] Balluffi, R.W., Allen, S.M., and Carter, W.C., Kinetics of Materials (Wiley-Interscience, Hoboken, NJ, 2005), Chapter 15 and references therein.Google Scholar
[254] Krill, C.E. and Chen, L.Q., Acta Mater. 50, 3057 (2002).Google Scholar
[255] Cahn, J.W., Acta Metall. 10, 1 (1962).Google Scholar
[256] Baker, J.C. and Cahn, J.W., in Solidification, T.J. Hughel and Bolling, G.F., Eds. (ASM, Metals Park, OH, 1971), p. 23.Google Scholar
[257] Hillert, M. and Sundman, B., Acta Metall. 24, 731 (1976).Google Scholar
[258] Hillert, M., Acta Mater. 47, 4481 (1999).Google Scholar
[259] Aziz, M.J. and Kaplan, T., Acta Metall. 36, 2335 (1988).Google Scholar
[260] Cahn, J.W., Acta Metal., 10, 789 (1962).Google Scholar
[261] Herlach, D.M., Mater. Sci. Eng. R 12, 177 (1994).Google Scholar
[262] Walder, S. and Ryder, P.L., Acta Metall. Mater. 43, 4007 (1995).Google Scholar
[263] Sobolev, S.L., Acta Mater. 61, 7881 (2013).Google Scholar
[264] Humadi, H., Hoyt, J.J., and Provatas, N., Phys. Rev. E 93, 010801(R) (2016).Google Scholar
[265] Liu, G., Zhang, G.J., Ding, X.D., Sun, J., and Chen, K.H., Mater. Sci. Eng. A 344, 113 (2003).Google Scholar
[266] Eshelby, J.D., Solid State Physics, Volume 3 (Academic Press, New York, 1956), p. 79.Google Scholar
[267] Khachaturyan, A.G., Theory of Structural Transformations in Solids (Wiley-Interscience, New York, 1983).Google Scholar
[268] Bitter, F., Phys. Rev. 37, 1527 (1931).Google Scholar
[269] Crum, M.M., communication cited in F.R.N. Nabarro, Proc. Roy. Soc. A 125, 519 (1940).Google Scholar
[270] Cahn, J.W. and Larché, F.C., Acta Metall. 32, 1915 (1984).Google Scholar
[271] Schwarz, R.B. and Khachaturyan, A.G., Phys. Rev. Lett. 74, 2523 (1995).Google Scholar
[272] Schwarz, R.B. and Khachaturyan, A.G., Acta Mater. 54, 313 (2006).Google Scholar
[273] Luo, S., Luo, W., Clewley, J.D., Flanagan, T.B., and Bowman, R.C., Jr., J. Alloys Compounds 231, 473 (1995).Google Scholar
[274] Witham, C.K., Ph.D. Thesis in materials science, California Institute of Technology (2000).Google Scholar
[275] Cahn, J.W., Acta Metall. 9, 795 (1961).Google Scholar
[276] Cahn, J.W. and Hilliard, J.E., J. Chem. Phys. 28, 258 (1958).Google Scholar
[277] Cahn, J.W. and Hilliard, J.E., J. Chem. Phys. 31, 688 (1959).Google Scholar
[278] Langer, J.S., Ann. Phys. 65, 53 (1971).Google Scholar
[279] Wei, Xiong, Hedström, P., Selleby, M., et al., CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry 35, 355 (2011).Google Scholar
[280] Langer, J.S., Rev. Mod. Phys. 52, 1 (1980).Google Scholar
[281] Hohenberg, P.C. and Halperin, B.I., Rev. Mod. Phys. 49, 435 (1977).Google Scholar
[282] Mohri, T.., in Alloy Physics, Pfeiler, W., Ed. (Wiley–VCH, Weinheim, 2007), Chapter 10.Google Scholar
[283] Allen, S.M. and Cahn, J.W., Acta Metall. 27, 1085 (1979).Google Scholar
[284] Stauffer, D., Introduction to Percolation Theory (Taylor & Francis, London, 1985).Google Scholar
[285] Khachaturyan, A.G., Phys. Met. Metallog. 13, 493 (1962).Google Scholar
[286] Khachaturyan, A.G., Sov. Phys. Solid State 5, 16 (1963).Google Scholar
[287] Khachaturyan, A.G., Sov. Phys. Solid State 5, 548 (1963).Google Scholar
[288] Khachaturyan, A.G., Prog. Mater. Sci. 22, 1-150 (1978).Google Scholar
[289] Landau, L.D. s 7, 19 (1937). Ibid 7, 627 (1937). Translated and reprinted in L.D. Landau, Collected Papers, Volume 1 (Nauka, Moscow, 1969), pp. 234–252.Google Scholar
[290] Landau, L.D. and Lifshitz, E.M., Statistical Physics (Addison-Wesley, Reading, MA, 1969), Chapters 13, 14.Google Scholar
[291] Kaminsky, E.Z. and Kurdjumov, G.V., Tekh, Zh.. Fiz. 6, 984 (1936).Google Scholar
[292] Kurdjumov, G.V., Miretzskii, V.I., and Stelletskaya, T.I., Tekh, Zh.. Fiz. 2, 1956 (1939).Google Scholar
[293] Patterson, R.L. and Wayman, C.M., Acta Metall. 14, 347 (1966).Google Scholar
[294] Shewmon, P.G., Transformations in Metals (McGraw-Hill, New York, 1969).Google Scholar
[295] Kurdjumov, G.V. and Sachs, G., Z. Phys. 64, 325 (1930).Google Scholar
[296] Nishiyama, Z., Sci. Rep. Tohoku Univ. 23, 637 (1934).Google Scholar
[297] Lieberman, D.S., Weschler, M.S., and Read, T.A., J. Appl. Phys. 26, 473 (1955).Google Scholar
[298] Kurdjumov, G.V. and Khandros, G., Dokl. Nauk. SSSR 66, 211 (1949).Google Scholar
[299] Tong, H.C. and Wayman, C.M., Acta Metall. 23, 209 (1975).Google Scholar
[300] Nishiyama, Z., Martensitic Transformation (Academic Press, New York, 1978).Google Scholar
[301] Bogers, A.J. and Burgers, W.G., Acta Metall. 12, 255 (1964).Google Scholar
[302] Olson, G.B. and Cohen, M., J. Less-Common Metals 28, 107 (1972).Google Scholar
[303] Bracke, L., Kestens, L., and Penning, J., Scripta Metall. 57, 385 (2007).Google Scholar
[304] Wechsler, M.S., Lieberman, D.S., and Read, T.A., Trans. AIME 197, 1503 (1953).Google Scholar
[305] Bowles, J.S. and Mackenzie, J.K., Acta Metall. 2, 129 (1954).Google Scholar
[306] Mackenzie, J.K. and Bowles, J.S., Acta Metall. 2, 138 (1954).Google Scholar
[307] Mackenzie, J.K. and Bowles, J.S., Acta Metall. 5, 137 (1957).Google Scholar
[308] Christian, J.W., J. Inst. Metals 84, 385 (1956).Google Scholar
[309] Born, M., Proc. Cambridge Philos. Soc. 36, 160 (1940).Google Scholar
[310] Zener, C., Elasticity and Anelasticity of Metals (University of Chicago Press, Chicago, 1948).Google Scholar
[311] Scheil, E.S., Anorg. Allg. Chem. 207, 21 (1932).Google Scholar
[312] Clapp, P.C., Phys. Stat. Sol. B 57, 561 (1973).Google Scholar
[313] Petry, W., Phase Trans. 31, 119 (1991).Google Scholar
[314] Petry, W., Heiming, A., Trampenau, J., et al., Phys. Rev. B 43, 10933 (1991).Google Scholar
[315] Petry, W., Phys, J.. IV 5 C2, 15 (1995).Google Scholar
[316] Grimvall, G., Magyari-Köpe, B., Ozolins, V., and Persson, K.A., Rev. Mod. Phys. 84, 945 (2012).Google Scholar
[317] Trampenau, J., Petry, W., and Herzig, C., Phys. Rev. B 47, 3132 (1993).Google Scholar
[318] Friedel, J., J. Phys. Lett. (Paris) 35, 59 (1974).Google Scholar
[319] Cahn, J.W., Prog. Mater. Sci. 36, 149 (1992).Google Scholar
[320] Mañosa, L., Planes, A., Ortín, J., and Martínez, B., Phys. Rev. B 45, 7633 (1992).Google Scholar
[321] Mañosa, L., Planes, A., Ortín, J., and Martínez, B., Phys. Rev. B 48, 3611 (1993).Google Scholar
[322] Obradó, E., Mañosa, L., and Planes, A., Phys. Rev. B 56, 20 (1997).Google Scholar
[323] Bogdanoff, P. and Fultz, B., Philos. Mag. B 81, 299 (2001).Google Scholar
[324] Schaefer, H.E., Nanoscience (Springer, Heidelberg, 2010).Google Scholar
[325] Fultz, B., Kuwano, H., and Ouyang, H., J. Appl. Phys. 77, 3458 (1995).Google Scholar
[326] Hong, L.B. and Fultz, B., J. Appl. Phys. 79, 3946 (1996).Google Scholar
[327] Yamada, K. and Koch, C.C., J. Mater. Res. 8, 1317 (1993).Google Scholar
[328] Pushkin, M.A., Troyan, V.I., Borisyuk, P.V., Borman, V.D., and Tronin, V.N., J. Nanosci. Nanotechnol. 12, 8676 (2012).Google Scholar
[329] Jensen, K.M.Ø., Juhas, P., Tofanelli, M.A., et al., Nature Commun. 7, 11859 (2016).Google Scholar
[330] Chen, C.C., Zhu, C., White, E.R., et al., Nature 496, 74 (2013).Google Scholar
[331] Chiu, C.Y., Li, Y., Ruan, L., Ye, X., Murray, C.B., and Huang, Y., Nature Chem. 3, 393 (2011).Google Scholar
[332] Yang, Y., Chen, C.-C., Scott, M.C., et al., Nature 542, 75 (2017).Google Scholar
[333] Saita, S. and Maenosono, S., Chem. Mater. 17, 6624 (2005).Google Scholar
[334] Miao, J., Ercius, P., and Billinge, S.J.L., Science 353, aaf2157 (2016).Google Scholar
[335] Bouckaert, L.P., Smoluchowski, R., and Wigner, E., Phys. Rev. 50, 58 (1936).Google Scholar
[336] Tschöpe, A. and Birringer, R., Acta Metall. Mater. 41, 2791 (1993).Google Scholar
[337] Suzuki, K. and Sumiyama, K., Mater. Trans. JIM 36, 188 (1995).Google Scholar
[338] Trampenau, J., Bauszuz, K., Petry, W., and Herr, U., Nanostruct. Mater. 6, 551 (1995).Google Scholar
[339] Fultz, B., Robertson, J.L., Stephens, T.A., Nagel, L.J., and Spooner, S., J. Appl. Phys. 79, 8318 (1996).Google Scholar
[340] Frase, H.N., Nagel, L.J., Robertson, J.L., and Fultz, B., Philos. Mag. B 75, 335 (1997).Google Scholar
[341] Frase, H.N., Fultz, B., and Robertson, J.L., Phys. Rev. B 57, 898 (1998).Google Scholar
[342] Papandrew, A.B., Yue, A.F., Fultz, B., et al., Phys. Rev. B 69, 144301 (2004).Google Scholar
[343] Fultz, B., Ahn, C.C., Alp, E.E., Sturhahn, W., and Toellner, T.S., Phys. Rev. Lett. 79, 937 (1997).Google Scholar
[344] Bonetti, E., Pasquini, L., Sampaolesi, E., Deriu, A., and Cicognani, G., J. Appl. Phys. 88, 4571 (2000).Google Scholar
[345] Frase, H.N., Nagel, L.J., Robertson, J.L., and Fultz, B., in Chemistry and Physics of Nanostructures and Related Non-Equilibrium Materials, E. Ma, B. Fultz, R. Shull, J. Morral, and P. Nash, Eds. (TMS, Warrendale, PA, 1997), p. 125.Google Scholar
[346] Cuenya, B.R., Naitabdi, A., Croy, J., et al., Phys. Rev. B 76, 195422 (2007).Google Scholar
[347] Cuenya, B.R., Keune, W., Peters, R., et al., Phys. Rev. B 77, 165410 (2008).Google Scholar
[348] Tamura, A., Higeta, H., and Ichinokawa, T., J. Phys. C 15, 4975 (1982).Google Scholar
[349] Tamura, A. and Ichinokawa, T., J. Phys. C 16, 4779 (1983).Google Scholar
[350] Tamura, A., Higeta, H., and Ichinokawa, T., J. Phys. C 16, 1585 (1983).Google Scholar
[351] Hansen, M.F., Koch, C.B., and Mørup, S., Phys. Rev. B 62, 1124 (2000).Google Scholar
[352] Bedanta, S. and Kleemann, W., J. Phys. D Appl. Phys. 42, 013001 (2009).Google Scholar
[353] Mørup, S., Hansen, M.F., and Frandsen, C., Beilstein J. Nanotechnol. 1, 182 (2010).Google Scholar
[354] Bozorth, R.M., Ferromagnetism (Van Nostrand, New York, 1951).Google Scholar
[355] Ruderman, M.A. and Kittel, C., Phys. Rev. 96, 99 (1954).Google Scholar
[356] Kasuya, T., Prog. Theor. Phys. 16, 45 (1956).Google Scholar
[357] Yosida, K., Phys. Rev. 106, 893 (1957).Google Scholar
[358] Goodenough, J.B., J. Phys. Chem. Solids 6, 287 (1958).Google Scholar
[359] Kanamori, J., J. Phys. Chem. Solids 10, 87 (1959).Google Scholar
[360] Anderson, P.W., Solid State Physics, Volume 14, F. Seitz and D. Turnbull, Eds. (Academic Press, New York, 1963), p. 99.Google Scholar
[361] Goodenough, J.B., Scholarpedia 3, 7382 (2008).Google Scholar
[362] Dzyaloshinskii, I., J. Phys. Chem. Solids 4, 241 (1958).Google Scholar
[363] Moriya, T., Phys. Rev. Lett. 4, 228 (1960).Google Scholar
[364] Moriya, T., Phys. Rev. 120, 91 (1960).Google Scholar
[365] Yu, X., Mostovoy, M., Tokunaga, Y., Zhang, W., et al., Proc. Natl. Acad. Sci. USA 109, 8856 (2012).Google Scholar
[366] Yu, X.Z., Onose, Y., Kanazawa, N., et al., Nature 465, 901 (2010).Google Scholar
[367] Bauer, A., Garst, M, and Pfleiderer, C., Phys. Rev. Lett. 110, 177207 (2013).Google Scholar
[368] Kay, H.F. and Vousden, P., Philos. Mag. 40, 1019 (1949).Google Scholar
[369] Sanchez, J.M., de Fontaine, D., and Teitler, W., Phys. Rev. B 26, 1465 (1982).Google Scholar
[370] Sanchez, J.M. and de Fontaine, D., Phys. Rev. B 21, 216 (1980).Google Scholar
[371] Woloszyn, M., Stauffer, D., and Kulakowski, K., Eur. Phys. J. B 57, 331 (2007).Google Scholar

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  • References
  • Brent Fultz, California Institute of Technology
  • Book: Phase Transitions in Materials
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