References
- M. Volmer, Kinetik der Phasenbildung, Steinkopff, Dresden/Leipzig, 1939.
- R. Becker and W. Döring, Kinetische behandlung der keimbildung in übersättigten dämpfen, Ann. Phys. 416 (1935), pp. 719–752. Available at .
- J. Zeldovich, Theory of nucleation and condensation, Soviet Phys.-JETP 12 (1942), pp. 525.
- Y. Frenkel, Kinetic Theory of Liquids, Oxford University Press, Oxford, 1946.
- D. Turnbull and J.C. Fisher, Rate of nucleation in condensed systems, J. Chem. Phys. 17 (1949), pp. 71–73. Available at https://doi.org/10.1063/1.1747055.
- J. Feder, K.C. Russell, J. Lothe, and G.M. Pound, Homogeneous nucleation and growth of droplets in vapours, Adv. Phys. 15 (1966), pp. 111–178. Available at https://doi.org/10.1080/00018736600101264.
- D. Reguera and H. Reiss, Nucleation in confined ideal binary mixtures: The Renninger–Wilemski problem revisited, J. Chem. Phys. 119 (2003), pp. 1533–1546. Available at https://doi.org/10.1063/1.1579685.
- A.S. Abyzov and J.W.P. Schmelzer, Nucleation versus spinodal decomposition in confined binary solutions, J. Chem. Phys. 127 (2007), p. 114504. Available at https://doi.org/10.1063/1.2774989.
- S. Prestipino, A. Laio, and E. Tosatti, Systematic improvement of classical nucleation theory, Phys. Rev. Lett. 108 (2012), p. 225701. Available at .
- J. Russo and H. Tanaka, Crystal nucleation as the ordering of multiple order parameters, J. Chem. Phys. 145 (2016), p. 211801. Available at https://doi.org/10.1063/1.4962166.
- W. Lechner, C. Dellago, and P.G. Bolhuis, Reaction coordinates for the crystal nucleation of colloidal suspensions extracted from the reweighted path ensemble, J. Chem. Phys. 135 (2011), p. 154110. Available at https://doi.org/10.1063/1.3651367.
- S. Auer and D. Frenkel, Prediction of absolute crystal-nucleation rate in hard-sphere colloids, Nature409 (2001), pp. 1020–1023. Available at https://doi.org/10.1038/35059035.
- J. Russo and H. Tanaka, The microscopic pathway to crystallization in supercooled liquids, Sci. Rep. 2 (2012), p. 505. Available at https://doi.org/10.1038/srep00505.
- Y. Liang, G. Díaz Leines, R. Drautz, and J. Rogal, Identification of a multi-dimensional reaction coordinate for crystal nucleation in Ni3Al, J. Chem. Phys. 152 (2020), p. 224504. Available at https://doi.org/10.1063/5.0010074.
- S. Novy, P. Pareige, and C. Pareige, Atomic scale analysis and phase separation understanding in a thermally aged Fe–20at.Cr alloy, J. Nucl. Mater. 384 (2009), pp. 96–102. Available at https://www.sciencedirect.com/science/article/pii/S0022311508005801.
- M. Fine, J. Liu, and M. Asta, An unsolved mystery: The composition of bcc Cu alloy precipitates in bcc Fe and steels, Mater. Sci. Eng.: A 463 (2007), pp. 271–274. Available at https://www.sciencedirect.com/science/article/pii/S0921509306025640, tMS 2006, Mukherjee Symposium.
- J.W. Cahn and J.E. Hilliard, Free energy of a nonuniform system. III. nucleation in a two-component incompressible fluid, J. Chem. Phys. 31 (1959), pp. 688–699. Available at https://doi.org/10.1063/1.1730447.
- T. Philippe and D. Blavette, Minimum free-energy pathway of nucleation, J. Chem. Phys. 135 (2011), p. 134508. Available at https://doi.org/10.1063/1.3644935.
- T. Philippe, Nucleation and interfacial adsorption in ternary systems, J. Chem. Phys. 142 (2015), p. 094501. Available at https://doi.org/10.1063/1.4913592.
- M. Iwamatsu, Minimum free-energy path of homogenous nucleation from the phase-field equation, J. Chem. Phys. 130 (2009), p. 244507. Available at https://doi.org/10.1063/1.3158471.
- L. Zhang, L.Q. Chen, and Q. Du, Morphology of critical nuclei in solid-state phase transformations, Phys. Rev. Lett. 98 (2007), p. 265703. Available at .
- L. Gránásy, Diffuse interface theory of nucleation, J. Non Cryst. Solids 162 (1993), pp. 301–303. Available at http://www.sciencedirect.com/science/article/pii/0022309393912507.
- O. Wilhelmsen, D. Bedeaux, S. Kjelstrup, and D. Reguera, Thermodynamic stability of nanosized multicomponent bubbles/droplets: The square gradient theory and the capillary approach, J. Chem. Phys. 140 (2014), p. 024704. Available at https://doi.org/10.1063/1.4860495.
- V. Talanquer and D.W. Oxtoby, Dynamical density functional theory of gas–liquid nucleation, J. Chem. Phys. 100 (1994), pp. 5190–5200. Available at https://doi.org/10.1063/1.467183.
- J.F. Lutsko, Density functional theory of inhomogeneous liquids. III. liquid-vapor nucleation, J. Chem. Phys. 129 (2008), p. 244501. Available at https://doi.org/10.1063/1.3043570.
- V. Baidakov, G. Boltashev, and J. Schmelzer, Comparison of different approaches to the determination of the work of critical cluster formation, J. Colloid Interface Sci. 231 (2000), pp. 312–321. Available at http://www.sciencedirect.com/science/article/pii/S0021979700971480.
- J.W.P. Schmelzer, J. Schmelzer, and I.S. Gutzow, Reconciling Gibbs and van der Waals: A new approach to nucleation theory, J. Chem. Phys. 112 (2000), pp. 3820–3831. Available at https://doi.org/10.1063/1.481595.
- L. Lunéville, P. Garcia, O. Tissot, and D. Simeone, Non-classical critical precipitates in a nucleation and growth regime: Reconciliation of simulation and experiment, Appl. Phys. Lett. 121 (2022), p. 184102. Available at https://doi.org/10.1063/5.0122126.
- D. Simeone, O. Tissot, P. Garcia, and L. Luneville, Dynamics of nucleation in solids: A self-consistent phase field approach, Phys. Rev. Lett. 131 (2023), p. 117101. Available at .
- H. Reiss and M. Shugard, On the composition of nuclei in binary systems, J. Chem. Phys. 65 (1976), pp. 5280–5293. Available at https://doi.org/10.1063/1.433028.
- T. Philippe and D. Blavette, Nucleation pathway in coherent precipitation, Phil. Mag. 91 (2011), pp. 4606–4622. Available at https://doi.org/10.1080/14786435.2011.616548.
- J.W.P. Schmelzer, G.S. Boltachev, and V.G. Baidakov, Classical and generalized Gibbs' approaches and the work of critical cluster formation in nucleation theory, J. Chem. Phys. 124 (2006), p. 194503. Available at https://doi.org/10.1063/1.2196412.
- J.W.P. Schmelzer and A.S. Abyzov, Thermodynamic analysis of nucleation in confined space: Generalized Gibbs approach, J. Chem. Phys. 134 (2011), p. 054511. Available at https://doi.org/10.1063/1.3548870.
- M. Bonvalet, T. Philippe, X. Sauvage, and D. Blavette, The influence of size on the composition of nano-precipitates in coherent precipitation, Phil. Mag. 94 (2014), pp. 2956–2966. Available at https://doi.org/10.1080/14786435.2014.941029.
- J.F. Lutsko and M.A. Durán-Olivencia, A two-parameter extension of classical nucleation theory, Journal of Physics: Condensed Matter 27 (2015), p. 235101. Available at https://dx.doi.org/10.1088/0953-8984/27/23/235101.
- S. Ghosh and S.K. Ghosh, Homogeneous nucleation in vapor-liquid phase transition of Lennard-Jones fluids: A density functional theory approach, J. Chem. Phys. 134 (2011), p. 024502. Available at https://doi.org/10.1063/1.3522771.
- O. Tissot, P. Gokelaere, P. Garcia, L. Pauchard, C. Pareige, L. Luneville, and D. Simeone, Reconciliation between simulated and measured microstructures of metastable fecr alloys: A phase field approach, Acta Mater. 260 (2023), p. 119303. Available at https://www.sciencedirect.com/science/article/pii/S135964542300633X.
- H. Reiss, The kinetics of phase transitions in binary systems, J. Chem. Phys. 18 (1950), pp. 840–848. Available at .
- D. Stauffer, Kinetic theory of two-component (‘hetero-molecular’) nucleation and condensation, J. Aerosol. Sci. 7 (1976), pp. 319–333. Available at http://www.sciencedirect.com/science/article/pii/0021850276900860.
- G. Wilemski, Binary nucleation kinetics. IV. Directional properties and cluster concentrations at the saddle point, J. Chem. Phys. 110 (1999), pp. 6451–6457. Available at .
- H. Trinkaus, Theory of the nucleation of multicomponent precipitates, Phys. Rev. B 27 (1983), pp. 7372–7378. Available at .
- B.E. Wyslouzil and G. Wilemski, Binary nucleation kinetics. II. Numerical solution of the birth–death equations, J. Chem. Phys. 103 (1995), pp. 1137–1151. Available .
- B.E. Wyslouzil and G. Wilemski, Binary nucleation kinetics. III. Transient behavior and time lags, J. Chem. Phys. 105 (1996), pp. 1090–1100. Available at .
- S.P. Fisenko and G. Wilemski, Kinetics of binary nucleation of vapors in size and composition space, Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70 (2004), p. 056119.
- N.V. Alekseechkin, Multivariable kinetic theory of the first order phase transitions, J. Chem. Phys. 124 (2006), p. 124512. Available at .
- J.F. Lutsko, Communication: A dynamical theory of homogeneous nucleation for colloids and macromolecules, J. Chem. Phys. 135 (2011), p. 161101. Available at https://doi.org/10.1063/1.3657400.
- J.F. Lutsko, A dynamical theory of nucleation for colloids and macromolecules, J. Chem. Phys. 136 (2012), p. 034509. Available at https://doi.org/10.1063/1.3677191.
- E.M. Lifshits and L.P. Pitaevskii, Physical Kinetics, Course of Theoretical Physics, Pergamon Press, Oxford, 1981.
- V.A. Shneidman, Transient nucleation with a monotonically changing barrier, Phys. Rev. E 82 (2010), p. 031603.Available at .
- E.V. Makoveeva, D.V. Alexandrov, A.A. Ivanov, and I.V. Alexandrova, Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization, Journal of Physics A: Mathematical and Theoretical 56 (2023), p. 455702. Available at https://dx.doi.org/10.1088/1751-8121/ad0202.
- D.V. Alexandrov and A.P. Malygin, Nucleation kinetics and crystal growth with fluctuating rates at the intermediate stage of phase transitions, Modelling and Simulation in Materials Science and Engineering 22 (2013), p. 015003. Available at https://dx.doi.org/10.1088/0965-0393/22/1/015003.
- T. Philippe, M. Bonvalet, and D. Blavette, Kinetic theory of diffusion-limited nucleation, J. Chem. Phys. 144 (2016), p. 204501. Available at .
- Y. Buyevich and V. Mansurov, Kinetics of the intermediate stage of phase transition in batch crystallization, J. Cryst. Growth 104 (1990), pp. 861–867. Available at https://www.sciencedirect.com/science/article/pii/002202489090112X.
- D. Barlow, Theory of the intermediate stage of crystal growth with applications to protein crystallization, J. Cryst. Growth 311 (2009), pp. 2480–2483. Available at https://www.sciencedirect.com/science/article/pii/S0022024809002723.
- D. Barlow, Theory of the intermediate stage of crystal growth with applications to insulin crystallization, J. Cryst. Growth 470 (2017), pp. 8–14. Available at https://www.sciencedirect.com/science/article/pii/S002202481730221X.
- J. Langer, Statistical theory of the decay of metastable states, Ann. Phys. (N. Y) 54 (1969), pp. 258–275. Available at https://www.sciencedirect.com/science/article/pii/0003491669901535.
- J.S. Langer and L.A. Turski, Hydrodynamic model of the condensation of a vapor near its critical point, Phys. Rev. A 8 (1973), pp. 3230–3243. Available at .
- J.F. Lutsko, Systematically extending classical nucleation theory, New J. Phys.20 (2018), p. 103015. Available at https://dx.doi.org/10.1088/1367-2630/aae174.
- M.A. Durán-Olivencia, P. Yatsyshin, S. Kalliadasis, and J.F. Lutsko, General framework for nonclassical nucleation, New J. Phys. 20 (2018), p. 083019. Available at https://dx.doi.org/10.1088/1367-2630/aad170.
- O. Tissot, C. Pareige, M.H. Mathon, M. Roussel, E. Meslin, B. Décamps, and J. Henry, Comparison between SANS and APT measurements in a thermally aged Fe-19at.Cr alloy, Mater. Charact. 151 (2019), pp. 332–341. Available at https://www.sciencedirect.com/science/article/pii/S1044580318330511.
- W. Xiong, P. Hedström, M. Selleby, J. Odqvist, M. Thuvander, and Q. Chen, An improved thermodynamic modeling of the Fe–Cr system down to zero kelvin coupled with key experiments, Calphad 35 (2011), pp. 355–366. Available at https://www.sciencedirect.com/science/article/pii/S0364591611000460.
- A. Jacob, E. Povoden-Karadeniz, and E. Kozeschnik, Revised thermodynamic description of the Fe-Cr system based on an improved sublattice model of the phase, Calphad 60 (2018), pp. 16–28. Available at https://www.sciencedirect.com/science/article/pii/S0364591617301116.
- C. Pareige, M. Roussel, S. Novy, V. Kuksenko, P. Olsson, C. Domain, and P. Pareige, Kinetic study of phase transformation in a highly concentrated Fe–Cr alloy: Monte Carlo simulation versus experiments, Acta Mater. 59 (2011), pp. 2404–2411. Available at https://www.sciencedirect.com/science/article/pii/S1359645410008700.
- E. Martínez, O. Senninger, C.C. Fu, and F. Soisson, Decomposition kinetics of Fe-Cr solid solutions during thermal aging, Phys. Rev. B 86 (2012), p. 224109. Available at .