A critical comparison between experimental results and numerical simulations of phase separation in the Fe-Cr system

作者: J.M. Hyde , A. Cerezo , M.K. Miller , G.D.W. Smith

DOI: 10.1016/0169-4332(94)90348-4

关键词: Phase (matter)Monte Carlo methodExponentSpinodal decompositionIsing modelScale (ratio)Cahn–Hilliard equationChemistryStatistical physicsThermodynamicsAtomic units

摘要: Abstract The atomic scale microstructures resulting from the thermal ageing of a series Fe-Cr specimens have been analysed using position sensitive atom probe microanalysis. 3D quantitatively compared with both discrete dynamic Ising model and numerical solution to non-linear Cahn-Hilliard-Cook equation. time exponent for coarsening was found closely match experimental results, whereas produced higher exponent. Moreover, reproduce better fine graininess in microstructures. It is evident that this can accurately predict evolution an important phase transformation results may be applied analyse behaviour some very engineering materials.

参考文章(16)
A. Cerezo, T. J. Godfrey, C. R. M. Grovenor, M. G. Hetherington, R. M. Hoyley, J. P. Jakubovics, J. A. Liddle, G. D. W. Smith, G. M. Worrall, Materials analysis with a position-sensitive atom probe Journal of Microscopy. ,vol. 154, pp. 215- 225 ,(1989) , 10.1111/J.1365-2818.1989.TB00584.X
Martin Grant, M. San Miguel, J. Vials, J. D. Gunton, Theory for the early stages of phase separation: The long-range-force limit Physical Review B. ,vol. 31, pp. 3027- 3039 ,(1985) , 10.1103/PHYSREVB.31.3027
J.M. Hyde, A. Cerezo, M.G. Hetherington, M.K. Miller, G.D.W. Smith, Three-dimensional characterization and modelling of spinodally decomposed iron-chromium alloys Surface Science. ,vol. 266, pp. 370- 377 ,(1992) , 10.1016/0039-6028(92)91048-G
A. Cerezo, J.M. Hyde, M.K. Miller, G. Beverini, R.P. Setna, P.J. Warren, G.D.W. Smith, New dimensions in atom probe analysis Surface Science. ,vol. 266, pp. 481- 493 ,(1992) , 10.1016/0039-6028(92)91064-I
S.S. Brenner, M.K. Miller, W.A. Soffa, Spinodal decomposition of iron-32 at.% chromium at 470°C Scripta Metallurgica. ,vol. 16, pp. 831- 836 ,(1982) , 10.1016/0036-9748(82)90239-3
I.M. Lifshitz, V.V. Slyozov, The kinetics of precipitation from supersaturated solid solutions Journal of Physics and Chemistry of Solids. ,vol. 19, pp. 35- 50 ,(1961) , 10.1016/0022-3697(61)90054-3
H.E Cook, Brownian motion in spinodal decomposition Acta Metallurgica. ,vol. 18, pp. 297- 306 ,(1970) , 10.1016/0001-6160(70)90144-6
A Cerezo, M.G Hetherington, J.M Hyde, M.K Miller, A topological approach to materials characterisation Scripta Metallurgica Et Materialia. ,vol. 25, pp. 1435- 1440 ,(1991) , 10.1016/0956-716X(91)90429-5
John W. Cahn, John E. Hilliard, Free Energy of a Nonuniform System. I. Interfacial Free Energy Journal of Chemical Physics. ,vol. 28, pp. 258- 267 ,(1958) , 10.1063/1.1744102
J. S. Langer, M. Bar-on, Harold D. Miller, New computational method in the theory of spinodal decomposition Physical Review A. ,vol. 11, pp. 1417- 1429 ,(1975) , 10.1103/PHYSREVA.11.1417