Abstract
An N-body potential is found for the intermetallic Cu3Au and is tested for both the static and dynamic properties. This potential is a better approximation than the pair potentials and can be used for the description of defects and the relaxation effects on the order-disorder transition. It is the first time that such a potential can reproduce the dynamical properties of a first-order phase transition. Although the transition temperature is lower than the experimental findings by 25%, it is found that many of the macroscopic properties change at the critical point in a steplike fashion and have, compared to known experimental data, the correct discontinuity. This is quite remarkable since all the parameters have been determined at T=0 K. Also the chemical potential difference between Cu and Au is determined for the stoichiometry of Cu3Au. This quantity is continuous at the transition temperature and shows a discontinuity in its slope.
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References
J.M.Cowley, J. Appl. Phys. 21, 24 (1950).
J.M.Cowley, Phys. Rev. 77, 669 (1950).
K.F.LudwigJr., G.B.Stephenson, J.L.Jordan-Sweet, J.Mainville, Y.S.Yang, and M.Sutton, Phys. Rev. Lett. 61, 1859 (1988).
L.D.Fosdick, Phys. Rev. 116, 565 (1959).
R.F.ShannonJr., C.R.Harkless, and S.E.Nagler, Phys. Rev. B 38, 9327 (1988).
B.D.Gaulin, E.D.Hallman, and E.C.Svensson, Phys. Rev. Lett. 64, 289 (1990).
F.D. Ticheelaar, Grain-Boundary Structure in Ordered Alloys, PhD thesis (1990).
J.G.Antonopoulos, F.W.Schapink, and F.D.Tichelaar, Phil. Mag. Lett. 61, 195 (1990).
G.C.Kuezynski, M.Doyama, and M.E.Fine, J. Appl. Phys. 27, 651 (1956).
D.G.Morris, Phys. Stat. Sol. (a) 32, 145 (1975).
P.Bardhan and J.B.Cohen, Acta Cryst. A 32, 597 (1976).
G.H.Lander, P.J.Brown, and J.FaberJr., J. Phys. C: Solid State Phys. 15, 6699 (1982).
G.H.Lander and P.J.Brown, J. Phys. C: Solid State Phys. 18, 2017 (1985).
K.Binder, Phys. Rev. Lett. 45, 811 (1980).
V.S.Sundaram, B.Farrell, R.S.Alben, and W.D.Robertson, Phys. Rev. Lett. 31, 1136 (1973).
A.Finel, V.Mazauric, and F.Ducastelle, Phys. Rev. Lett. 65, 1016 (1990).
R.W. Cahn, MRS Bulletin 18, May (1991).
M.W.Finnis and J.E.Sinclair, Phil. Mag. A 50, 45 (1984).
J.R.Smith and D.J.Srolovitz, Modelling Simul. Mater. Sci. Eng. 1, 101 (1992).
G.J.Ackland, G.Tichy, V.Vitek, and M.W.Finnis, Phil. Mag. A 56, 735 (1987).
S.M.Foiles, M.I.Baskes, and M.S.Daw, Phys. Rev. B 33, 7983 (1986).
H.Y.Wang, R.Najafabadi, D.J.Srolovitz, and R.LeSar, Interface Science 1, 7 (1993).
H.Y.Wang, R.Najafabadi, D.J.Srolovitz, and R.LeSar, Interface Science 1, 31 (1993).
S.R. Phillpot, S. Yip, and D. Wolf, Computers in Physics 20, Nov./Dec., (1989).
C.Rey-Losada, M.Hayoun, and V.Pontikis, Mat. Res. Soc. Symp. Proc. 291, 549 (1993).
N.Metropolis, A.W.Rosenbluth, M.N.Rosenbluth, A.H.Teller, and E.Teller, J. Chem. Phys. 21, 1087 (1953).
I.J.Robertson, M.C.Payne, and V.Heine, Europhys. Lett. 15, 301 (1991).
B.Loisel, D.Gorse, V.Pontikis, and J.Lapujoulade, Surf. Sci. 221, 365 (1989).
H.M.Polatoglou, K.Magoutis, and G.L.Bleris, Materials Science Forum 623, 126 (1993).
V.Rosato, M.Guillope, and B.Legrand, Phil. Mag. A 59, 321 (1989).
C.Kittel, in Introduction to Solid State Physics, 5th ed. (John Wiley, New York, 1976).
R.O.Simmons and H.Wang, in Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook (MIT Press, Cambridge Mass, 1971).
S.H.Wei, A.A.Mbaye, L.G.Ferreira, and A.Zunger, Phys. Rev. B 36, 4163 (1987).
U.Walzer, Phys. Stat. Sol. (b) 140, 377 (1987).
P.C.Gehlen, Phys. Rev. 129, 715 (1963).
C.J.Martin and D.A.O'Connor, J. Phys. C 10, 3521 (1977).
P.A.Flinn, G.M.McManus, and J.A.Rayns, J. Phys. Chem. Solids 15, 189 (1960).
A.P.Sutton and J.Chen, Phil. Mag. Lett. 61, 139 (1990).
R.Hultgren, R.L.Orr, P.D.Anderson, and K.K.Kelley, in Selected Values of the Thermodynamic Properties of Metals and Binary Alloys (John Wiley, New York, 1963).
R.Feder, M.Mooney, and A.S.Nowick, Acta Met. 6, 266 (1958).
S.C.Moss, J. Appl. Phys. 12, 3547 (1964).
D.R.Chipman, J. Appl. Phys. 27, 739 (1956).
C.Sykes and F.W.Jones, Proc. Roy. Soc. London, Ser. A 157, 213 (1938).
R.L.Orr, Acta Metall. 8, 489 (1960).
R.L.Orr, J.Luciat-Labry, and R.Hultgren, Acta Metall. 8, 431 (1960).
H.M. Polatoglou, Computational Materials Science, in press; ibid, J. Phys. C Cond. Mat., in press; ibid, Interface Science 2, 67 (1994).
V.S.Sundaram, R.S.Alben, and W.D.Robertson, Surf. Science 46, 653 (1974).
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Polatoglou, H.M., Bleris, G.L. Constant temperature and pressure monte carlo study of the order-disorder transition of Cu3Au. Interface Sci 2, 31–44 (1994). https://doi.org/10.1007/BF00188817
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DOI: https://doi.org/10.1007/BF00188817