- Autor(in)
- Referenz
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10 K. Binder, H. Müller-Krumbhaar, Phys. Rev. B 9 (1974) 2328
11 M. E. Fisher, Physics 3 (1967) 255
12 J. M. Ball, J. Carr, J. Stat. Phys. 61 (1990) 203
13 F. Kuhrt, Z. Physik 131 (1951) 185
14 F. Kuhrt, Z. Physik 131 (1951) 205
15 J. Feder, K. C. Russel, J. Lothe, G. M. Pound, Advan. Phys. 15 (1966) 111
16 J. Carr, F. P. da Costa, ZAMP 43 (1992) 974
17 F. P. da Costa, PhD-Thesis, Heriot-Watt University, Edinburgh 1993
18 M. Kreer, in preparation
19 J. B. McLeod, Q. J. Math. 13 (1962) 119
1 O. Penrose, J. L. Lebowitz, Towards a rigorous molecular theory of metastability, in: Studies in Statistical Mechanics VII (Fluctuation Phenomena), E. W. Montroll, J. L. Lebowitz (eds.), North-Holland, Amsterdam 1976, 1987
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21 P. Hartman, Ordinary Differential Equations, Wiley, Baltimore 1973
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24 G. L. Sewell, Quantum Theory of Collective Phenomena, Clarendon Press, Oxford 1986
25 R. Schonman, Reprint
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27 E. Olivieri, private communication
2 R. Becker, W. Döring, Ann. Physik 24 (1935) 719
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4 J. Frenkel, Kinetic theory of liquids, Oxford University Press, London 1946
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9 M. Kreer, Ann. Physik 2 (1993) 398
- Seitenbereich
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0720 - 0737
- Schlagwort(e)
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<KWD>Dynamics of first-order phase transitions
Generalized nucleation theories
Infinite systems of ordinary differential equations
Nonequilibrium thermodynamics
- Zusammenfsg.
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The infinite set of cluster equations, proposed by Binder and Müller-Krumbhaar for a Glauber kinetic Ising ferromagnet in 1974, generalize the Becker-Döring equations used in classical nucleation theory. For positive symmetric transition rates satisfying certain growth conditions and a detailed balance condition we prove for sufficiently fast decaying initial cluster distributions the existence of a positive cluster distribution with finite density for all finite times solving the cluster equations. Uniqueness is proven under some further conditions on the transition rates. Our existence and uniqueness results apply e.g. for a Glauber kinetic Ising ferromagnet in two dimensions.
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- Forschungsartikel