Abstract
The principle of equilibrium statistical mechanics is well established. Backed by the basic physics of quantum mechanics, the mathematics of it is the probability theory. One consequence is that the macroscopic state is the one for the largest probability of appearance.
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References
L. Boltzmann, Epitaph on his tombstone, Ehrenfriedhof, Wien, Austria. In Boltmann’s epitaph it is written as S = k. log W.
R. Kikuchi, Prog. Th. Phys., Suppl. No. 35 (1966) p. 1.
R. Kikuchi, “The CVM calculations of phase diagrams” in Computer Mode1ing of Phase Diagrams (Ed., L.H. Bennett, Met. Soc., Inc., Warrendale, PA) p. 49 (1986).
R. Kikuchi and S.G. Brush, J. Chem. Phys. 47, 195 (1967).
A. G. Schlijper, Phys. Rev. B27, 6841 (1983).
R. Kikuchi, J. Chem. Phys. 47., (1967) 1664.
J.W. Cahn, Acta Metall. 10, 907 (1962).
J.W. Cahn and J. Hilliard, J. Chem. Phys. 28 258 (1958).
R. Kikuchi and J.W. Cahn, Acta Met. 27, 1337 (1978).
R. Kikuchi and J.W. Cahn, Phys. Rev. B21, 1893 (1980).
R. Kikuchi and H. Sato, Acta Met. 22, 1099 (1974).
K. Gschwend, H. Sato and R. Kikuchi, J. Chem. Phys. 69, 5006 (1978).
R. Kikuchi, Phys. Rev. 124, 1682 (1961).
TJshikawa, K. Wada, H. Sato and R. Kikuchi, Phys. Rev. A33, 4164 (1986).
K. Wada, T. Ishikawa, H. Sato and R. Kikuchi, Phys. Rev. A33, 4171 (1986).
R. Kikuchi, “Derivatives of the Cluster Growth Equations Using the Path Probability Method,” Hughes Research Laboratories Research Report No. 353 (1966). Unpublished.
R. Kikuchi, Crystal Growth (Suppl. to J. Phys. Chem. Solids) p. 605 (1967).
R. Kikuchi, J. Chem. Phys. 4I, 1646 and 1653 (1967).
R. Kikuchi, J. Phys. Soc. Japan 26, Suppl. 136 (1969).
R. Kikuchi,Hughes Research Laboratories Research Report NOS. 391-394 (1968).
R. Kikuchi, Phys. Rev. B22, 3784 (1980).
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© 1988 Plenum Press, New York
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Kikuchi, R. (1988). Atom Migration Dynamics in Crystals. In: Komura, S., Furukawa, H. (eds) Dynamics of Ordering Processes in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1019-8_3
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DOI: https://doi.org/10.1007/978-1-4613-1019-8_3
Publisher Name: Springer, Boston, MA
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