First Order Phase Transformations: Scaling Relations for Grain Self-Correlation Functions

  • J. D. Axe
  • S. M. Shapiro
  • Y. Yamada
  • N. Hamaya

Abstract

At high pressure many alkali halides transform from the NaC1 (B1) structure to the CsCl (B2) structure. We have recently studied this transformation in polycrystalline RbI, which transforms at a critical pressure, Pc = 3.5 kbar.1 By observing the time development of the neutron diffraction pattern after sudden increase of hydrostatic pressure from P<Pc to P>Pc we directly deduced X(t), the fraction of the sample converted from metastable to stable phase, as a function of time. We showed that X(t) taken at different P could be approximately scaled onto a universal growth curve by introducing an adjustable characteristic time τ(P) for each curve, such that
(1)
This is demonstrated in Fig. 1.

Keywords

Autocorrelation Function Natural Unit Critical Pressure Scaling Relation Alkali Halide 
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References

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    Y. Yamada, N. Hamaya, J. D. Axe, and S. Shapiro, Phys. Rev. Lett. 53, 1665 (1984).CrossRefGoogle Scholar
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    A. N. Kolmogorov, Bull. Acad. Sci. USSR, Phys. Ser. 3, 335 (1937). This model was also discussed independently by W. A. Johnson and R. F. Mehl, Trans. Am. Inst. Min. Metall. Pet. Eng. 135, 416 (1939) and by M. Avrami, J. Chem. Phys. 7, 1103 (1939); ibid. 8, 212, (1940), and ibid. 9, 177 (1941).Google Scholar
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    For a recent review see J. D. Gunton, M. San Miguel, and P. S. Sahni in “Phase Transitions and Critical Phenomena,” C. Domb and J. L. Lebowitz, ed., Vol. 8, p. 267, Academic Press (1983).Google Scholar
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    J. D. Axe and Y. Yamada, to be published.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • J. D. Axe
    • 1
  • S. M. Shapiro
    • 1
  • Y. Yamada
    • 2
  • N. Hamaya
    • 2
  1. 1.Brookhaven National LaboratoryUptonUSA
  2. 2.Faculty of Eng. Sci.Osaka Univ.Toyonaka, OsakaJapan

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