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Domain growth of first-order phase transitions: An exactly solvable model

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Abstract

We consider a simple exactly solvable model of an order-disorder transition: noninteracting interfaces moving with constant speed in one dimension. We obtain a linear increase with time of the average domain size and a weak oscillatory behavior of the scattering structure function.

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References

  1. I. M. Lifshitz and V. V. Slyozov,J. Phys. Chem. Solids 19:35 (1961).

    Google Scholar 

  2. K. Binder, inSystems far from Equilibrium, L. Garrido, ed. (Lecture Notes in Physics, Springer, Berlin, 1980), and references therein.

    Google Scholar 

  3. J. L. Lebowitz, J. Marro, and M. H. Kalos,Acta Metall. 30: 297 (1982), and earlier works quoted therein.

    Google Scholar 

  4. M. Hennion, D. Rouzand, and P. Guyot,Acta Metall. 30:599 (1982).

    Google Scholar 

  5. N. C. Wong and C. M. Knobler,J. Chem. Phys. 69:725 (1978).

    Google Scholar 

  6. C. M. Knobler and N. C. Wong,J. Phys. Chem. 85:1972 (1981).

    Google Scholar 

  7. Y. C. Chou and W. I. Goldburg,Phys. Rev. A 23:858 (1981).

    Google Scholar 

  8. T. Ohta, D. Jasnow, and K. Kawasaki,Phys. Rev. Lett. 49:1223 (1982).

    Google Scholar 

  9. J. D. Gunton, M. San Miguel, and P. S. Sahni, inPhase Transition and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1983).

    Google Scholar 

  10. K. Sekimoto,Physica A (in press).

  11. K. Kawasaki and T. Nagai,Physica 121A:175 (1983).

    Google Scholar 

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Kawasaki, K., Tombesi, P. Domain growth of first-order phase transitions: An exactly solvable model. J Stat Phys 38, 207–215 (1985). https://doi.org/10.1007/BF01017858

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  • DOI: https://doi.org/10.1007/BF01017858

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