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Growth Process of Order Parameter — Block Spin Analysis

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Dynamics of Ordering Processes in Condensed Matter

Abstract

In this paper we study the ordering process of the three-dimensional Ising model of the non-conserving order parameter after a rapid quench from T=∞ to a thermodynamically unstable state by means of Monte Carlo simulation. The temporal evolution of the probability distribution function (PDF) of the magnetization per spin, P(m,t) is investigated. We discuss the qualitative fearures of PDF, the finite-size scaling and the effective potential which governs the evolution of PDF.

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References

  1. S.M. Allen and J.W. Cahn, Acta. Metall. 27, 1085 (1979).

    Article  CAS  Google Scholar 

  2. K. Kawasaki and T. Ohta, Prog. Theor. Phys. 67, 147 (1982).

    Article  CAS  Google Scholar 

  3. G.F. Mazenko, O.T. Vails and F.C. Zhang, Phys. Rev. B31, 4453 (1985).

    Article  CAS  Google Scholar 

  4. J. Vinals, M. Grant, M. San Miguuel, J.D. Gunton and E.T. Gawlinski, Phys. Rev. Lett. 54, 1264 (1985).

    Article  CAS  Google Scholar 

  5. M. Suzuki, Prog. Theor. Phys. 56, 77 (1976); 56, 477 (1976).

    Article  Google Scholar 

  6. K. Binder, Z. Phys. B43, 119 (1981).

    Article  Google Scholar 

  7. K. Kaski, K. Binder and J.D. Gunton, Phys. Rev. B29, 3996 (1984).

    Article  Google Scholar 

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© 1988 Plenum Press, New York

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Kikuchi, M., Okabe, Y. (1988). Growth Process of Order Parameter — Block Spin Analysis. 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_9

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  • DOI: https://doi.org/10.1007/978-1-4613-1019-8_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8295-2

  • Online ISBN: 978-1-4613-1019-8

  • eBook Packages: Springer Book Archive

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