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Theory of metastable state relaxation for non-critical binary systems with non-conserved order parameter

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  • Izmailov, Alexander F.
  • Myerson, Allan S.

Abstract

A new mathematical ansatz for a solution of the time-dependent Ginzburg-Landau non-linear partial differential equation is developed for non-critical systems such as non-critical binary solutions (solute + solvent) described by the non-conserved scalar order parameter. It is demonstrated that in such systems metastability initiates heterogeneous solute redistribution which results in formation of the non-equilibrium singly-periodic spatial solute structure. It is found how the time-dependent period of this structure evolves in time. In addition, the critical radius rc for solute embryo of the new solute rich phase together with the metastable state lifetime tc are determined analytically and analyzed.

Suggested Citation

  • Izmailov, Alexander F. & Myerson, Allan S., 1993. "Theory of metastable state relaxation for non-critical binary systems with non-conserved order parameter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(1), pages 85-106.
    • Handle: RePEc:eee:phsmap:v:192:y:1993:i:1:p:85-106
    DOI: 10.1016/0378-4371(93)90145-T
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    1. Landauer, Carl, 1965. "Big Business in the Third Reich. By Arthur Schweitzer. Bloomington: Indiana University Press, 1964. Pp. xii, 739. $7.50," The Journal of Economic History, Cambridge University Press, vol. 25(2), pages 293-295, June.
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    Cited by:

    1. Izmailov, Alexander F. & Myerson, Allan S., 1996. "Gravity induced formation of concentration gradients in supersaturated binary solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 503-532.

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