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In search of the Griffiths shield region

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Abstract

The van der Waals equation of state for binary mixtures has been used to determine the location and shape of the Griffiths shield region (where three tricritical lines intersect). If one takes the geometric mean fora 12, the arithmetic mean forb 12, and the configurational free energy as ideal, the center of the Griffiths shield region is found only when the ratio of molecular sizes is infinite. When the Flory equation for the configurational free energy for mixtures of chain molecules is substituted for the ideal form, the results appear to be somewhat different. However, for all the cases studied, with systems which approach geometric mean behavior one finds the shield region only when the ratio of molecular size is very large and when the internal pressure of the small molecule is very much greater than that of the long-chain molecule.

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Author notes

  1. I -Chien Wei

    Present address: Department of Chemistry, Wright State University, 45435, Dayton, Ohio

Authors and Affiliations

  1. Department of Chemistry and Biochemistry, University of California, 90024, Los Angeles, California

    I -Chien Wei & Robert L. Scott

Authors
  1. I -Chien Wei
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  2. Robert L. Scott
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Additional information

This paper is dedicated to our colleague Howard Reiss on the occasion of his 66th birthday.

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Wei, I.C., Scott, R.L. In search of the Griffiths shield region. J Stat Phys 52, 1315–1324 (1988). https://doi.org/10.1007/BF01011649

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