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One-dimensional model for microemulsions

Physical Review A, ISSN: 1050-2947, Vol: 44, Issue: 6, Page: 3710-3717
1991
  • 11
    Citations
  • 0
    Usage
  • 4
    Captures
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Metrics Details

  • Citations
    11
    • Citation Indexes
      11
  • Captures
    4

Article Description

In this paper, a model for water-oil-surfactant mixtures, which we have previously studied on two- and three-dimensional lattices, is now studied on a one-dimensional lattice. In this case we are able to obtain exact results, whereas on the higher-dimensional lattices it was necessary to use approximations. This one-dimensional model produces correlation and structure functions that are similar to those obtained for the disordered phase on the two- and three-dimensional lattices. The disorder line is obtained from the water-water correlation function and the Lifshitz line is derived from the water-water structure function. One or the other of these lines is typically used to divide the disordered phase into a region of ordinary disordered fluid and a microemulsion region. Both these lines calculated exactly for the one-dimensional lattice behave similarly to their counterparts on the two- and three-dimensional lattices calculated by various approximations. © 1991 The American Physical Society.

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