JournalsifbVol. 14, No. 1pp. 65–103

Phase transitions in presence of surfactants: From discrete to continuum

  • Roberto Alicandro

    Università degli Studi di Cassino, Italy
  • Marco Cicalese

    Università degli Studi di Napoli Federico II, Italy
  • Laura Sigalotti

    Università di Roma "La Sapienza", Italy
Phase transitions in presence of surfactants: From discrete to continuum cover
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Abstract

We study by Γ\Gamma-convergence the discrete-to-continuum limit of the Blume–Emery–Griffiths model describing the phase transition of a binary mixture in presence of a third surfactant phase. In the case of low surfactant concentration we study the dependence of the surface tension on the density of the surfactant and we describe the microstructure of the ground states. We then consider more general (n-dimensional) energies modeling phase transitions in presence of different species of surfactants and, in the spirit of homogenization theory, we provide an integral representation result for their Γ\Gamma-limit. As an application we study the ground states of these systems for prescribed volume fractions of the phases.

Cite this article

Roberto Alicandro, Marco Cicalese, Laura Sigalotti, Phase transitions in presence of surfactants: From discrete to continuum. Interfaces Free Bound. 14 (2012), no. 1, pp. 65–103

DOI 10.4171/IFB/274