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A Spin Model for Clustering of Amphiphiles in Two Dimensions

Girardi, M. ; Figueiredo, W.

Physica status solidi. A, Applied research, 2001-09, Vol.187 (1), p.195-201

Berlin: WILEY-VCH Verlag Berlin GmbH

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  • Título:
    A Spin Model for Clustering of Amphiphiles in Two Dimensions
  • Autor: Girardi, M. ; Figueiredo, W.
  • Assuntos: 64.60.Ht ; 64.75.+g ; Chemistry ; Colloidal state and disperse state ; Exact sciences and technology ; General and physical chemistry ; General, apparatus, technics of preparation
  • É parte de: Physica status solidi. A, Applied research, 2001-09, Vol.187 (1), p.195-201
  • Notas: istex:44446665D14D20786ACF56967C4E48E5AF637DB3
    ArticleID:PSSA195
    ark:/67375/WNG-KMKFFPZL-X
  • Descrição: In this work we studied a simple spin‐1 model to account for the aggregation properties observed in dilute amphiphilic solutions. We mapped the water and amphiphilic molecules by Ising spin variables with S = 1 . The zero component of the spin S is used to describe the water molecules, while the two other components (±1) account for the amphiphiles. We performed Monte Carlo simulations for two‐dimensional lattices employing Glauber single spin‐flip and a Kawasaki double spin‐exchange dynamics. The energy is given by the usual —JSiSj exchange term and by a contribution in the form —DS2iS2j. In the limit of very low concentration of amphiphiles, we observed the so‐called critical micellar concentration; however, the aggregate distribution curve does not exhibit the local minimum and maximum characteristic of the micellar solution for all values of the parameters D and J. Finally, the model is exactly soluble in one dimension and compared with our two‐dimensional numerical calculations.
  • Editor: Berlin: WILEY-VCH Verlag Berlin GmbH
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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