TY - JOUR

T1 - Ginzburg-Landau theory of ternary amphiphilic systems. II. Monte Carlo simulations

AU - Gompper, G.

AU - Kraus, Martin

PY - 1993

Y1 - 1993

N2 - We study interfacial fluctuations in a Ginzburg-Landau model for ternary oil-water-surfactant mixtures by Monte Carlo simulations. Space has to be discretized in order to apply the Monte Carlo method. However, by an appropriate choice of the lattice constant of the background lattice, discretization effects can be largely avoided. Strong fluctuation effects on the phase diagram are observed, which can be explained by a fluctuation-induced lowering of the oil-water interfacial tension. We determine several quantities, which characterize the structure of the microemulsion, such as the internal interfacial area and the Euler characteristic. The microemulsion phase is shown to have a disordered bicontinuous structure. In the lamellar phase, we observe an increase of the interfacial area with increasing separation of the monolayers. A quantitative comparison with the predictions of the effective curvature model of Helfrich [J. Phys. (Paris) 46, 1263 (1985)] yields excellent agreement, when an exponential distance dependence of the interfacial tension is taken into account.

AB - We study interfacial fluctuations in a Ginzburg-Landau model for ternary oil-water-surfactant mixtures by Monte Carlo simulations. Space has to be discretized in order to apply the Monte Carlo method. However, by an appropriate choice of the lattice constant of the background lattice, discretization effects can be largely avoided. Strong fluctuation effects on the phase diagram are observed, which can be explained by a fluctuation-induced lowering of the oil-water interfacial tension. We determine several quantities, which characterize the structure of the microemulsion, such as the internal interfacial area and the Euler characteristic. The microemulsion phase is shown to have a disordered bicontinuous structure. In the lamellar phase, we observe an increase of the interfacial area with increasing separation of the monolayers. A quantitative comparison with the predictions of the effective curvature model of Helfrich [J. Phys. (Paris) 46, 1263 (1985)] yields excellent agreement, when an exponential distance dependence of the interfacial tension is taken into account.

UR - http://www.scopus.com/inward/record.url?scp=0000718724&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.47.4301

DO - 10.1103/PhysRevE.47.4301

M3 - Journal articles

AN - SCOPUS:0000718724

VL - 47

SP - 4301

EP - 4312

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

ER -