| Issue |
J. Phys. Colloques
Volume 51, Number C7, Décembre 1990
International Workshop on Geometry and Interfaces
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|
|---|---|---|
| Page(s) | C7-115 - C7-118 | |
| DOI | https://doi.org/10.1051/jphyscol:1990711 | |
International Workshop on Geometry and Interfaces
J. Phys. Colloques 51 (1990) C7-115-C7-118
DOI: 10.1051/jphyscol:1990711
Service de Physique Théorique, CEN Saclay, France
© EDP Sciences 1990
J. Phys. Colloques 51 (1990) C7-115-C7-118
DOI: 10.1051/jphyscol:1990711
RENORMALIZATION GROUP TREATMENT OF ENTROPIC INTERACTIONS IN LAMELLAR PHASES
F. DAVIDService de Physique Théorique, CEN Saclay, France
Abstract
Functional renormalization group is applied to study entropic interactions in lamellar phases consisting in a stack of tensionless fluid membranes. This approach allows to recover Helfrich's formula for the steric free energy of a layer per unit area f(d) = c∞(kBT)2/κd2 (where d is the mean distance between layers) and to estimate analytically the universal coefficient c∞. Our estimate c∞ .0810 is much closer to the estimates extracted from Monte Carlo simulations c∞ ≈ .106 than to the original estimate of Helfrich c∞ = 3π2 / 128.
© EDP Sciences 1990