Theoretical analysis demonstrates a stable multilamellar onion phase in pure lamellar systems, indicating that negative Gaussian curvature modulus drives equilibrium vesicle packing.
We demonstrate the possibility of a stable equilibrium multi-lamellar ("onion") phase in pure lamellar systems (no excess solvent) due to a sufficiently negative Gaussian curvature modulus. The onion phase is stabilized by non-linear elastic moduli coupled to a polydisperse size distribution (Apollonian packing) to allow space-filling without appreciable elastic distortion. This model is compared to experiments on copolymer-decorated lamellar surfactant systems, with reasonable qualitative agreement.
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Ramos et al. (2004) studied this question.
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