Concentration fluctuations and phase transitions in coupled modulated bilayers
Yuichi Hirose, Shigeyuki Komura, David Andelman

TL;DR
This paper models the formation of finite-size lipid domains in bilayers by coupling compositional and order parameters, analyzing fluctuations and phase transitions in coupled modulated bilayers.
Contribution
It introduces a coupled bilayer model with a scalar and vector order parameter, linking microemulsion behavior to lipid domain formation.
Findings
Finite-size domains arise from coupling-induced microemulsion free-energy.
Above transition temperature, concentration fluctuations exhibit specific static and dynamic properties.
Below transition, micro-phase separation leads to distinct structures with characteristic fluctuation behaviors.
Abstract
We consider the formation of finite-size domains in lipid bilayers consisting of saturated and hybrid lipids. First, we describe a monolayer model that includes a coupling between a compositional scalar field and a two-dimensional vectorial order-parameter. Such a coupling yields an effective two-dimensional microemulsion free-energy for the lipid monolayer, and its characteristic length of compositional modulations can be considered as the origin of finite-size domains in biological membranes. Next, we consider a coupled bilayer composed of two modulated monolayers, and discuss the static and dynamic properties of concentration fluctuations above the transition temperature. We also investigate the micro-phase separation below the transition temperature, and compare the micro-phase separated structures with statics and dynamics of concentration fluctuations above the transition.
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