Self-assembled fluids with order-parameter-dependent mobility: The large-N limit

Abstract

The effect of the order-parameter-dependent mobility, \(\Gamma (\overrightarrow \phi ) \propto \left( {1 - g\tfrac{{\overrightarrow \phi ^2 }}{N}} \right)^\alpha \), on phase-ordering dynamics of self-assembled fluids is studied analytically within the large-N limit. The study is for quenching from an uncorrelated high temperature state into the Lifshitz line within the microemulsion phase. In the later stage of the ordering process, the structure factor exhibits multiscaling behavior with characteristic length scale \((t/\ln t)^{{1 \mathord{\left/ {\vphantom {1 {2\left( {2\alpha + 3} \right)}}} \right. \kern-\nulldelimiterspace} {2\left( {2\alpha + 3} \right)}}} \) The order-parameter-dependent mobility is found to slow down the rate of coarsening.