### 摘要

We study the spontaneous symmetry breaking of the bending rigidity of lipid membranes in two principal directions by a Landau mean-field theory. When the temperature is below the tilting temperature [Formula Presented], the coupling between molecular orientation and membrane local curvature square leads to an increase of the bending rigidity in the tilting direction and therefore a spontaneous symmetry breaking in two principal directions. The asymmetry [Formula Presented] of the bending rigidity undergoes a continuous change upon cooling and grows as [Formula Presented] for [Formula Presented] We discuss this anisotropical effect on the tilt structure of the ripple phase [Formula Presented] of a nearly flat membrane and the sphere-to-tubule transition in a dilute solution of lipids. The transition between the spherical vesicle phase and the tubular phase is predicted to be first order.

原文 | 英語 |
---|---|

頁（從 - 到） | 6192-6195 |

頁數 | 4 |

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

卷 | 59 |

發行號 | 5 |

DOIs | |

出版狀態 | 已發佈 - 1999 一月 1 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)