### Abstract

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.

Original language | English |
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Pages (from-to) | 6192-6195 |

Number of pages | 4 |

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

Volume | 59 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1999 Jan 1 |

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### ASJC Scopus subject areas

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

### Cite this

**Theory for the bending anisotropy of lipid membranes and tubule formation.** / Chen, C. M.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Theory for the bending anisotropy of lipid membranes and tubule formation

AU - Chen, C. M.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevE.59.6192

DO - 10.1103/PhysRevE.59.6192

M3 - Article

C2 - 11969606

AN - SCOPUS:0033134363

VL - 59

SP - 6192

EP - 6195

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

ER -