Abstract
A model describing the phase transition from the L~ or Lp phase to the modulated Pp rippled phase in a bilayer membrane is considered within mean-field approximation. The coupling between the curvature and the asymmetry in the area per molecule can destabilize the flat phase by releasing its frustration energy. We obtain the pressure-temperature phase diagram which qualitatively accounts for part of the pressure experiment of DPPC in excess water. The existence of the modulated structure within our model is also confirmed by a cell dynamical simulation.
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