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root/group/tags/start/mdRipple/experiment.tex
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# Content
1 Our idea for developing a simple and reasonable lipid model to study
2 the ripple pahse of lipid bilayers is based on two facts: one is that
3 the most essential feature of lipid molecules is their amphiphilic
4 structure with polar head groups and non-polar tails. Another fact is
5 that dominant numbers of lipid molecules are very rigid in ripple
6 phase which allows the details of the lipid molecules neglectable. In
7 our model, lipid molecules are represented by rigid bodies made of one
8 head sphere with a point dipole sitting on it and one ellipsoid tail,
9 the direction of the dipole is fixed to be perpendicular to the
10 tail. The breadth and length of tail are $\sigma_0$, $3\sigma_0$. The
11 diameter of heads varies from $1.20\sigma_0$ to $1.41\sigma_0$. The
12 model of the solvent in our simulations is inspired by the idea of
13 ``DPD'' water. Every four water molecules are reprsented by one
14 sphere.
15
16
17 Spheres interact each other with Lennard-Jones potential, ellipsoids
18 interact each other with Gay-Berne potential, dipoles interact each
19 other with typical dipole potential, spheres interact ellipsoids with
20 LJ-GB potential. All potentials are truncated at $25 \AA$ and shifted
21 at $22 \AA$.
22
23
24 To make the simulations less expensive and to observe long-time range
25 behavior of the lipid membranes, all simulaitons were started from two
26 sepetated monolayers in the vaccum with $x-y$ anisotropic pressure
27 coupling, length of $z$ axis of the simulations was fixed to prevent
28 the shrinkage of the simulation boxes due to the free volume outside
29 of the bilayer, and a constant surface tension was applied to enable
30 the fluctuation of the surface. Periodic boundaries were used. There
31 were $480-720$ lipid molecules in simulations according to different
32 size of the heads. All the simulations were stablized for $100ns$ at
33 $300K$. The resulted structures were solvated in the water (about
34 $6$DPD water/lipid molecule) as the initial configurations for another
35 $30ns$ relaxation. All simulations with water were carried out at
36 constant pressure ($P=1bar$) by $3D$ anisotropic coupling, and
37 constant surface tension ($\gamma=0.015$). Time step was
38 $50fs$. Simulations were performed by using OOPSE package.