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The free energy increment due to the electrostatic repulsive potential in multilayer membrane system is investigated. The analysis based on the membrane-membrane distance distribution function shows the free energy increment per unit volume is proportional to ρ 4 , where ρ is the membrane density. Comparing with the mean field estimation for the electrostatic repulsive potential effect, this free energy increment is quite large. To verify the ρ 4 behavior of the free energy increment, a Monte Carlo calculation based on the solid-on-solid membrane model was performed. The Monte Carlo result supports the ρ 4 behavior. This shows the validity of the analysis based on he membrane-membrane distance distribution function.

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