File Name : fig_s01.eps

Caption : grandpotential density profiles for lipid bilayers with variations in $\chi_{c_{w}t}$ (a), in $\chi_{c_{g}w}$ (b) and in $\chi_{c_{h}w}$ (c). solid black line: $\chi_{c_{t}w} = 1.0$; dashed black line: $\chi_{c_{t}w} = 1.5$; solid red line: $\chi_{c_{g}w} = 1.0$; dashed red line: $\chi_{c_{g}w} = 1.5$; solid blue line: $\chi_{c_{h}w} = 0.4$; dashed blue line: $\chi_{c_{h}w} = 0.9$;

File Name : fig_s02.eps

Caption : $d_{nn}$ as a function of $\chi_{c_{t}w}$ (a) and $\chi_{c_{h}w}$ (b). for (a) we display the results for various tail lengths: green: $l_t = 12$ c segments, blue: 14 segments, purple: 16 segments, red: 18 segments, orange: 20 segments.