Appendix 5—table 1. Characteristics of the flat inactive core and active shell for different regimes effective solvent regime.

The effective second and third virial coefficients are $v_{\eta }=(v+{(1+2\eta )}^2)/{(1+\eta )}^2$ and $w_{\eta }={(1+2\eta )}^3/{(1+\eta )}^3$, respectively. In the table we use the following dimensionless quantities: the extension of the active brush, ${\lambda }_{\mathrm{A}}=L_{\mathrm{A}}/a$, the extension of the inactive blocks, ${\lambda }_{\mathrm{B}}=L_{\mathrm{B}}/a$, the surface area per block $\sigma =s/a^2$, and the interfacial tension, $\alpha =\gamma a^2/(k_{\mathrm{B}}T)$.

Poor solvent	Good solvent	Theta solvent
${\displaystyle {\lambda }_{\mathrm{A}}^{\mathrm{c}}\approx {\displaystyle \frac{1}{2^{1/3}{3}^{2/3}}}{\displaystyle \frac{N_{\mathrm{A}}^{2/3}{w}_{\eta }^{1/3}{\alpha }^{1/3}}{{|v_{\eta }|}^{1/3}}}}$	${\displaystyle {\lambda }_{\mathrm{A}}^{\mathrm{e}}\approx {\displaystyle \frac{1}{2^{4/5}{3}^{2/5}}}{N}_{\mathrm{A}}^{4/5}{v_{\eta }}^{1/5}{\alpha }^{1/5}}$	${\displaystyle {\lambda }_{\mathrm{A}}^{\mathrm{\Theta }}\approx {\displaystyle \frac{1}{2^{5/8}{3}^{1/2}}}{N}_{\mathrm{A}}^{3/4}{w}_{\eta }^{1/8}{\alpha }^{1/4}}$
${\displaystyle {\lambda }_{\mathrm{B}}^{\mathrm{c}}\approx {\displaystyle \frac{3^{1/3}}{2^{4/3}}}{\displaystyle \frac{N_{\mathrm{B}}|v_{\eta }{|}^{2/3}{\alpha }^{1/3}}{N_{\mathrm{A}}^{1/3}{w}_{\eta }^{2/3}{\varphi }_{\mathrm{B}}}}}$	${\displaystyle {\lambda }_{\mathrm{B}}^{\mathrm{e}}\approx {\displaystyle \frac{1}{2^{2/5}{3}^{1/5}}}{\displaystyle \frac{N_{\mathrm{B}}{\alpha }^{3/5}}{N_{\mathrm{A}}^{3/5}{v_{\eta }}^{2/5}{\varphi }_{\mathrm{B}}}}}$	${\displaystyle {\lambda }_{\mathrm{B}}^{\mathrm{\Theta }}\approx {\displaystyle \frac{1}{2^{3/4}}}{\displaystyle \frac{N_{\mathrm{B}}{\alpha }^{1/2}}{N_{\mathrm{A}}^{1/2}{w}_{\eta }^{1/4}{\varphi }_{\mathrm{B}}}}}$
${\displaystyle {\sigma }^{\mathrm{c}}\approx {\displaystyle \frac{2^{1/3}}{3^{1/3}}}{\displaystyle \frac{w_{\eta }^{2/3}{N}_{\mathrm{A}}^{1/3}}{{|v_{\eta }|}^{2/3}{\alpha }^{1/3}}}}$	${\displaystyle {\sigma }^{\mathrm{e}}\approx {\displaystyle \frac{3^{1/5}}{2^{3/5}}}{\displaystyle \frac{N_{\mathrm{A}}^{3/5}{v_{\eta }}^{2/5}}{{\alpha }^{3/5}}}}$	${\displaystyle {\sigma }^{\mathrm{\Theta }}\approx {\displaystyle \frac{1}{2^{1/4}}}{\displaystyle \frac{N_{\mathrm{A}}^{1/2}{w}_{\eta }^{1/4}}{{\alpha }^{1/2}}}}$