0 1 2 3 4 5 6 7 8 9 10 11 12 r/R$_{1}$ 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 L=4 R$_{1}$ L=6 R$_{1}$ L=8 R$_{1}$ L=12 R$_{1}$ Figure 2: Volume fraction ( φ ≡ (4 / 3) πR 3 $_{2}$c (where c is concentration))of solute particles surrounding a motile-chucker ( R$_{1}$/R$_{2}$ = 10 ) with k$_{c}$R 2 $_{1}$/D$_{2}$ = 600 ( k$_{c}$ = 0 . 001[ MCcycles ] − $^{1}$) and various box size L . 22