Figure 10. Stability diagram of a multi-drop system for varying forward rate constant k and drop radius R. A steady state exist within the continuous curve. Outside this region all drops dissolve (downward arrows). Outside the grey region, drops are unstable against Ostwald ripening and coarsen (upward arrows). In the grey region drops are stable against Ostwald ripening. The stability-instability boundary is shown by a dashed curve. The analytical results for the critical radii in the small drop regime are showed by the upper dotted line (Ru, Eq. (14)) and lower dotted line (Rl). The analytical results for the critical rates kc, kl and ku (Eqs (15), (20) and (21)) are showed by arrows. Large drops dissolve beyond ku, all drops dissolve beyond kc, and large drops are stable against Ostwald ripening beyond kl. The large drop regime is coloured in blue and the boundary between the large and the small drop regime is R = ξ (Eq. (11)). Parameters: h = 10−2s−1, lc = 10−2µm, D = 1µm2s−1, P̂in = 10 −1ν−1, P̂out = 10−4ν−1, φ = 5 × 10−4ν−1, where ν is the molecular volume of P and S and can be chosen arbitrarily. Reprinted figure with permission from [Wurtz J.D. and Lee C.F., Physical Review Letters, vol. 120, 078102, 2018]. Copyright (2018) by the American Physical Society.
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