Diagram of interacting colloids.
Diagram of three interacting colloids where colloids 1 and 3 are both in contact with colloid 2.
Comparison of theoretical (current theory – solid lines, theory of Kalyuzhnyi et al. 13 – dashed lines), and simulation (symbols) predictions for the monomer fractions X o (blue), fraction of colloids bonded once (red) and fraction bonded twice (green) at packing fractions of η = 0.2 top and η = 0.4 bottom; each with α c = 35°.
Fractions bonded twice in a ring X ring (solid lines – theory, filled symbols – simulation) and twice in a chain X 2c (dashed line – theory, open symbols – simulation) at packing fractions of η = 0.2 (red) and η = 0.4 (black); for each case α c = 35°.
Energy per colloid E* = E/Nk B T at a critical angle α c = 35° and packing fractions η = 0.2 (top) and η = 0.4 (bottom). Symbols are simulation results, solid line is from the current theory Eq. (38) , long dashed line is predictions from the theory of Kalyuzhnyi et al., 13 and short dashed line is TPT1 predictions.
Energy per colloid E* = E/Nk B T as a function of critical angle α c . The packing fraction is fixed at η = 0.3, symbols give simulation results, solid curves give current theory predictions Eq. (38) , and dashed curves are TPT1 predictions. Color code: red represents ɛ* = 5 and black represents ɛ* = 3. Inset gives the simulated fraction of colloids bonded 3 times X 3.
Change in pressure due to association ΔP* for α c = 35° (left) and α c = 45° (right). Symbols give NPT simulation results, solid curves give theoretical predictions from the current work and dashed curves give theoretical predictions using the theory of Ref. 13 .
Numerical results for geometric integrals Γ and Ψ and angles and .
Article metrics loading...
Full text loading...