Rapid coagulation of polystyrene particles investigated by single-particle laser light scattering

Brownian Dynamics Simulation of Aggregation Kinetics of Hard Spheres with Flexible Bonds

“…[18] Note that this rate constant is singular due to the second term, the initial transient, at t = 0, but the number of particles that disappears remains finite. Using [16] and [18] we find…”

“…At infinity the density is z 0 , at the interaction radius, the diameter d of the central particle, there is a (nonstationary) flux [15] that describes their disappearance. As this is true for each particle, their overall disappearance is given by [16] so the density at infinity around the central sphere is dropping. When we define z(t) = z 0 g(t), substitute this in [14], and use [16], we find for the pair correlation function g…”

“…As this is true for each particle, their overall disappearance is given by [16] so the density at infinity around the central sphere is dropping. When we define z(t) = z 0 g(t), substitute this in [14], and use [16], we find for the pair correlation function g…”

“…5, symbol ᭺), but we have no trustful estimate for the statistical error. Lower values for k S are commonly found in experiments (16,17,23,24), and are normally addressed to a remaining short-range (effective) repulsion between the aggregating particles, because of incomplete destabilization (e.g., remaining charges) or hydrodynamic pair interaction (lubrication). As we have neither effect in our model, these cannot be the cause of the discrepancy found.…”

“…However, very little detail is given about the simulation method used. Diffusion-limited aggregation of an initially monodisperse suspension is well modeled by a constant kernel during the early stages of the reaction (14,16,17). In experiments one usually finds lower rates, by a factor of about 2, that could be attributed to short-range hydrodynamic repulsion.…”