Two-dimensional colloidal aggregation mediated by the range of repulsive interactions

J. C. Fernández-Toledano, A. Moncho-Jordá, F. Martínez-López, A. E. González, and R. Hidalgo-Álvarez
Phys. Rev. E 75, 041408 – Published 30 April 2007; Erratum Phys. Rev. E 78, 039903 (2008)

Abstract

We study the effect of the interaction’s range on the structural and kinetic properties of a computer-simulated two-dimensional aggregating colloidal system. For this purpose, we considered that the particles of the system interact through a repulsive Yukawa potential which depends on two parameters: the value of the interaction potential between particles in contact V0 and the range of the interaction κd. We observed that the increase of the interaction range or V0 provokes the arrangement of the small aggregates in linear structures. The repulsive interactions have also a strong influence on the kinetic behavior of the coagulation process. Indeed, they induce the formation of three different time-separated aggregation regimes. In the first regime (at early states) the aggregation is dominated by the range of the repulsive forces, and the cluster-cluster repulsion increases with the cluster size. The second regime (at intermediate times) is reached when the average cluster size is larger than the interaction range. Here, the cluster-cluster repulsions do not grow anymore with the cluster size, so the probability of overcoming the repulsive barrier is the same for all clusters. This corresponds with the so-called reaction-limited-cluster-aggregation regime, where more than one collision between the clusters is needed to form a bond. The third aggregation regime is found at long aggregation times. In this region the coagulation is mainly determined by the diffusion time and the kinetics becomes diffusion controlled. A physical interpretation for the transition between chain structures and the typical fractals aggregates from the point of view of the range of the interactions is discussed. Moreover, a method has been developed in order to obtain the effect of the interactions with a non-negligible range over the aggregation rates directly from the simulations. The relation between these different regions with the parameters of the interaction potential V0 and κd is analyzed.

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  • Received 22 December 2006

DOI:https://doi.org/10.1103/PhysRevE.75.041408

©2007 American Physical Society

Erratum

Erratum: Two-dimensional colloidal aggregation mediated by the range of repulsive interactions [Phys. Rev. E 75, 041408 (2007)]

J. C. Fernández-Toledano, A. Moncho-Jordá, F. Martínez-López, A. E. González, and R. Hidalgo-Álvarez
Phys. Rev. E 78, 039903 (2008)

Authors & Affiliations

J. C. Fernández-Toledano1, A. Moncho-Jordá1, F. Martínez-López1, A. E. González2, and R. Hidalgo-Álvarez1

  • 1Grupo de Física de Fluidos y Biocoloides, Departamento de Física Aplicada, Facultad de Ciencias, Campus Fuentenueva S/N, 18071 Granada, Spain
  • 2Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62251 Cuernavaca, Morelos, México

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Vol. 75, Iss. 4 — April 2007

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