Directed Self-Assembly of Colloids on Parallel Layers by a One-Dimensional Modulated Substrate

Herrera-Velarde, Salvador; Delgado-González, Alexandra; Euán-Díaz, Edith C.; Castañeda-Priego, Ramón

doi:10.1166/jon.2012.1011

Cited by 1 publication

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“…31 Particularly, the colloidal particles trapped in parallel lines by linear optical tweezers 9 are a one-dimensional version of our model, in which most of the quantities we have calculated in this paper, and in P1, could be experimentally measured.…”

Section: Discussionmentioning

confidence: 99%

Long-time self-diffusion of charged spherical colloidal particles in parallel planar layers

Contreras-Aburto

Báez

Méndez‐Alcaraz

et al. 2014

The Journal of Chemical Physics

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The long-time self-diffusion coefficient, D(L), of charged spherical colloidal particles in parallel planar layers is studied by means of Brownian dynamics computer simulations and mode-coupling theory. All particles (regardless which layer they are located on) interact with each other via the screened Coulomb potential and there is no particle transfer between layers. As a result of the geometrical constraint on particle positions, the simulation results show that D(L) is strongly controlled by the separation between layers. On the basis of the so-called contraction of the description formalism [C. Contreras-Aburto, J. M. Méndez-Alcaraz, and R. Castañeda-Priego, J. Chem. Phys. 132, 174111 (2010)], the effective potential between particles in a layer (the so-called observed layer) is obtained from integrating out the degrees of freedom of particles in the remaining layers. We have shown in a previous work that the effective potential performs well in describing the static structure of the observed layer (loc. cit.). In this work, we find that the D(L) values determined from the simulations of the observed layer, where the particles interact via the effective potential, do not agree with the exact values of D(L). Our findings confirm that even when an effective potential can perform well in describing the static properties, there is no guarantee that it will correctly describe the dynamic properties of colloidal systems.

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Section: Discussionmentioning

confidence: 99%