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Updated: Oct 6, 2025

Controlling the Size, Shape and Stability of Supramolecular Polymers in Water
Published on: August 2, 2012
Relaxation of saturated random sequential adsorption packings of discorectangles aligned on a line
Nikolai I Lebovka1, Mykhailo O Tatochenko1, Nikolai V Vygornitskii1
1Laboratory of Physical Chemistry of Disperse Minerals, F. D. Ovcharenko Institute of Biocolloidal Chemistry, NAS of Ukraine, Kyiv 03142, Ukraine.
Abstract:
Relaxation of the packing of elongated particles (discorectangles) aligned on a line was studied numerically. The aspect ratio (length-to-width ratio) for the discorectangles was varied within the range ɛ∈[1;50]. The initial jamming (saturated) state was produced using the basic variant of the random sequential adsorption model with random positions and orientations of particles. The relaxation was performed by allowing rotational and translational diffusion motions of the particles while their centers remained located on the line. The effects of the aspect ratio ɛ on the kinetics of relaxation, the orientation order parameter, and the distribution function of the distances between nearest-neighbor discorectangles were analyzed. The transport properties of the resulting one-dimensional systems were also analyzed by using the diffusion of a tracer particle (random walker) between the nearest-neighbor discorectangles. In the relaxed states the anomalous diffusion was observed having a hopping exponent d_{w}>2 dependent upon ɛ.
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