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arXiv · 1809.00447

Characterisation of diffusion-driven self-organisation of rodlike particles by means of entropy of generalised two-dimensional words

Mikhail V. Ulyanov·Yuri G. Smetanin·Mikhail M. Shulga·Andrei V. Eserkepov·Yuri Yu. Tarasevich
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Abstract

The experiments conducted by various scientific groups indicate that, in dense two-dimensional systems of elongated particles subjected to vibration, the pattern formation is possible. Computer simulations have evidenced that the random walk of rectangular particles in a discrete two-dimensional space can lead to their self-organisation. We propose a technique for calculating the entropy characteristics of a two-dimensional system in a discrete two-dimensional space consisting of rectangular particles of two mutually perpendicular orientations, and a change in these characteristics for a random walk of particles is investigated.

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Mikhail V. Ulyanov, Yuri G. Smetanin, Mikhail M. Shulga, Andrei V. Eserkepov, Yuri Yu. Tarasevich. 2018-09-03. Characterisation of diffusion-driven self-organisation of rodlike particles by means of entropy of generalised two-dimensional words. https://doi.org/10.1088/1742-6596/1141/1/012137

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