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

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 spa...

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Published in:arXiv.org 2018-09
Main Authors: Ulyanov, Mikhail V, Smetanin, Yuri G, Shulga, Mikhail M, Eserkepov, Andrei V, Yuri Yu Tarasevich
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Language:English
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Computer simulation
Entropy
Random walk
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Smetanin, Yuri G
Shulga, Mikhail M
Eserkepov, Andrei V
Yuri Yu Tarasevich
description 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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subjects Computer simulation
Entropy
Random walk
title Characterisation of diffusion-driven self-organisation of rodlike particles by means of entropy of generalised two-dimensional words
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