Characterisation of diffusion-driven self-organisation of rodlike particles by means of entropy of generalised two-dimensional words
arXiv:1809.00447 · doi:10.1088/1742-6596/1141/1/012137
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.
arXiv comment6 pages, 5 figures, presented at 7th International Conference on Mathematical Modeling in Physical Sciences, August 27-31, 2018, Moscow, Russia; to be published in J.Phys.Conf.Ser
References in corpus (8)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Granular materials composed of shape-anisotropic grains
- Ordering in granular rod monolayers driven far from thermodynamic equilibrium
- Clustering in vibrated monolayers of granular rods
- Entropy-driven phase transition in a system of long rods on a square lattice
- Diffusion-driven self-assembly of rod-like particles: Monte Carlo simulation on a square lattice
- Pattern formation in a two-dimensional two-species diffusion model with anisotropic nonlinear diffusivities: a lattice approach
- Diffusion dynamics and steady states of systems of hard rods on the square lattice