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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., 6 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

The objects of the article are finite 2D words over a finite alphabet. An efficient method for calculating the entropy function of 2D words is proposed. The algorithm adapts the window size. Possible applications of the entropy of finite 2D words in various domains are considered. Some recommendations concerning the choice of efficient policies of configuration storage.