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

Ulyanov, Mikhail; Smetanin, Yu. G.; Shulga, Mikhail M.; Eserkepov, Andrei V.; Tarasevich, Yuri Yu.

doi:10.1088/1742-6596/1141/1/012137

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Results: Application Of Ma's Methods To a System Of K-mers1

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2021

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“…We can use another definition of a microstate, based on [4]. The 2D sliding window approach was used in this article to investigate the various structural properties of the same system and process that we are studying.…”

Section: Results: Application Of Ma's Methods To a System Of K-mersmentioning

confidence: 99%

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Calculating entropy by Ma’s method for a system of k-mers on a square lattice

Kokosinskii

Ulyanov

2021

J. Phys.: Conf. Ser.

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Random walk of rectangular particles on a square lattice leads to a pattern formation when the hard-core interaction between the particles is assumed. To estimate changes in the entropy during this random walk, we propose a modification of Ma’s method. The 2D sliding window technique was used to divide a system under consideration into subsystems. We used Ma’s “coincidence” method to estimate the total number of possible states for such subsystems. In this study, the accuracy of Ma’s method is studied in a simple combinatory model, both experimentally and theoretically. We determine which definition of “coincidence” for this scheme leads to greater accuracy. Ma’s estimate of the number of possible states for a system of k-mers correlates well with the estimate obtained using a “naive” method.

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Section: Results: Application Of Ma's Methods To a System Of K-mersmentioning

confidence: 99%

“…Therefore, approximations of entropy, that are easier to compute, can help. Different ways to estimate entropy were proposed [1,2,4,5].…”

Section: Introductionmentioning

confidence: 99%