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Condens. Matter 2017, 2(2), 15; doi:10.3390/condmat2020015

Exploring Cluster Growth Using a Simple Domino Tiling

School of Physical Environmental and Mathematical Sciences, University of New South Wales, Canberra, ACT 2600, Australia
Academic Editor: Antonio Bianconi
Received: 18 March 2017 / Revised: 22 April 2017 / Accepted: 4 May 2017 / Published: 4 May 2017
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Abstract

This paper and its deposited material explore clustering of 2 × 1 dimers (dominoes) subject to simple interactions and temperature. Much of the work in domino tilings has been statistical, combinatoric and thermodynamic in nature. Instead, here, the domino is used as a simple model of a non-spherical molecule to explore aggregation, rather as if the molecules were interacting in solution. As a result, the work does not look at how many ways there are to tile a plane, but at how the cluster evolves with different parameters in the potential that governs the clustering. These parameters include the rules used to select which of the many possible dominoes will be added to the cluster, and temperature. It is shown that qualitative changes in clustering behaviour occur with temperature, including affects on the shape of the cluster, vacancies and the domain structure. View Full-Text
Keywords: domino; dimer; clustering; packing domino; dimer; clustering; packing
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Goossens, D.J. Exploring Cluster Growth Using a Simple Domino Tiling. Condens. Matter 2017, 2, 15.

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