Publication:
From Disorder to Order

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2015-10
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In the physical sciences, order and disorder refer to the presence or absence of some symmetry or correlation in a many-particle system. It follows that it is important to examine whether there is any regularity hidden in the phase transition of the disorder-order relationship. In this paper a series of experiments are devised and executed to reveal the power law relationship between order and disorder, and to determine that the power law is indeed an important regular pattern in the phase transition from disorder to order.
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Ariel, G., O. Rimer, and E. Ben-Jacob. Order-Disorder phase transition in heterogeneous populations of self-propelled particles. J Stat Phys, 2015, 158: 579-588. Watts D.J., P.S. Dodds and M.E.J. Newman. Identity and search in social networks. Science, 2002, 296 (5571): 1302-1305. Woloszyn, M., D. Stauffer, and K. Kulakowski. Order-disorder phase transition in a cliquey social network. European Physical Journal B, 2007, 57 (3): 331-335. Lorinczi J., H.O. Georgii and J.M. Lukkarinen. The continuum Potts model at the disorder Corder transitional study by cluster dynamics. Journal of Statistical Mechanics Theory and Experiment, 2005, 128(1): 62-69. Clauset A. et al. Power-law distributions in empirical data. Siam Review, 2009, 51(4): 661-703.