Sequential quenching of randomly deposited ellipsoids: Anisotropy and spatial patterns
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We studied the sequential quenching of prolate ellipsoids on a homogeneous surface by using our proposed pair potential whose repulsive part was that of hard ellipses and attractive part was the black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml11&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=847afeb29b0e26c8c315607016f03d45"" title=""Click to view the MathML source"">r−6 pairwise attraction. Both the strength and range parameters for the attraction were functions of the orientations of the pair of ellipses and related by black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml12&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=684f41ef964f51f836046bc3fa658d6e"" title=""Click to view the MathML source"">εσλ. The parameter λ determines the relative strength of the side-by-side and end-to-end attractions and thus plays an important role in determining the alignment of the particles. We adopted the value black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml13&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=5944e1b1342a005cbd2d3412a3e59888"" title=""Click to view the MathML source"">λ=2.19 by using point-energy additivity to compute the minimum energies for both of these configurations for a pair of ellipsoids of revolution with aspect ratio of 2:1. We investigated the effect of temperature and the parameter λ on the alignments of ellipses. Both radial distribution function, black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml14&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=63c176439e93943275381cce8fe70543"" title=""Click to view the MathML source"">g(r), and orientational correlation function, black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml15&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=0fec4d7f2a22631d0d6bfd1421bf379a"" title=""Click to view the MathML source"">G(r), show the expected longer ranges of orientational correlation at lower temperatures and show higher degree of orientational order for black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml16&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=0c36d216e07c7a8aac00ad630c20b96f"" title=""Click to view the MathML source"">λ=3.5 than black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml17&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=09a782e310b6ef784555a7f929a87966"" title=""Click to view the MathML source"">λ=2.19 and 0.10. This can also be seen in the examples of configurations showing that for black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml18&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=c8b8274ad8e7340089bd96092f3c8e1a"" title=""Click to view the MathML source"">λ=3.5, ellipses are more aligned than black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WHR-4K96SBG-1&_mathId=mml19&_user=10&_cdi=6857&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=36f6e4e031a7fd5dfc7e3754115be5d5"" title=""Click to view the MathML source"">λ=2.19 and 0.1.

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