Branched polymers in a wedge geometry in three dimensions |
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Authors: | D S Gaunt S A Colby |
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Institution: | (1) Department of Physics, King's College, WC2R 2LS London, UK;(2) Present address: Easams Ltd, GUI6 5EX Camberley, Surrey, UK |
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Abstract: | We investigate the statistical and dimensional properties of uniform star polymers attached by the branching vertex of degreef in a wedge geometry in three dimensions and described by the wedge angles and . We show that the growth constant is equal to
f
, where is the self-avoiding walk limit. Thef and ( , ) dependences of the corresponding critical exponent
f
( , ) are studied using Monte Carlo techniques. In the casef=1, our results are compared with existing predictions obtained from series expansion and renormalization group methods. We have also estimated the amplitudes for the mean square radius of gyration and the mean square end-to-end branch length. Our results for the ratio of the mean square radius of gyration of anf-star to that of a linear polymer of the same degree of polymerization attached in a similar wedge, and the analogous ratio for the mean square end-to-end branch length, are consistent with these ratios being lattice-independent quantities. |
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Keywords: | Uniform star polymers three-dimensional wedge geometry growth constant Monte Carlo critical exponents |
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