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Accurate calculation of functions used in a model of the nematic behavior of self-assembling systems

Author: Alan E. Berger
Journal: Math. Comp. 54 (1990), 313-330
MSC: Primary 65D20; Secondary 65B10, 82A57
MathSciNet review: 990597
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Abstract: An algorithm used to evaluate double sums arising in a model describing the nematic phase behavior of surfactant solutions is demonstrated to yield approximations accurate to within a tenth of a percent. When direct summation would converge slowly, an asymptotic result is employed based on a double application of the Euler-Maclaurin sum formula.

References [Enhancements On Off] (What's this?)

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  • [2] I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, Academic Press, New York, 1980.
  • [3] J. Herzfeld, Liquid crystalline order in self-assembling systems: orientation dependence of the particle size distribution, J. Chem. Phys. 88 (1988), 2776-2779.
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Keywords: Asymptotics, double sums, Euler-Maclaurin formula, exponential integral function, nematic, phase behavior, surfactant, self-assembling
Article copyright: © Copyright 1990 American Mathematical Society

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