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End-point distribution and structure function of polymers

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  • Lam, P.M.
  • Family, F.

Abstract

The coefficients in the expansion of the structure function S(k) as small momentum transfer k can be related to universal ratios 〈r2m〉/〈r2〉m, and 〈r2n〉 = (l/N2)σNMn 〈(Rm−Rn)2n 〉. where Rm denotes the position of monomer m. N is the monomer number and the average is taken over the configurations of the polymer. We show that the moments 〈r3m〉 calculated using the end-point distribution PN(r) = AN(r/Nnr0)nexp[−(r/r0Nn)n]. where r is the correlation length exponent. σ = (1−v)−1, and AN a normalization constant give universal ratios in disagreement with Monte Carlo results in two and three dimensions.

Suggested Citation

  • Lam, P.M. & Family, F., 1991. "End-point distribution and structure function of polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(2), pages 223-231.
    • Handle: RePEc:eee:phsmap:v:171:y:1991:i:2:p:223-231
    DOI: 10.1016/0378-4371(91)90274-G
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    1. Michael Hurd, 1980. "A Compensation Measure of the Cost of Unemployment to the Unemployed," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 225-243.
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