Mean relaxation rate of the dynamic structure factor of the rouse Chain

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We study the internal autocorrelation function of a Gaussian coil in the free-drainage limit for chains of finite length that are much larger than the size of the monomer and obtain an exact analytic expression for the mean decay rate over the entire qR G range, where q is the scattering vector and R G is the radius of gyration of the coil. The mean decay rate approaches 30π/τ 1 at the low q limit, where τ 1 is the characteristic time of the first mode, and has the predicted q 4 scaling when qR G ≫ 1. At long times, the autocorrelation function decays as a single exponential with rate 2/τ 1 but the transition from multiexponential decay at short times to single-exponential decay at long times is very much dependent on the scattering vector.

Original languageEnglish (US)
Pages (from-to)6693-6698
Number of pages6
Issue number19
StatePublished - Sep 19 2006

All Science Journal Classification (ASJC) codes

  • Materials Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Organic Chemistry


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