A Resolution of the Rouse-Kuhn Paradox

Hp oo should be extremely small. Thus, with Hp being not particularly small, one may regard each segment in a FYaenkel chain as equivalent to a Kuhn segment and the FYaenkel chain as a freely jointed chain, as far as the chain conformation is concerned. 

Appendix 17.A — Application of the Viried Theorem to the FYaenkel Dumbbell 

The average kinetic energy being kT/2 for each degree of freedom is a built-in element of the Langevin equation. For simplicity, we consider the FYaenkel dumbbell case however, the analysis as presented here can be extended to a FYaenkel chain with any number of beads. For a dumbbell, according to the virial theorem K = — = 

8 Fluctuations of the internal kinetic energy for a FVaenkel dumbbell calculated in two different ways as represented by A t) = — -RiCf) and B t) = 

Appendix 17.B — Contribution of the Dynamic Couplings between Different Segments to the Relaxation Modulus 

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