# Derivation of the Marrucci model from transient-network theory

TL;DR: Many theories about the rheological behaviour of melts and concentrated solutions of high molecular weight polymers are based upon the transientnetwork model, originally developed by Green and Tobolsky, Lodge, and Yamamoto.

Abstract: Many theories about the rheological behaviour of melts and concentrated solutions of high molecular weight polymers are based upon the transientnetwork model, originally developed by Green and Tobolsky [l], Lodge [2], and Yamamoto [ 31. Among these theories a model proposed by Marrucci and coworkers [4,5] turns out to be rather successful [6-111. The basic equations of this model, as formulated in ref. [ 51, are:

## Summary (1 min read)

### G Oi = cnoikT. (35)

- At first sight, this equation differs from (5), since the creation terms in both equations are not of the same form.
- It has been shown that, although introduced originally in a more or less empirical way, eqns.
- Finally it should be noted that the present derivation offers the possibility of detailed comparison of the Marrucci model with other transient-network theories based on different forms of the functions gi and hi in eqn. (23).

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