On hereditary models of polymers

Details On hereditary models of polymers On hereditary models of polymers

2012-03-02

arxiv.org/abs/1203.0472v1

Symposium on Trends in Applications of Mathematics to Mechanics, STAMM. 2002. (pp. 33-38). Rionero, Romano Ed. Springer Verlag

Physics

Condensed Matter

Materials Science

Cnference :Trend and Application of mathematics to Mechanics STAMM

Scientific paper

An equivalence between an integro-differential operator M and an evolution operator Ln is determined. From this equivalence the fundamental solution of Ln is estimated in terms of the fundamental solution related to the third-order operator L1 whose behavior is now available. Moreover, properties typical of wave hierarchies can be applied to polymeric materials. As an example the case n= 2 is considered and results are applied to the Rouse model and the reptation model which describe different aspects of polymer chains.

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