A renormalisation group approach to the entropy of a single polymer
- 1 July 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (7) , 1797-1813
- https://doi.org/10.1088/0305-4470/14/7/034
Abstract
Employing the n to 0 field theoretic analogue the authors derive renormalisation group equations directly for the polymer system which may be solved to exhibit the scaling behaviour of the entropy S(L) of a single polymer of L links. An elegant parametric representation of the crossover from random flight to self-avoiding behaviour as the chain length L or expansion factor alpha =(R2)/(R2)theta increases is described, for which explicit representations are constructed to O( epsilon 2) in the epsilon expansion. In the asymptotic domain alpha >>1 or L>>1 the expected scaling behaviour is observed.Keywords
This publication has 5 references indexed in Scilit:
- Parametric representation of the dilute polymer system to O(ϵ2): crossover from Wilson-Fisher to gaussian fixed point as the Flory temperature is approachedJournal of Physics C: Solid State Physics, 1980
- Renormalisation group calculation of the second virial coefficient of a polymer solution to order epsilon2in d=4-ϵ dimensionsJournal of Physics A: General Physics, 1978
- Polymers and scalingPhysics Reports, 1976
- On the absence of flory terms in the energy and in the entropy of a polymer chainJournal de Physique, 1976
- The theory of polymer solutions at intermediate concentrationProceedings of the Physical Society, 1966