J. Phys. I France
Volume 1, Number 3, March 1991
Page(s) 339 - 349
DOI: 10.1051/jp1:1991136
J. Phys. I France 1 (1991) 339-349

Polymers at the $\mathsf{\Theta}$-point on fractals : results of Flory approximations

S. L. A. de Queiroz1, F. Seno2 and A. L. Stella3

1  Department of Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, G.B.
2  Dipartimento di Fisica dell'Università di Padova, Via Marzolo 8, I-35131 Padova, Italy
3  Dipartimento di Fisica dell'Università di Bologna, Via Irnerio 46, I-40126 Bologna, Italy

(Received 13 June 1990, revised 9 November 1990, accepted 26 November 1990)

We consider the problem of establishing Flory-like formulas for the $\nu$-exponent of polymer chains on fractals. For the $\Theta$-regime the short-range screening of three-body interactions, together with scale-invariance arguments, is invoked, producing a Flory formula with very good results. We briefly consider the extension of such arguments to branched polymers at the $\Theta$-point.

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