Polymers at the Θ-point on fractals : results of Flory approximations

S. L. A. de Queiroz; F. Seno; A. L. Stella

doi:doi:10.1051/jp1:1991136

Numéro		J. Phys. I France Volume 1, Numéro 3, March 1991


Page(s)		339 - 349
DOI		https://doi.org/10.1051/jp1:1991136

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)

Abstract
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.

Polymers at the -point on fractals : results of Flory approximations

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