Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes

Details Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes

1997-05-06

arxiv.org/abs/cond-mat/9705045v2

Phys. Rev. E 56 (1997) 7023

Physics

Condensed Matter

Statistical Mechanics

19 pages, TeX, uses Harvmac. Revised Title and updated references: to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.56.7023

We study the tubular phase of self-avoiding anisotropic membranes. We discuss the renormalizability of the model Hamiltonian describing this phase and derive from a renormalization group equation some general scaling relations for the exponents of the model. We show how particular choices of renormalization factors reproduce the Gaussian result, the Flory theory and the Gaussian Variational treatment of the problem. We then study the perturbative renormalization to one loop in the self-avoiding parameter using dimensional regularization and an epsilon-expansion about the upper critical dimension, and determine the critical exponents to first order in epsilon.

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