Effects of SelfAvoidance on the Tubular Phase of Anisotropic Membranes.pdfVIP

T97/036, SU-4240-660 7 9 9 1 p e S Effects of Self-Avoidance on the Tubular Phase of 5 2 Anisotropic Membranes ] h c e m - t M. Bowick, a t s t. Physics Department, Syracuse University, a m Syracuse NY 13244-1130, USA - d E. Guitter n o c CEA, Service de Physique Th´eorique de Saclay, [ F-91191 Gif sur Yvette Cedex, France 2 v 5 4 0 5 We study the tubular phase of self-avoiding anisotropic membranes. We discuss the 0 renormalizability of the model Hamiltonian describing this phase and derive from a renor- 7 9 malization group equation some general scaling relations for the exponents of the model. / We show how particular choices of renormalization factors reproduce the Gaussian result, t a m 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 dimen- d sional regularization and an ǫ-expansion about the upper critical dimension, and determine n o the critical exponents to first order in ǫ. c : v i X r a email: bowick@, guitter@spht.saclay.cea.fr 1. Introduction The statistical mechanics of isotropic tethered membranes has been extensively stud- ied [1,2]. In a recent paper Radzihovsky and Toner (RT) [3] showed that intrinsically anisotropic tethered membranes are surprisingly rich systems. In particular they exhibit an intermediate tubule phase between the crumpled and flat phases typical of isotropic tethered membran