1997/05/31 by Mark J. Bowick, Mark Bowick, Emmanuel Guitter · 3 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Lipid Membrane Structure and Behavior #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.56.7023
published as Phys. Rev. E 56 (1997) 7023 · 19 pages, TeX, uses Harvmac. Revised Title and updated references: to appear in Phys. Rev. E
arxiv created 1997/09/25 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study the tubular phase of self-avoiding anisotropic membranes. We discuss the renormalizability of the model Hamiltonian describing this phase, and from a renormalization group equation derive 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 \ensuremathε expansion about the upper critical dimension, and determine the critical exponents to first order in \ensuremathε.