EFFECTS OF SELF-AVOIDANCE ON THE TUBULAR PHASE OF ANISOTROPIC MEMBRANES

Citation
M. Bowick et E. Guitter, EFFECTS OF SELF-AVOIDANCE ON THE TUBULAR PHASE OF ANISOTROPIC MEMBRANES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(6), 1997, pp. 7023-7032
Citations number
23
ISSN journal
1063651X
Volume
56
Issue
6
Year of publication
1997
Pages
7023 - 7032
Database
ISI
SICI code
1063-651X(1997)56:6<7023:EOSOTT>2.0.ZU;2-H
Abstract
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 particul ar choices of renormalization factors reproduce the Gaussian result, t he Flory theory, and the Gaussian variational treatment of the problem . We then study the perturbative renormalization to one loop in the se lf-avoiding parameter using dimensional regularization and an epsilon expansion about the upper critical dimension, and determine the critic al exponents to first order in epsilon.