Title

The Tubular Phase of Self-Avoiding Anisotropic Crystalline Membranes

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Alex Travesset, Syracuse University

Document Type

Article

Date

8-19-1998

Language

English

Disciplines

Physics

Description/Abstract

We analyze the tubular phase of self-avoiding anisotropic crystalline membranes. A careful analysis using renormalization group arguments together with symmetry requirements motivates the simplest form of the large-distance free energy describing fluctuations of tubular configurations. The non-self-avoiding limit of the model is shown to be exactly solvable. For the full self-avoiding model we compute the critical exponents using an epsilon-expansion about the upper critical embedding dimension for general internal dimension D and embedding dimension d. We then exhibit various methods for reliably extrapolating to the physical point (D=2,d=3). Our most accurate estimates are nu=0.62 for the Flory exponent and zeta=0.80 for the roughness exponent.

Additional Information

38 pages, 31 Postscript figures, uses epsf More information at http://arxiv.org/abs/cond-mat/9808214

Recommended Citation

Bowick, Mark and Travesset, Alex, "The Tubular Phase of Self-Avoiding Anisotropic Crystalline Membranes" (1998). Physics - All Scholarship. 164.
https://surface.syr.edu/phy/164

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.