The tubular phase of self-avoiding anisotropic crystalline membranes

Details The tubular phase of self-avoiding anisotropic crystalline membranes The tubular phase of self-avoiding anisotropic crystalline membranes

1998-08-19

arxiv.org/abs/cond-mat/9808214v1

Phys. Rev. E59 (1999) 5659

Physics

Condensed Matter

Soft Condensed Matter

38 pages, 31 Postscript figures, uses epsf

Scientific paper

10.1103/PhysRevE.59.5659

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.

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