Tubular phase of self-avoiding anisotropic crystalline membranes

Mark Bowick, Alex Travesset

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 [Formula Presented] 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 [Formula Presented]. Our most accurate estimates are [Formula Presented] for the Flory exponent and [Formula Presented] for the roughness exponent.

Original languageEnglish (US)
Pages (from-to)5659-5675
Number of pages17
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number5
DOIs
StatePublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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