TY - JOUR
T1 - Tubular phase of self-avoiding anisotropic crystalline membranes
AU - Bowick, Mark
AU - Travesset, Alex
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.59.5659
DO - 10.1103/PhysRevE.59.5659
M3 - Article
C2 - 11969550
AN - SCOPUS:0040392586
VL - 59
SP - 5659
EP - 5675
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 5
ER -