Scaling of Selfavoiding Tethered Membranes: 2-Loop Renormalization Group Results
arXiv:cond-mat/9602125 · doi:10.1103/PhysRevLett.76.4564
Abstract
The scaling properties of selfavoiding polymerized membranes are studied using renormalization group methods. The scaling exponent νis calculated for the first time at two loop order. νis found to agree with the Gaussian variational estimate for large space dimension d and to be close to the Flory estimate for d=3.
4 pages, RevTeX + 20 .eps files
References in corpus (2)
Cited by in corpus (24)
- The Statistical Mechanics of Membranes
- Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes
- Universality Classes of Self-Avoiding Fixed-Connectivity Membranes
- First-order phase transition in the tethered surface model on a sphere
- Statistical mechanics of thin spherical shells
- First-order phase transition of fixed connectivity surfaces
- New Renormalization Group Results for Scaling of Self-Avoiding Tethered Membranes
- First-order phase transition of the tethered membrane model on spherical surfaces
- Polymers and manifolds in static random flows: a renormalization group study
- Depinning in a two-layer model of plastic flow
- Dynamics of Selfavoiding Tethered Membranes I Model A Dynamics (Rouse Model)
- Glassy trapping of manifolds in nonpotential random flows
- Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes
- Large Orders for Self-Avoiding Membranes
- Super-rough phase of the random-phase sine-Gordon model: Two-loop results
- The tubular phase of self-avoiding anisotropic crystalline membranes
- Generalizing the O(N)-field theory to N-colored manifolds of arbitrary internal dimension D
- Statistical mechanics of asymmetric tethered membranes: spiral and crumpled phases
- Interacting crumpled manifolds
- Dynamical Selection of Critical Exponents
- Instanton calculus for the self-avoiding manifold model
- Interacting Crumpled Manifolds: Exact Results to all Orders of Perturbation Theory
- Field Theory of the RNA Freezing Transition
- Scaling behavior of tethered crumpled manifolds with inner dimension close to D=2: Resumming the perturbation theory