Department of Physics Papers
Document Type
Journal Article
Date of this Version
5-17-2012
Abstract
We study asymptotic properties of diffusion and other transport processes (including self-avoiding walks and electrical conduction) on large, randomly branched polymers using renormalized dynamical field theory. We focus on the swollen phase and the collapse transition, where loops in the polymers are irrelevant. Here the asymptotic statistics of the polymers is that of lattice trees, and diffusion on them is reminiscent of the climbing of a monkey on a tree. We calculate a set of universal scaling exponents including the diffusion exponent and the fractal dimension of the minimal path to two-loop order and, where available, compare them to numerical results.
Recommended Citation
Janssen, H., & Stenull, O. (2012). Scaling Exponents for a Monkey on a Tree: Fractal Dimensions of Randomly Branched Polymers. Retrieved from https://repository.upenn.edu/physics_papers/234
Date Posted: 30 May 2012
This document has been peer reviewed.
Comments
Janssen, H. & and Stenull, O. (2012). Scaling Exponents for a Monkey on a Tree: Fractal Dimensions of Randomly Branched Polymers. Physical Review E, 85(5), 051126. doi: 10.1103/PhysRevE.85.051126
© 2012 American Physical Society