Scaling of a collapsed polymer globule in 2D

Abstract

Extensive Monte Carlo data analysis gives clear evidence that collapsed linear polymers in two dimensions fall in the universality class of athermal, dense self-avoiding walks, as conjectured by B.Duplantier [Phys.Rev.Lett. 71, 4274 (1993)]. However, the boundary of the globule has self affine roughness and does not determine the anticipated nonzero topological boundary contribution to entropic exponents. Scaling corrections are due to subleading contributions to the partition function corresponding to polymer configurations with one end located on the globule-solvent interface.

4 pages, 4 figures, revtex4

References in corpus (3)

• Conformally Invariant Fractals and Potential Theory
• Growth Algorithms for Lattice Heteropolymers at Low Temperatures
• Exact scaling form for the collapsed 2D polymer phase

Cited by in corpus (6)

• Ranking knots of random, globular polymer rings
• Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point
• Scaling of Hamiltonian walks on fractal lattices
• The competition of hydrogen-like and isotropic interactions on polymer collapse
• A model of compact polymers on a family of three-dimensional fractal lattices
• Interacting Elastic Lattice Polymers: a Study of the Free-Energy of Globular Rings