Interacting Elastic Lattice Polymers: a Study of the Free-Energy of Globular Rings

Abstract

We introduce and implement a Monte Carlo scheme to study the equilibrium statistics of polymers in the globular phase. It is based on a model of "interacting elastic lattice polymers" and allows a sufficiently good sampling of long and compact configurations, an essential prerequisite to study the scaling behaviour of free energies. By simulating interacting self-avoiding rings at several temperatures in the collapsed phase, we estimate both the bulk and the surface free energy. Moreover from the corresponding estimate of the entropic exponent $\alpha -2$ we provide evidence that, unlike for swollen and $\Theta$-point rings, the hyperscaling relation is not satisfied for globular rings.

8 pages; v2: typos removed, published version

References in corpus (4)

• Accurate estimate of the critical exponent $\nu$ for self-avoiding walks via a fast implementation of the pivot algorithm
• Ranking knots of random, globular polymer rings
• Scaling of a collapsed polymer globule in 2D
• Elastic Lattice Polymers

Cited by in corpus (1)

• Knotted globular ring polymers: how topology affects statistics and thermodynamics