A scale-free network hidden in the collapsing polymer

Details A scale-free network hidden in the collapsing polymer A scale-free network hidden in the collapsing polymer

2004-09-22

arxiv.org/abs/cond-mat/0409584v2

Phys. Rev. E 72, 055102 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, address corrected

Scientific paper

10.1103/PhysRevE.72.055102

We show that the collapsed globular phase of a polymer accommodates a scale-free incompatibility graph of its contacts. The degree distribution of this network is found to decay with the exponent $\gamma = 1/(2-c)$ up to a cut-off degree $d_c \propto L^{2-c}$, where $c$ is the loop exponent for dense polymers ($c=11/8$ in two dimensions) and $L$ is the length of the polymer. Our results exemplify how a scale-free network (SFN) can emerge from standard criticality.

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