Scale-free network hidden in a collapsing polymer
Abstract
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 γ=1/(2-c) up to a cutoff degree dc∝L2-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 can emerge from standard criticality.
- Publication:
-
Physical Review E
- Pub Date:
- November 2005
- DOI:
- 10.1103/PhysRevE.72.055102
- arXiv:
- arXiv:cond-mat/0409584
- Bibcode:
- 2005PhRvE..72e5102K
- Keywords:
-
- 89.75.Hc;
- 36.20.Ey;
- 64.60.Fr;
- Networks and genealogical trees;
- Conformation;
- Equilibrium properties near critical points critical exponents;
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 4 pages, 3 figures, address corrected