Phys. Rev. E 72, 055102(R) (2005) [4 pages]

Scale-free network hidden in a collapsing polymer

Abstract

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A. Kabakçıoğlu^1,2,* and A. L. Stella^2,†
¹Department of Physics, Koc University, Rumelifeneri Yolu Sariyer 34450, Istanbul, Turkey
²INFM-Dipartimento di Fisica and Sezione INFN, Università di Padova, I-35131 Padova, Italy

Received 22 September 2004; published 18 November 2005

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 d_c∝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 can emerge from standard criticality.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.72.055102

DOI:

10.1103/PhysRevE.72.055102

PACS:

89.75.Hc, 36.20.Ey, 64.60.Fr

^*Electronic address: akabakcioglu@ku.edu.tr

^†Electronic address: stella@pd.infn.it

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Phys. Rev. E 72, 055102(R) (2005) [4 pages]

Scale-free network hidden in a collapsing polymer