Eur. Phys. J. B 68, 247-251 (2009)
https://doi.org/10.1140/epjb/e2009-00088-4

An evolving network model in polymer melts with community structures

Department of Applied Mathematics, College of Science, Donghua University, 201620, Shanghai, P.R. China

Corresponding author: ^a zhangjuan@dhu.edu.cn

Received: 24 June 2008
Revised: 16 September 2008
Published online: 14 March 2009

Abstract

In order to describe the entangled network structure in polymer melts visually, we propose an evolving network model with community structure. This network model grows according to the inner-community and inter-community preferential mechanisms of both community sizes and node degrees. Numerical simulation results indicate that the cumulative distribution of community size and node degree distribution follow power-law distributions P(S≥s)∼s^-υ and P(k)∼k^-γ respectively, with the exponents of υ≥1 and .