2000/04/24 by S. Jespersen, I. M. Sokolov, A. Blumen · 3 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1312277
14 pages, 4 figures. Preprint version, submitted to JCP
arxiv created 2000/04/24 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We use the recently introduced small-world networks (SWNs) to model cross-linked polymers, as an extension of the linear Rouse chain. We study the SWN dynamics under the influence of external forces. We focus on the (structurally and thermally averaged) stretching of the SWN, which we determine numerically through diagonalization and analytically using an approximate expression for the SWN density of states. We show that stretching is related to the probability of a random walker over the network to return to its origin. We compare our SWN results to the corresponding ones for Cayley trees.