2003/10/22 by Anatoly B. Kolomeisky, Andrzej Drzewinski, Andrzej Drzewiński · 1 citation
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Electrostatics and Colloid Interactions #Nanopore and Nanochannel Transport Studies #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1687321
18 pages, 12 figures, submitted to J. Chem. Phys
arxiv created 2003/10/22 · openalex publication_date 2004/04/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Polymer dynamics at large fields in Rubinstein-Duke repton model is investigated theoretically. Simple diagrammatic approach and analogy with asymmetric simple exclusion models are used to analyze the reptation dynamics of polymers. It is found that for polyelectrolytes the drift velocity decreases exponentially as a function of the external field with an exponent depending on polymer size and parity, while for polyampholytes the drift velocity is independent of polymer chain size. However, for polymers, consisting of charged and neutral blocks, the drift velocity approaches the constant limit which is determined by the size of the neutral block. The theoretical arguments are supported by extensive numerical calculations by means of density-matrix renormalization group techniques.