Lamplighter model of a random copolymer adsorption on a line

We present a model of an AB-diblock random copolymer sequential self-packaging with local quenched interactions on a one-dimensional infinite sticky substrate. It is assumed that the A-A and B-B contacts are favorable, while A-B are not. The position of a newly added monomer is selected in view of t...

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Bibliographic Details
Main Authors: L.I. Nazarov, S.K. Nechaev, M.V. Tamm
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2014-09-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.17.33002
Description
Summary:We present a model of an AB-diblock random copolymer sequential self-packaging with local quenched interactions on a one-dimensional infinite sticky substrate. It is assumed that the A-A and B-B contacts are favorable, while A-B are not. The position of a newly added monomer is selected in view of the local contact energy minimization. The model demonstrates a self-organization behavior with the nontrivial dependence of the total energy, E (the number of unfavorable contacts), on the number of chain monomers, N: E ~ N^<sup>3/4</sup> for quenched random equally probable distribution of A- and B-monomers along the chain. The model is treated by mapping it onto the "lamplighter" random walk and the diffusion-controlled chemical reaction of X+X → 0 type with the subdiffusive motion of reagents.
ISSN:1607-324X