Lamplighter model of a random copolymer adsorption on a line
| Autor: | Nazarov, L. I., Nechaev, S. K., Tamm, M. V. |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Condens. Matter Phys., 2014, vol. 17, No. 3, 33002 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.5488/CMP.17.33002 |
| Popis: | 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, $N$: $E\sim N^{3/4}$ 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 $X+X\to 0$ type with the subdiffusive motion of reagents. Comment: 8 pages, 5 figures |
| Databáze: | arXiv |
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