L. I. Nazarov 1 S. K. Nechaev 2, 3 M. V. Tamm 4, 5
Condensed Matter Physics, Institute for Condensed Matter Physics, 2014, 17, pp.33002
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.
- 1. Institute of Mining, Siberian Branch
- 2. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques
- 3. P. N. Lebedev Physical Institute
- 4. Physics Department
- 5. Department of Applied Mathematics