Title: Lamplighter model of a random copolymer adsorption on a line
Author(s):

	L.I. Nazarov (Physics Department, M.V. Lomonosov Moscow State University, 119991 Moscow, Russia) ,
	S.K. Nechaev (Universit\'e Paris-Sud/CNRS, LPTMS, UMR8626, B\^at. 100, 91405 Orsay, France ; P.N. Lebedev Physical Institute, RAS, 119991 Moscow, Russia ; Department of Applied Mathematics, National Research University ``Higher School of Economics'', 101000 Moscow, Russia) ,
	M.V. Tamm (Physics Department, M.V. Lomonosov Moscow State University, 119991 Moscow, Russia ; Department of Applied Mathematics, National Research University ``Higher School of Economics'', 101000 Moscow, Russia)

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^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 → 0 type with the subdiffusive motion of reagents.

Key words: local optimization, heteropolymer folding, lamplighter random walk, subdiffusive chemical reaction
PACS: 05.40.-a, 02.50.Ga, 87.15.Cc

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