Localization in simple multiparticle catalytic absorption model

Details Localization in simple multiparticle catalytic absorption model Localization in simple multiparticle catalytic absorption model

1997-07-30

arxiv.org/abs/cond-mat/9707314v1

Physics

Condensed Matter

17 pages in LaTeX, 5 PostScript figures; submitted to J.Phys.(A): Math. Gen

Scientific paper

10.1088/0305-4470/31/8/009

We consider the phase transition in the system of n simultaneously developing random walks on the halfline x>=0. All walks are independent on each others in all points except the origin x=0, where the point well is located. The well depth depends on the number of particles simultaneously staying at x=0. We consider the limit n>>1 and show that if the depth growth faster than 3/2 n ln(n) with n, then all random walks become localized simultaneously at the origin. In conclusion we discuss the connection of that problem with the phase transition in the copolymer chain with quenched random sequence of monomers considered in the frameworks of replica approach.

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