Localization in a simple multichain catalytic absorption model
Abstract
We consider the phase transition in the ensemble of n polymer chains developing on the halfline 0305-4470/31/8/009/img1. All chains are independent of each other in all points except the origin x = 1, where the point well is located. The well depth depends on the number of beads of different chains simultaneously staying at the point x = 1. We show that if the well depth grows faster than 0305-4470/31/8/009/img2 with n, then all chains become localized simultaneously at the origin in the limit 0305-4470/31/8/009/img3. In the conclusion we discuss the connection of the above defined problem with the phase transition in the copolymer chain with a quenched random sequence of monomers using the replica approach.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- February 1998
- DOI:
- 10.1088/0305-4470/31/8/009
- arXiv:
- arXiv:cond-mat/9707314
- Bibcode:
- 1998JPhA...31.1965N
- Keywords:
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- Condensed Matter
- E-Print:
- 17 pages in LaTeX, 5 PostScript figures