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 03054470/31/8/009/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 03054470/31/8/009/img2 with n, then all chains become localized simultaneously at the origin in the limit 03054470/31/8/009/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:

Journal of Physics A Mathematical General
 Pub Date:
 February 1998
 DOI:
 10.1088/03054470/31/8/009
 arXiv:
 arXiv:condmat/9707314
 Bibcode:
 1998JPhA...31.1965N
 Keywords:

 Condensed Matter
 EPrint:
 17 pages in LaTeX, 5 PostScript figures