Critical adsorption of polymers in a medium with long-range correlated quenched disorder
| dc.creator | Usatenko, Z. | |
| dc.creator | Ciach, A. | |
| dc.date | 2003-08-01 | |
| dc.date | 2003-10-22 | |
| dc.date.accessioned | 2026-07-07T02:52:43Z | |
| dc.date.available | 2026-07-07T02:52:43Z | |
| dc.description | We investigated the influence of short- and long-range correlated quenched disorder introduced into the medium on the process of adsorption of long-flexible polymer chains on a wall by using the field theoretical approach in $d=4-ε$ and the directly in d=3 dimensions up to one-loop order for the semi-infinite $|ϕ^4|$ m-vector model (in the limit $m \to 0$) with a boundary. This allows us to describe the critical behaviour of long-flexible polymer chains in the vicinity of the surface and to obtain the whole set of surface critical exponents at the special surface transition ($c=c_{ads}$), which separates the nonadsorbed region $c>c_{ads}$ from the adsorbed one $c<c_{ads}$. In the case of very strong correlation of the disorder we obtained that a polymer collapses and adsorbs on a wall. The obtained results indicate that for the systems with long-range correlated quenched disorder the new set of surface critical exponents arises and show that polymer chains in solution with that type of disorder adsorb on a wall stronger than the polymer chains in pure medium. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0308020 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0308020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21946 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Critical adsorption of polymers in a medium with long-range correlated quenched disorder | |
| dc.type | text |