Copolymer with pinning : variational characterization of the phase diagram
| Autor: | Frank den Hollander, AA Opoku |
|---|---|
| Přispěvatelé: | Eurandom |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
01 natural sciences
010104 statistics & probability Delocalized electron symbols.namesake chemistry.chemical_compound Copolymer FOS: Mathematics 0101 mathematics 60F10 60K37 82B27 Mathematical Physics Phase diagram Mathematics chemistry.chemical_classification Quantitative Biology::Biomolecules Condensed matter physics 010102 general mathematics Probability (math.PR) Statistical and Nonlinear Physics Polymer Condensed Matter::Soft Condensed Matter Monomer chemistry symbols Hamiltonian (quantum mechanics) Random variable Mathematics - Probability |
| Zdroj: | Journal of Statistical Physics Journal of Statistical Physics, 152(5), 846-893 Journal of Statistical Physics, 152(5), 846-893. Springer |
| ISSN: | 0022-4715 |
| DOI: | 10.1007/s10955-013-0747-3 |
| Popis: | This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges are given by i.i.d. sequences of random variables. The configurations of the polymer are directed paths that can make i.i.d. excursions of finite length above and below the interface. The Hamiltonian has two parts: a monomer-solvent interaction ("copolymer") and a monomer-interface interaction ("pinning"). The quenched and the annealed version of the model each undergo a transition from a localized phase (where the polymer stays close to the interface) to a delocalized phase (where the polymer wanders away from the interface). We exploit the approach developed in [5] and [3] to derive variational formulas for the quenched and the annealed free energy per monomer. These variational formulas are analyzed to obtain detailed information on the critical curves separating the two phases and on the typical behavior of the polymer in each of the two phases. Our main results settle a number of open questions. Comment: 46 pages, 9 figures |
| Databáze: | OpenAIRE |
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