English

Localization transition of random copolymers at interfaces

Soft Condensed Matter 2009-10-31 v2

Abstract

We consider adsorption of random copolymer chains onto an interface within the model of Garel et al. Europhysics Letters 8, 9 (1989). By using the replica method the adsorption of the copolymer at the interface is mapped onto the problem of finding the ground state of a quantum mechanical Hamiltonian. To study this ground state we introduce a novel variational principle for the Green's function, which generalizes the well-known Rayleigh-Ritz method of Quantum Mechanics to nonstationary states. Minimization with an appropriate trial Green's function enables us to find the phase diagram for the localization-delocalization transition for an ideal random copolymer at the interface.

Keywords

Cite

@article{arxiv.cond-mat/9805021,
  title  = {Localization transition of random copolymers at interfaces},
  author = {Semjon Stepanow and Jens-Uwe Sommer and Igor Ya. Erukhimovich},
  journal= {arXiv preprint arXiv:cond-mat/9805021},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-07-22T12:03:41.126Z