Localization transition of random copolymers at interfaces

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.

5 pages

Cited by in corpus (8)

• Neutral and Charged Polymers at Interfaces
• Localization of a multiblock copolymer at a selective interface: Scaling predictions and Monte Carlo verification
• A numerical approach to copolymers at selective interfaces
• A Variational Approach to the Localization Transition of Heteropolymers at Interfaces
• Delocalization transition of the selective interface model: distribution of pseudo-critical temperatures
• Copolymers at selective interfaces: new bounds on the phase diagram
• Random walk models and probabilistic techniques for inhomogeneous polymer chains
• Exact results for the adsorption of a semiflexible copolymer chain in three dimensions