Eur. Phys. J. B 27, 355-362 (2002)
https://doi.org/10.1140/epjb/e2002-00166-1

Adsorption of a random heteropolymer with random self-interactions onto an interface

¹ Martin-Luther-Universität Halle-Wittenberg, Fachbereich Physik, 06099 Halle, Germany
² Sumy State University, 2, Rimskii-Korsakov Str., 40007 Sumy, Ukraine

Corresponding author: ^a stepanow@physik.uni-halle.de

Received: 9 October 2001
Revised: 27 February 2002
Published online: 6 June 2002

Abstract

We consider the adsorption of a random heteropolymer onto an interface within the model of Garel et al. [1] by taking into account random self-interactions and ternary repulsive interactions between the monomers. Within the replica trick and by using a self-consistent preaveraging procedure we map the adsorption problem onto the problem of binding state of a quantum mechanical Hamiltonian. The analysis of the latter is treated within the variational method based on the 2nd Legendre transform. Our study reveals a complex behaviour of the localization of the heteropolymer. In particular, we predict a reentrant localization transition for moderate values of the asymmetry of the distribution function of the monomer sequences along the heteropolymer.