Abstract
We study a simple model of a random heteropolymer, without excluded volume, in layered fluid systems of the form (i) ABA or ABC, where A, B, C denote three immiscible fluids, (ii) AB+hard wall, (iii) ABABA... . The quenched randomness is contained in the affinities {ξj; j=1,2,...,N} of the N links of the chain with the different fluids: these affinities are taken as random independent variables. Case (i) may be of interest for the localization of proteins in membranes, and (ii) pertains to the adsorption onto a wall. Using a replica-symmetric theory with a Hartree variational procedure, we study the behavior of the chain as a function of temperature. Various transitions [localization in case (i), adsorption in (ii)] are then exhibited. In the periodic situation (iii), the quenched and annealed randomness lead to the same results.
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