1998
DOI: 10.1103/physrevlett.81.4412
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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. [Europhys. Lett. 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… Show more

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Cited by 38 publications
(54 citation statements)
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“…Here we are going to focus on very specific issues and the most interesting for our purposes is that in the physical literature both the conjecture that h(·) = h c (·) (cf. [20] and [26]) and that h(·) = h c (·) (cf. [27]) are set forth.…”
Section: 4mentioning
confidence: 99%
“…Here we are going to focus on very specific issues and the most interesting for our purposes is that in the physical literature both the conjecture that h(·) = h c (·) (cf. [20] and [26]) and that h(·) = h c (·) (cf. [27]) are set forth.…”
Section: 4mentioning
confidence: 99%
“…Due to this it is not possible to reduce L n to a quantum mechanical Hamiltonian as it is the case, if only a single integration over the contour length appears (see for example [5]). In the following we will preaverage (8) in order to reduce it to a quantum mechanical Hamiltonian.…”
Section: Model and Formalismmentioning
confidence: 99%
“…Without taking into account the self-interactions, the case which is obtained from Eq. (16) by putting χ 0 = 0, Stepanow et al [5] applied a novel variational principle for Green's function associated with the Hamiltonian H n . The latter generalizes the well-known Rayleigh-Ritz method in Quantum Mechanics for nonstationary states.…”
Section: Model and Formalismmentioning
confidence: 99%
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