Localization of a random copolymer at an interface: an untethered self-avoiding walk model

James, E W; Soteros, C E; Whittington, S G

doi:10.1088/0305-4470/36/44/001

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…One needs an underlying model for the conformational properties of the polymer chain. Various models have been considered including random walk (Maritan et al 1999), directed walk (Bolthausen and den Hollander 1997, Biskup and den Hollander 1999, Orlandini et al 2002 and self-avoiding walk models (Maritan et al 1999, Martin et al 2000, Madras and Whittington 2003, James et al 2003. Regardless of the chosen model we have a lattice and a hyperplane dividing it into two half-spaces.…”

Section: Introductionmentioning

confidence: 99%

Localization of random copolymers and the Morita approximation

Iliev

Rechnitzer

Whittington

2005

J. Phys. A: Math. Gen.

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We discuss and analyse the Morita approximation for a number of different models of quenched random copolymer localization at the interface between two immiscible liquids. We focus on two directed models, bilateral Dyck paths and bilateral Motzkin paths, for which this approximation can be carried through analytically. We study the form of the phase diagram and find that the Morita approximation gives phase boundaries which are qualitatively correct. This is also true when a monomer-interface interaction is included in the model. When this interaction is attractive it can lead to separation of the phase boundaries, which is also a feature of the quenched problem. We note the existence of non-analytic points on the phase boundaries which may reflect tricritical points on the phase boundaries of the full quenched average problem. In certain regions of the phase plane this approximation can be extended to the self-avoiding walk model.

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