Hamburg 2001 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.74: Poster

Donnerstag, 29. März 2001, 15:45–18:15, Foyer S\ 3

Localization of a random heteropolymer onto a surface — •Alexander Chudnovskiy and Semjon Stepanow — Fachbereich Physik, Universität Halle, D-06099 Halle/Saale

We study the localization of a stochastic polymer onto an homogeneous surface, the problem which is equivalent to the wetting of an interface at disordered substrate in two dimensions, by using the replica trick. We present analytical results for two different cases: (i) nearly statistically symmetric copolymer in the vicinity of the threshold of annealed problem, and (ii) the asymmetric polymer with the interaction part of the annealed Hamiltonian being nearly zero. In the former case we have obtained that the localization is due to two-replica binding state and that the polymer is localized both above and below the annealed threshold. The case (ii) is closely related to the localization of a quantum mechanical particle in an axial symmetric potential well with repulsive core at the origin. We have obtained that the energy at the transition is finite, i.e. it is a first-order phase transition. We explain the 1st order transition to be due to entanglements of the space-time trajectory of the particle around the core.