Abstract
We consider a quenched-disordered heteropolymer, consisting of hydrophobic and hydrophylic monomers, in the vicinity of an oil-water interface. The heteropolymer is modeled by a directed simple random walk
In the present paper we show that the free-energy localization concept is equivalent to pathwise localization. In particular, we prove that free-energy localization implies exponential tightness of the polymer excursions away from the interface, strictly positive density of intersections with the interface and convergence of ergodic averages along the polymer. We include an argument due to G. Giacomin, showing that free-energy delocalization implies that there is pathwise delocalization in a certain weak sense.
Citation
Marek Biskup. Frank den Hollander. "A heteropolymer near a linear interface." Ann. Appl. Probab. 9 (3) 668 - 687, August 1999. https://doi.org/10.1214/aoap/1029962808
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