The Annals of Applied Probability

A heteropolymer in a medium with random droplets

Mario V. Wüthrich

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Abstract

We define a heteropolymer in a medium with random droplets. We prove that for this model we have two regimes: a delocalized one and a localized one. In the localized regime we prove tightness to the droplets, whereas in the delocalized regime we prove diffusive path behavior.

Article information

Source
Ann. Appl. Probab., Volume 16, Number 3 (2006), 1653-1670.

Dates
First available in Project Euclid: 2 October 2006

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1159804995

Digital Object Identifier
doi:10.1214/105051606000000231

Mathematical Reviews number (MathSciNet)
MR2260077

Zentralblatt MATH identifier
1113.60098

Subjects
Primary: 60K99: None of the above, but in this section
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82B24: Interface problems; diffusion-limited aggregation 82B26: Phase transitions (general)

Keywords
Random walk random medium heteropolymer phase transition

Citation

Wüthrich, Mario V. A heteropolymer in a medium with random droplets. Ann. Appl. Probab. 16 (2006), no. 3, 1653--1670. doi:10.1214/105051606000000231. https://projecteuclid.org/euclid.aoap/1159804995


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