Directed polymers in random media with a line defect in four dimensions

Jae Hwan Lee and Jin Min Kim

Physica A: Statistical Mechanics and its Applications, 2021, vol. 576, issue C

Abstract: We study the directed polymer in random media with an attractive line defect at the center of a three-dimensional substrate in d=3+1. It is found that a small defect strength of ϵ<ϵc does not make the polymer localized, whereas the defect strength of ϵ>ϵc restricts the polymer fluctuation to a finite region, suggesting that the critical strength ϵc is nonzero but finite. A localization transition appears at ϵc, where various critical exponents characterizing the polymer dynamics are also calculated.

Keywords: Directed polymers; Line defect; Localization (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:576:y:2021:i:c:s037843712100323x

DOI: 10.1016/j.physa.2021.126050

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