Queueing transition of directed polymer in random media with a defect

초록

We study a queueing transition of directed polymer in random media with an attractive defect at the center of the one dimensional substrate. The end to end distance Δx of the polymer follows Δx ∼ t1/z with z = 3/2, for weak defect strength ε where t is the polymer length. If ε ≥ εc then the polymer is localized with finite Δx in long t limit. The transition is related to the queueing phenomena of the asymmetric simple exclusion process. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.