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Published in:
2009 | OriginalPaper | Chapter
Queueing Transition of Directed Polymer in Random Media with a Defect
Authors : Jae Hwan Lee, Jin Min Kim
Published in: Complex Sciences
Publisher: Springer Berlin Heidelberg
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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
~
t
1/
z
with
z
= 3/2, for weak defect strength
ε
where
t
is the polymer length. If
ε
≥
ε
c
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.