Queueing Transition of Directed Polymer in Random Media with a Defect

Jae Lee; Jin Kim

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Queueing Transition of Directed Polymer in Random Media with a Defect

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@INPROCEEDINGS{10.1007/978-3-642-02466-5_19,
    author={Jae Lee and Jin Kim},
    title={Queueing Transition of Directed Polymer in Random Media with a Defect},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
    proceedings_a={COMPLEX PART 1},
    year={2012},
    month={5},
    keywords={directed polymer in random media queueing transition},
    doi={10.1007/978-3-642-02466-5_19}
}

Jae Lee
Jin Kim
Year: 2012
Queueing Transition of Directed Polymer in Random Media with a Defect
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_19

Jae Lee¹, Jin Kim¹^,*

1: Soongsil University

*Contact email: jmkim@ssu.ac.kr

Abstract

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 of the polymer follows ~ with = 3/2, for weak defect strength where is the polymer length. If ≥ then the polymer is localized with finite in long limit. The transition is related to the queueing phenomena of the asymmetric simple exclusion process.

Keywords: directed polymer in random media queueing transition

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_19