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.