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 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.
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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Lee, J.H., Kim, J.M. (2009). Queueing Transition of Directed Polymer in Random Media with a Defect. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_19
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DOI: https://doi.org/10.1007/978-3-642-02466-5_19
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