Directed polymer in random media with a defect
- Authors
- Lee, Jae Hwan; Kim, Jin Min
- Issue Date
- May-2009
- Publisher
- AMER PHYSICAL SOC
- Keywords
- defect states; fluctuations; polymer structure; random processes
- Citation
- PHYSICAL REVIEW E, v.79, no.5
- Journal Title
- PHYSICAL REVIEW E
- Volume
- 79
- Number
- 5
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/15839
- DOI
- 10.1103/PhysRevE.79.051127
- ISSN
- 1539-3755
- Abstract
- We investigate a directed polymer in random media with an attractive defect at the center of the one-dimensional substrate. Without the defect, the end to end distance Delta x of the polymer follows Delta x similar to t(1/z), with z=3/2 and t is the polymer length. When the defect strength epsilon is weak, its contribution to Delta x is negligible. If epsilon >=epsilon(c), then Delta x approaches a finite value Delta x(sat)(epsilon) in large t limit, and we find Delta x(sat)similar to(epsilon-epsilon(c))(-delta), with delta approximate to 3.0. Such transition is related to the queuing phenomena of the asymmetric simple exclusion process. The polymer energy fluctuation is also discussed.
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Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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