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Title: Numerical calculation of overlap distribution of (2+1)-dimensional directed polymer in random media
Authors: Ueda, Masahiko
Author's alias: 上田, 仁彦
Issue Date: 16-May-2019
Publisher: IOP Publishing
Journal title: Journal of Statistical Mechanics: Theory and Experiment
Volume: 2019
Thesis number: 053302
Abstract: We investigate -dimensional discretized directed polymers in Gaussian random media. By numerically calculating the probability distribution function of overlap between two independent and identical systems on a common random potential, we show that there is no replica symmetry breaking. We also show that while the mean-squared displacement of one polymer end exhibits superdiffusive behavior, the mean-squared relative distance of two polymer ends exhibits subdiffusive behavior.
Rights: This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
The full-text file will be made open to the public on 16 may 2020 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1088/1742-5468/ab14db
Appears in Collections:Journal Articles

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