Numerical calculation of overlap distribution of -dimensional directed polymer in random media
arXiv:1812.05754 · doi:10.1088/1742-5468/ab14db
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.
arXiv comment8 pages, 4 figures
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