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arXiv · 1812.05754

Numerical calculation of overlap distribution of $(2+1)$-dimensional directed polymer in random media

Masahiko Ueda
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Abstract

We investigate $(2+1)$-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.

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Masahiko Ueda. 2019-04-08. Numerical calculation of overlap distribution of $(2+1)$-dimensional directed polymer in random media. https://doi.org/10.1088/1742-5468%2Fab14db

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