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arXiv · 1801.03224

Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials

Masahiko Ueda
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Abstract

We study the dynamics of a particle in a one-dimensional Gaussian random potential with logarithmic correlations. It was shown in previous studies that the model exhibits a dynamical transition between two subdiffusive phases. We numerically investigate both phases by focusing on overlap between trajectories of two independent particles in a common random potential, and show that replica symmetry breaking in trajectory space occurs in the low-temperature phase.

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Masahiko Ueda. 2018-01-10. Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials. https://doi.org/10.1088/1742-5468/aabbe3

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