3 years ago

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

Masahiko Ueda

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.

Publisher URL: http://arxiv.org/abs/1801.03224

DOI: arXiv:1801.03224v1

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