Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials. (16th May 2018) - Ueda, Masahiko
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 the overlap between the 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.