Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials. (16th May 2018)

• Record Type: Journal Article
• Authors: Ueda, Masahiko
• Is Part Of: Journal of statistical mechanics. (2018:May)
• Publication Date: 2018-05-16
• Subjects: 4 -- 7; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aabbe3
• Languages: English
• ISSNs: 1742-5468

Abstract

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.