View article

Low-dimensional, many-body systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hard-core interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scale-free sticking times at the single particle level. While for a non-interacting particle we find anomalous diffusion of the power-law form of the mean squared displacement with , we demonstrate here that the combination of the disordered environment with the many-body interactions leads to an ultraslow, logarithmic dynamics with a universal exponent. Even when a characteristic sticking time exists but the fluctuations of sticking times diverge we observe the mean squared displacement with , that is slower than the famed Harris law without disorder. We rationalize the …