Oscillatory force autocorrelations in equilibrium odd-diffusive systems

Abstract

The force autocorrelation function (FACF), a concept of fundamental interest in statistical mechanics, encodes the effect of interactions on the dynamics of a tagged particle. In equilibrium, the FACF is believed to decay monotonically in time which is a signature of slowing down of the dynamics of the tagged particle due to interactions. Here we analytically show that in odd-diffusive systems, which are characterized by a diffusion tensor with antisymmetric elements, the FACF can become negative and even exhibit temporal oscillations. We also demonstrate that, despite the isotropy, the knowledge of FACF alone is not sufficient to describe the dynamics: the full autocorrelation tensor is required and contains an antisymmetric part. These unusual properties translate into enhanced dynamics of the tagged particle quantified via the self-diffusion coefficient that, remarkably, increases due to particle interactions.

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• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
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• Boundary-Induced Drift and Negative Mobility in Constrained Stochastic Systems
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density
• When velocity autocorrelations mirror force autocorrelations: Exact noise-cancellation in interacting Brownian systems