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DY: Fachverband Dynamik und Statistische Physik

DY 4: Focus Session: Nonlinear Dynamics and Stochastic Processes – Advances in Theory and Applications I

DY 4.8: Vortrag

Montag, 17. März 2025, 12:00–12:15, H43

Self-diffusion anomalies of an odd tracer in soft-core mediaPietro Luigi Muzzeddu1, •Erik Kalz2, Andrea Gambassi3,4, Abhinav Sharma5,6, and Ralf Metzler21University of Geneva — 2University of Potsdam — 3SISSA, Trieste — 4INFN, Trieste — 5University of Augsburg — 6IPF, Dresden

Odd-diffusive systems, characterised by broken time-reversal and/or parity symmetry, have recently displayed counterintuitive features such as interaction-enhanced dynamics in the dilute limit. Here we extend the investigation to the high-density limit of an odd tracer embedded in a soft Gaussian core medium (GCM) using a field-theoretic approach based on the Dean-Kawasaki equation. Our theory reveals that interactions can enhance the dynamics of an odd tracer even in dense systems. We demonstrate that oddness results in a complete reversal of the well-known self-diffusion (Ds) anomaly of the GCM. Ordinarily, Ds exhibits a non-monotonic trend with increasing density, approaching but remaining below the interaction-free diffusion, D0, (Ds < D0) so that Ds approaches D0 at high densities from below. In contrast, for an odd tracer, self-diffusion is enhanced (Ds > D0) and the GCM anomaly is inverted, such that Ds approaches D0 at high densities from above. The transition between the standard and reversed GCM anomaly is governed by the tracer's oddness, with a critical oddness value at which the tracer diffuses as a free particle (Ds = D0) across all densities. --- arXiv:2411.15552

Keywords: Dean-Kawasaki equation; stochastic field theory; Gaussian core model; odd diffusion

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