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DY: Fachverband Dynamik und Statistische Physik

DY 41: Statistical Physics: General

DY 41.4: Talk

Thursday, March 21, 2024, 10:15–10:30, BH-N 128

Oscillating autocorrelation functions and their physical implications in equilibrium odd-diffusive systems — •Erik Kalz1, Hidde D. Vuijk2, Jens-Uwe Sommer3,4,5, Ralf Metzler1,6, and Abhinav Sharma2,31University of Potsdam, Germany — 2University of Augsburg, Germany — 3Leibniz-Institute for Polymer Research, Dresden, Germany — 4Technical University Dresden, Germany — 5Technical University Dresden, Cluster of Excellence Physics of Life, Germany — 6Asia Pacific Centre for Theoretical Physics, Pohang, Republic of Korea

Autocorrelation functions (ACF) can be shown to decay monotonically in equilibrium systems. Despite being in equilibrium, this strict monotonicity condition of ACFs is broken in so-called odd-diffusive systems, which are characterized by probability fluxes perpendicular to density gradients. In fact, the velocity-ACF of a tracer-colloid can even be shown to be oscillatory. In normal systems, the monotonic decay of the velocity-ACF translates into an interaction-induced reduction of the diffusion coefficient of the colloid (Green-Kubo relation). We show that in odd systems, the non-monotonicity of the ACF instead results in an enhancement of the tracer diffusion with interparticle interactions.

Ref: E. Kalz, H. Vuijk, J.-U. Sommer, R. Metzler and A. Sharma: Oscillatory force autocorrelations in equilibrium odd-diffusive systems (PRL accepted manuscript)

Keywords: autocorrelation function; equilibrium system; odd diffusion; interacting particles

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