Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Focus Session: Broken Symmetries in Statistical Physics - Dynamics of Odd Systems
DY 24.5: Talk
Wednesday, March 19, 2025, 16:15–16:30, H43
Dance of odd-diffusive particles: A Fourier approach — •Amelie Langer1, Abhinav Sharma2,3, Ralf Metzler4, and Erik Kalz4 — 1University of Heidelberg — 2University of Augsburg — 3IPF Dresden — 4University of Potsdam
Odd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements in a minimal system, we here exactly solve the problem of two hard disklike interacting odd-diffusing particles. We calculate the probability density function (PDF) of the interacting particles in the Fourier-Laplace domain and find that oddness rotates all modes except the zeroth, resembling a mutual rolling of interacting odd particles. We show that only the first Fourier mode of the PDF, the polarization, enters the calculation of the force autocorrelation function (FACF) for generic systems with central-force interactions. An analysis of the polarization as a function of time reveals that the relative rotation angle between interacting particles overshoots before relaxation, thereby rationalizing the recently observed oscillating FACF in odd-diffusive systems. --- [Langer et al., Phys. Rev. Res. 6, 043036 (2024)]
Keywords: odd diffusion; force autocorrelation; Fourier-Laplace expansion; Fokker-Planck equation