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Phase separation, edge currents, and Hall effect for active matter with Magnus dynamics

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Abstract

We examine run-and-tumble disks in two-dimensional systems where the particles also have a Magnus component to their dynamics. For increased activity, we find that the system forms a motility-induced phase-separated (MIPS) state with chiral edge flow around the clusters, where the direction of the current is correlated with the sign of the Magnus term. The stability of the MIPS state is non-monotonic as a function of increasing Magnus term amplitude, with the MIPS region first extending down to lower activities followed by a break up of MIPS at large Magnus amplitudes into a gel-like state. We examine the dynamics in the presence of quenched disorder and a uniform drive and find that the bulk flow exhibits a drive-dependent Hall angle. This is a result of the side jump effect produced by scattering from the pinning sites and is similar to the behavior found for skyrmions in chiral magnets with quenched disorder.

Graphical abstract

Active Magnus particles without pinning or drift force in the presence of gradually increasing Magnus terms showing a a rotating cluster mode, b a rotating cluster with clear shear banding at its edge, c a sheared band spanning the system, and d a disordered state where neither clusters nor shear bands can form. The colors indicate the net displacement of the particles, while the arrows show the rotation or shear directions

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.

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Acknowledgements

We gratefully acknowledge the support of the US Department of Energy through the LANL/LDRD program for this work. This work was supported by the US Department of Energy through the Los Alamos National Laboratory. Los Alamos National Laboratory is operated by Triad National Security, LLC, for the National Nuclear Security Administration of the US Department of Energy (Contract No. 892333218NCA000001). AL was supported by a grant of the Romanian Ministry of Education and Research, CNCS - UEFISCDI, project number PN-III-P4-ID-PCE-2020-1301, within PNCDI III.

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  1. Mathematics and Computer Science Department, Babeş-Bolyai University, 400084, Cluj, Romania

    B. Adorjáni & A. Libál

  2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    C. Reichhardt & C. J. O. Reichhardt

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Adorjáni, B., Libál, A., Reichhardt, C. et al. Phase separation, edge currents, and Hall effect for active matter with Magnus dynamics. Eur. Phys. J. E 47, 40 (2024). https://doi.org/10.1140/epje/s10189-024-00431-w

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