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SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 56: Brownian Motion and Anomalous Diffusion

DY 56.6: Vortrag

Freitag, 31. März 2023, 11:15–11:30, ZEU 160

Brownian solitons in periodic structures — •Alexander P. Antonov1, Artem Ryabov2, and Philipp Maass11Fachbereich Physik, Universität Osnabrück, Osnabrück, Germany — 2Charles University, Faculty of Mathematics and Physics, Department of Macromolecular Physics, Prague, Czech Republic

Solitons are known in systems with inertia as waves propagating without dispersion due to nonlinear effects. We show that solitons can occur in the absence of inertia for fully overdamped Brownian dynamics of hard spheres in periodic potentials at high particle densities [1,2]. The solitons manifest themselves as periodic sequences of different particle assemblies moving even in the zero-noise limit, where transport of single particles is not possible. To uncover the hard sphere dynamics at zero noise, a new simulation technique has been developed that can be applied for arbitrary external force fields [3]. At low temperature, the solitons give rise to particle currents appearing in band-like structures around certain particle diameters. At high temperatures, currents occur for all particle diameters. The variation of the current magnitudes with particle diameter and driving force reflects the inherent soliton formation.

[1] A. P. Antonov, A. Ryabov, P. Maass, Phys. Rev. Lett. 129, 080601
[1] (2022).

[2] A. P. Antonov, D. Voráč, A. Ryabov, P. Maass, New J. Phys 24, 093020 093020 (2022).

[3] A. P. Antonov, S. Schweers, A. Ryabov, P. Maass, Phys. Rev. E 106, 106, 054606 (2022).

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