Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 46: Poster Session: Complex Fluids, Soft Matter, Active Matter, Glasses and Granular Materials
DY 46.3: Poster
Donnerstag, 8. September 2022, 15:00–18:00, P2
From a microscopic inertial active matter model to the Schrödinger equation* — •Michael te Vrugt1,2, Tobias Frohoff-Hülsmann1, Eyal Heifetz3, Uwe Thiele1, and Raphael Wittkowski1,2 — 1Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany — 2Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany — 3Porter School of the Environment and Earth Sciences, Tel Aviv University, 69978 Tel Aviv, Israel
Field theories for the one-body density of an active fluid, such as the paradigmatic active model B+, are simple yet very powerful tools for describing phenomena such as motility-induced phase separation. No comparable theory has been derived yet for the underdamped case. In our work [1], we introduce active model I+, an extension of active model B+ to particles with inertia. The governing equations of active model I+ are systematically derived from the microscopic Langevin equations. We show that, for underdamped active particles, thermodynamic and mechanical definitions of the velocity field no longer coincide and that the density-dependent swimming speed plays the role of an effective viscosity. Moreover, active model I+ contains the Schrödinger equation in Madelung form as a limiting case, allowing to find analoga of the quantum-mechanical tunnel effect and of fuzzy dark matter in the active fluid. We investigate the active tunnel effect analytically and via numerical continuation. [1] M. te Vrugt et al., arXiv:2204.03018
*Funded by the Deutsche Forschungsgemeinschaft (DFG) – grant 283183152.