Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 49: Active Matter V (joint session DY/BP)

DY 49.9: Vortrag

Donnerstag, 12. März 2026, 12:00–12:15, ZEU/0160

Diffusion of active particles on curved manifolds — •Maxim Root¹, Lorenzo Caprini², and Hartmut Löwen¹ — ¹Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany — ²Physics Department, Sapienza University of Rome, 00185 Rome, Italy

Active Matter rarely exists in isolated idealized systems. In nature, it is rather typical that active particles are surrounded by complex environments and experience external forces. So far, passive Brownian motion constrained to curved surfaces [1,2] was studied extensively and similar work was done on clusters of active particles [3]. In this talk we explore the emergent effects of active particles constrained to two-dimensional curved surfaces and in presence of an external homogeneous force field, e.g., gravity. This is done for an overdamped active particle that exhibits persistent motion on a short time scale and diffusion in the long-time limit. The lateral long-time diffusion coefficient is computed for different scenarios and criteria for localization are derived.

[1] T. Ohta and S. Komura, Lateral diffusion on a frozen random surface, EPL 132, 50007 (2020)
[2] A. Naji and F. L. H. Brown, Diffusion on ruffled membrane surfaces, J. Chem. Phys. 126, 235103 (2007)
[3] E. D. Mackay et al., Emergent Dynamics of Active Systems on Curved Environments, arXiv:2505.24730 (2025)

Keywords: diffusion; gravity; localization; manifold; constrained motion