SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Focus Session: From Inter-individual Variability to Heterogeneous Group Dynamics and Disorder in Active Matter (joint session DY/BP/CPP)
DY 26.7: Vortrag
Mittwoch, 29. März 2023, 12:00–12:15, ZEU 160
Derivation and analysis of a phase field crystal model for a mixture of active and passive particles⋆ — •Michael te Vrugt1,2, Max Philipp Holl1, Aron Koch1, Raphael Wittkowski1,2,3, and Uwe Thiele1,3,4 — 1Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany — 2Center for Soft Nanoscience — 3Center for Nonlinear Science — 4Center for Multiscale Theory and Computation
We discuss an active phase field crystal (PFC) model that describes a mixture of active and passive particles [1]. First, a microscopic derivation from dynamical density functional theory is presented that includes a systematic treatment of the relevant orientational degrees of freedom. Of particular interest is the construction of the nonlinear and coupling terms. This allows for interesting insights into the microscopic justification of phenomenological constructions used in PFC models, the approximations required for obtaining them, and possible generalizations. Second, the derived model is investigated using linear stability analysis and nonlinear methods. It is found that the model allows for a rich nonlinear behavior with states ranging from steady periodic and localized states to various time-periodic states. The latter include standing, traveling, and modulated waves corresponding to spatially periodic and localized traveling, wiggling, and alternating peak patterns and their combinations.
[1] MtV et al., Modelling Simul. Mater. Sci. Eng. 30, 084001 (2022)
⋆Funded by the Deutsche Forschungsgemeinschaft (DFG)–WI 4170/3-1