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DY: Fachverband Dynamik und Statistische Physik
DY 12: Statistical Physics far from Thermal Equilibrium II
DY 12.4: Vortrag
Montag, 18. März 2024, 15:45–16:00, BH-N 334
Hydrodynamics of dense pulsating matter — •Tirthankar Banerjee1, Jonas Ranft2, Thibault Desaleux3, and Etienne Fodor1 — 1Department of Physics and Materials Science, University of Luxembourg, Luxembourg — 2Ecole Normale Superieure, Paris, France — 3French Alternative Energies and Atomic Energy Commission (CEA), St-Paul-lez-Durance, France
Dense assemblies of deforming cells, e.g., in the heart, show rich behaviours from synchronized collective oscillation to various types of wave propagation. We propose a generic minimal hydrodynamic model of out-of-equilibrium pulsating (due to a global drive) particles in the presence of thermal fluctuations. Derived through a mechanistic approach, our model equations encode the coupled dynamics of two fields: a conserved density and a non-conserved phase variable that carries information on the size of deforming particles. We show that homogeneous arrested and cycling states can be separated by a sector of instabilities in the space of control parameters. Using a perturbative method, we show analytically how thermal fluctuations can modify these phase boundaries. Extensive numerical simulations on a two-dimensional lattice strongly corroborate the analytical phase diagrams and reveal that the instabilities grow into target wave patterns both in density and phase.
Keywords: Non-equilibrium; Fluctuations; Patterns; Hydrodynamics