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DY: Fachverband Dynamik und Statistische Physik
DY 32: Poster: Active Matter, Soft Matter, Fluids
DY 32.19: Poster
Mittwoch, 20. März 2024, 15:00–18:00, Poster C
Phase ordering kinetics in discretized flocking — •Sayam Bandyopadhyay1, Aditya Kumar Dutta1, Swarnajit Chatterjee2, Mintu Karmakar1, Heiko Rieger2, and Raja Paul1 — 1School of Mathematical & Computational Sciences, Indian Association for the Cultivation of Science, Kolkata – 700032, India — 2Center for Biophysics & Department for Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany
We undertake a numerical study of the ordering kinetics in the two-dimensional (2d) active Ising model (AIM), a discrete flocking model with a non-conserved scalar order parameter. For a quench into the liquid-gas coexistence region and in the ordered liquid region, the characteristic length scale of both the density and magnetization domains follows the Lifshitz-Cahn-Allen (LCA) growth law: R(t) ∼ t1/2, consistent with the growth law of passive systems with scalar order parameter and non-conserved dynamics. The system morphology is analyzed with the two-point correlation function and its Fourier transform, the structure factor, which conforms to the well-known Porod’s law, a manifestation of the coarsening of compact domains with smooth boundaries. We also find the domain growth exponent unaffected by the noise and the self-propulsion velocity of the active particles. However, transverse diffusion is found to play the most significant role in the growth kinetics of the AIM.