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ZENODO
Dataset . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Dataset . 2025
License: CC BY
Data sources: Datacite
ZENODO
Dataset . 2025
License: CC BY
Data sources: Datacite
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Data for "Alignment-induced self-organization of autonomously steering microswimmers: Turbulence, clusters, vortices, and jets"

Authors: Goh, Segun; Westphal, Elmar; Winkler, Roland G.; Gompper, Gerhard;

Data for "Alignment-induced self-organization of autonomously steering microswimmers: Turbulence, clusters, vortices, and jets"

Abstract

Introduction This repository contains representative data and exemplary data-analysis codes supplementing the manuscript Goh et al., Alignment-induced self-organization of autonomously steering microswimmers: Turbulence, clusters, vortices, and jets, Phys. Rev. Research 7, 013142 (2025), which investigates the collective motion of autonomously aligning microswimmers by large-scale multiparticle collision dynamics (MPC) simulations. Data 1. Pusher Parameters Péclet number ${\rm Pe} = 128$, maneuverability $\Omega=512$, system size $(L/a)^3=512^3$ collision cells, and number of squirmers $N_{\rm sq}=110,592$ Squirmer data File name: pusher.squirmer.dat 301 snapshots with a print interval of 2500 MPC steps Data structure Each row: a snapshot of the squirmers at a given MPC step Column: $N_{\rm sq}$ state vectors (space-separated) State vectors (12 components, space-separated): position (3D), velocity (3D), orientation (3D), angular velocity (3D) Fluid data File name: pusher.fluid.dat A snapshot of fluid data at $300 \times 2500$ MPC step, $512 \times 512 \times 512$ cells The velocity of each cell is averaged over 2500 MPC steps Data structure Column: cell position (3D), velocity (3D) Data 2. Puller Parameters Péclet number ${\rm Pe} = 128$, maneuverability $\Omega=2048$, system size $(L/a)^3 = 768^3$ collision cells, and number of squirmers $N_{\rm sq}=373,248$ Squirmer data File name: puller.squirmer.dat 301 snapshots with a print interval of 2500 MPC steps Data structure Each row: a snapshot of the squirmers at a given MPC step Column: $N_{\rm sq}$ state vectors (space-separated) State vectors (12 components, space-separated): position (3D), velocity (3D), orientation (3D), angular velocity (3D) Fluid data File name: puller.fluid.dat A snapshot of fluid data at $300 \times 2500$ MPC step, rescaled to $512 \times 512 \times 512$ cells The velocity of each cell is averaged over 2500 MPC steps Data structure Column: cell position (3D), velocity (3D) Exemplary script Squirmer MSD C code computing $(\Delta r)^2$ with an initial time of $200 \times 2500$ MPC step from the squirmer data files File name: squirmer_MSD.c Compile gcc -o squirmer_MSD squirmer_MSD.c Usage ./squirmer_MSD pusher.squirmer.dat 512 110592 Output pusher.squirmer.dat.MSD Fluid energy spectrum Python script computing $E(k)$ from the fluid data files File name: fluid_energy_spectrum.py Usage (prerequisite: NumPy) python fluid_energy_spectrum.py pusher.fluid.dat pusher.fluid.espec Appendix. Meta-data Units Time: in units of $a\sqrt{m/(k_{\rm B}T)}$ Length: in units of the side length of a collision cell $a$ Energy: in units of $k_BT$ MPC fluid Viscosity $\eta = 42.6\sqrt{mk_BT}/a^2$ Parameter Description Value $\alpha$ collision angle $130^\circ$ $h$ collision time $0.02$ $\langle N_c \rangle$ MPC density (MPC particles per cell) $20$ Squirmer Rotational diffusion coefficient $D_R = 0.000041\sqrt{k_BT/m}/a$ Parameter Description Value $R_{\rm sq}$ squirmer radius $3$ $\epsilon_0$ LJ potential strength $5$ $v_0$ self-propulsion speed $0.031488$ (${\rm Pe}=128$) $\beta$ active stress $-3$ (pusher) $3$ (puller) $R_a$ sensing range $12$ $C_0$ self-steering angular speed $0.083968$ ($\Omega=2048$) $0.335872$ ($\Omega=8192$)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average