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Correlations of quartets? Yes please! We measure the 4-Point Function of MHD turbulence simulations.
Project Objective
Project Objective
In the Interstellar Medium (ISM), gas and dust dynamically evolve under magnetohydrodynamic (MHD) turbulence. This turbulence creates dense, non-linear structures that are potential star formation sites. The few known statistical properties of turbulence are derived from summary statistics such as the 2-Point Correlation Function (2PCF) or its Fourier-space analog the power spectrum, which are insufficient for probing turbulence's non-Gaussian and non-linear properties.
We use the 4-Point Correlation Function (4PCF), a higher-order statistic that quantifies correlations between quadruplets of points as a function of tetrahedral geometry, enabling us to study the non-Gaussian information in the density field. For the first time, we measured the 4PCF on 50+ simulations of the ISM with varying magnetic field strength and pressure and found significant information beyond the 2-point statistics.
The simulation database used in this study.
The measured 4PCF, including raw data and plots.
Animations of the 4PCF through varying b1.
Access to the SARABANDE code and subsequent scripts.
Explore our full paper on ArXiv!
Acknowledgements
Acknowledgements
This work would not have been possible without the collaboration of James Sunseri, Dr. Jiamin Hou, and Dr. Zachary Slepian. We acknowledge the University of Florida Research Computing and Princeton University Research Computing for providing computational resources and technical support needed to obtain the results reported in this publication. We would like to thank Stephen Portillo for development of the 3-Point Correlation Function on MHD turbulence, a helpful starting point for the work of this paper. The University of Florida’s University Scholars Program provided funding towards resources and hourly work. We thank the Slepian group members for useful discussions.
This page is hosted and run by Victoria Williamson at the University of Florida. For any questions about this work, please reach out to williamson.v@ufl.edu.
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