{ "id": "2001.06023", "version": "v1", "published": "2020-01-16T19:00:45.000Z", "updated": "2020-01-16T19:00:45.000Z", "title": "The Relationship Between the Turbulence-Driving-Length and the Length-Scale of Density Structures in Magnetohydrodynamic Turbulence", "authors": [ "Shmuel Bialy", "Blakesley Burkhart" ], "comment": "Submitted to ApJ Letters", "categories": [ "astro-ph.GA" ], "abstract": "Density fluctuations produced by supersonic turbulence are of great importance to astrophysical chemical models. A property of these density fluctuations is that the two-point correlation function decreases with increasing scale separation. The relation between the density decorrelation length-scale ($L_{\\rm dec}$) and the turbulence driving scale ($L_{\\rm drive}$) determines how turbulence affects the density and chemical structures in the interstellar medium (ISM), and is a key component for using observations of atomic and molecular tracers to constrain turbulence properties. We run a set of numerical simulations of supersonic magnetohydrodynamic turbulence, driven on varying scales from 1/2.5 to 1/7 the box length, and derive the $L_{\\rm dec}-L_{\\rm drive}$ relation as a function of driving-scale and the orientation of the line-of-sight (LOS) in respect to the mean magnetic field. We find that $L_{\\rm drive}$, $L_{\\rm dec}/L_{\\rm drive} = 0.231$ when averaging over all LOS. For LOS parallel to the magnetic field the density structures are statistically smaller and the $L_{\\rm dec}-L_{\\rm drive}$ relation is tighter, with $L_{\\rm dec}/L_{\\rm drive} = 0.129 \\pm 0.011$. We discuss our results in the context of using observations of chemical tracers in the ISM to constrain the dominant turbulence driving scale.", "revisions": [ { "version": "v1", "updated": "2020-01-16T19:00:45.000Z" } ], "analyses": { "keywords": [ "density structures", "density fluctuations", "turbulence-driving-length", "relationship", "two-point correlation function decreases" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }