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Main Authors: Whitworth, D. J., Srinivasan, S., Pudritz, R. E., Mac Low, M. -M., Eadie, G., Palau, A., Soler, J. D., Smith, R. J., Pattle, K., Robinson, H., Pillsworth, R., Wadsley, J., Brucy, N., Lebreuilly, U., Hennebelle, P., Girichidis, P., Gent, F. A., Marin, J., Valido, L. Sánchez, Camacho, V., Klessen, R. S., Vázquez-Semadeni, E.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.18293
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author Whitworth, D. J.
Srinivasan, S.
Pudritz, R. E.
Mac Low, M. -M.
Eadie, G.
Palau, A.
Soler, J. D.
Smith, R. J.
Pattle, K.
Robinson, H.
Pillsworth, R.
Wadsley, J.
Brucy, N.
Lebreuilly, U.
Hennebelle, P.
Girichidis, P.
Gent, F. A.
Marin, J.
Valido, L. Sánchez
Camacho, V.
Klessen, R. S.
Vázquez-Semadeni, E.
author_facet Whitworth, D. J.
Srinivasan, S.
Pudritz, R. E.
Mac Low, M. -M.
Eadie, G.
Palau, A.
Soler, J. D.
Smith, R. J.
Pattle, K.
Robinson, H.
Pillsworth, R.
Wadsley, J.
Brucy, N.
Lebreuilly, U.
Hennebelle, P.
Girichidis, P.
Gent, F. A.
Marin, J.
Valido, L. Sánchez
Camacho, V.
Klessen, R. S.
Vázquez-Semadeni, E.
contents The magnetic field strength to gas density relation in the interstellar medium is of fundamental importance. We present and compare Bayesian analyses of the B-n relation for two comprehensive observational data sets: a Zeeman data set and 700 observations using the Davis-Chandrasekhar-Fermi (DCF) method. Using a hierarchical Bayesian analysis we present a general, multi-scale broken power-law relation, $B=B_0(n/n_0)^α$ , with $α=α_1$ for $n<n_0$ and $α_2$ for $n>n_0$, and with $B_0$ the field strength at $n_0$. For the Zeeman data we find: $α_1={0.15^{+0.06}_{-0.09}}$ for diffuse gas and $α_2 = {0.53^{+0.09}_{-0.07}}$ for dense gas with $n_0 = 4.00^{+12.7}_{-2.90} \times 10^3$ cm$^{-3}$. For the DCF data we find: $α_1={0.26^{+0.15}_{-0.15}}$ and $α_2={0.77_{-0.15}^{+0.14}}$, with $n_0=13.9^{+10.1}_{-7.30} \times 10^4$ cm$^{-3}$, where the uncertainties give 68\% credible intervals. We perform a similar analysis on nineteen numerical magnetohydrodynamic simulations covering a wide range of physical conditions from protostellar disks to dwarf and Milky Way-like galaxies, completed with the AREPO, Flash, Pencil, and Ramses codes. The resulting exponents depend on several physical factors such as dynamo effects and their time scales, turbulence, and initial seed field strength. \textcolor{red}{We find that the dwarf and Milky Way-like galaxy simulations produce results closest to the observations.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18293
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the relation between magnetic field strength and gas density in the interstellar medium: A multiscale analysis
Whitworth, D. J.
Srinivasan, S.
Pudritz, R. E.
Mac Low, M. -M.
Eadie, G.
Palau, A.
Soler, J. D.
Smith, R. J.
Pattle, K.
Robinson, H.
Pillsworth, R.
Wadsley, J.
Brucy, N.
Lebreuilly, U.
Hennebelle, P.
Girichidis, P.
Gent, F. A.
Marin, J.
Valido, L. Sánchez
Camacho, V.
Klessen, R. S.
Vázquez-Semadeni, E.
Astrophysics of Galaxies
The magnetic field strength to gas density relation in the interstellar medium is of fundamental importance. We present and compare Bayesian analyses of the B-n relation for two comprehensive observational data sets: a Zeeman data set and 700 observations using the Davis-Chandrasekhar-Fermi (DCF) method. Using a hierarchical Bayesian analysis we present a general, multi-scale broken power-law relation, $B=B_0(n/n_0)^α$ , with $α=α_1$ for $n<n_0$ and $α_2$ for $n>n_0$, and with $B_0$ the field strength at $n_0$. For the Zeeman data we find: $α_1={0.15^{+0.06}_{-0.09}}$ for diffuse gas and $α_2 = {0.53^{+0.09}_{-0.07}}$ for dense gas with $n_0 = 4.00^{+12.7}_{-2.90} \times 10^3$ cm$^{-3}$. For the DCF data we find: $α_1={0.26^{+0.15}_{-0.15}}$ and $α_2={0.77_{-0.15}^{+0.14}}$, with $n_0=13.9^{+10.1}_{-7.30} \times 10^4$ cm$^{-3}$, where the uncertainties give 68\% credible intervals. We perform a similar analysis on nineteen numerical magnetohydrodynamic simulations covering a wide range of physical conditions from protostellar disks to dwarf and Milky Way-like galaxies, completed with the AREPO, Flash, Pencil, and Ramses codes. The resulting exponents depend on several physical factors such as dynamo effects and their time scales, turbulence, and initial seed field strength. \textcolor{red}{We find that the dwarf and Milky Way-like galaxy simulations produce results closest to the observations.
title On the relation between magnetic field strength and gas density in the interstellar medium: A multiscale analysis
topic Astrophysics of Galaxies
url https://arxiv.org/abs/2407.18293