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arXiv:1109.0028 (Published 2011-08-31)
Regulation of Star Formation Rates in Multiphase Galactic Disks: Numerical Tests of the Thermal/Dynamical Equilibrium Model
Comments: 64 pages, 15 figures, accepted by the ApJCategories: astro-ph.GAKeywords: star formation rates, multiphase galactic disks, thermal/dynamical equilibrium model, numerical tests, thermal pressureTags: journal articleWe use vertically-resolved numerical hydrodynamic simulations to study star formation and the interstellar medium (ISM) in galactic disks. We focus on outer disk regions where diffuse HI dominates, with gas surface densities Sigma_SFR=3-20 Msun/kpc^2/yr and star-plus-dark matter volume densities rho_sd=0.003-0.5 Msun/pc^3. Star formation occurs in very dense, cold, self-gravitating clouds. Turbulence, driven by momentum feedback from supernova events, destroys bound clouds and puffs up the disk vertically. Time-dependent radiative heating (FUV) offsets gas cooling. We use our simulations to test a new theory for self-regulated star formation. Consistent with this theory, the disks evolve to a state of vertical dynamical equilibrium and thermal equilibrium with both warm and cold phases. The range of star formation surface densities and midplane thermal pressures is Sigma_SFR ~ 0.0001 - 0.01 Msun/kpc^2/yr and P_th/k_B ~ 100 -10000 cm^-3 K. In agreement with observations, turbulent velocity dispersions are ~7 km/s and the ratio of the total (effective) to thermal pressure is P_tot/P_th~4-5, across this whole range. We show that Sigma_SFR is not well correlated with Sigma alone, but rather with Sigma*(rho_sd)^1/2, because the vertical gravity from stars and dark matter dominates in outer disks. We also find that Sigma_SFR has a strong, nearly linear correlation with P_tot, which itself is within ~13% of the dynamical-equilibrium estimate P_tot,DE. The quantitative relationships we find between Sigma_SFR and the turbulent and thermal pressures show that star formation is highly efficient for energy and momentum production, in contrast to the low efficiency of mass consumption. Star formation rates adjust until the ISM's energy and momentum losses are replenished by feedback within a dynamical time.
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Numerical Tests of Fast Reconnection in Weakly Stochastic Magnetic Fields
Comments: 22 pages, 20 figuresJournal: Astrophys.J.700:63-85,2009Categories: astro-ph.GA, astro-ph.SRKeywords: weakly stochastic magnetic fields, fast reconnection, numerical tests, turbulence, dependenceTags: journal articleWe study the effects of turbulence on magnetic reconnection using 3D numerical simulations. This is the first attempt to test a model of fast magnetic reconnection in the presence of weak turbulence proposed by Lazarian & Vishniac (1999). This model predicts that weak turbulence, generically present in most of astrophysical systems, enhances the rate of reconnection by reducing the transverse scale for reconnection events and by allowing many independent flux reconnection events to occur simultaneously. As a result the reconnection speed becomes independent of Ohmic resistivity and is determined by the magnetic field wandering induced by turbulence. To quantify the reconnection speed we use both an intuitive definition, i.e. the speed of the reconnected flux inflow, as well as a more sophisticated definition based on a formally derived analytical expression. Our results confirm the predictions of the Lazarian & Vishniac model. In particular, we find that Vrec Pinj^(1/2), as predicted by the model. The dependence on the injection scale for some of our models is a bit weaker than expected, i.e. l^(3/4), compared to the predicted linear dependence on the injection scale, which may require some refinement of the model or may be due to the effects like finite size of the excitation region. The reconnection speed was found to depend on the expected rate of magnetic field wandering and not on the magnitude of the guide field. In our models, we see no dependence on the guide field when its strength is comparable to the reconnected component. More importantly, while in the absence of turbulence we successfully reproduce the Sweet-Parker scaling of reconnection, in the presence of turbulence we do not observe any dependence on Ohmic resistivity, confirming that our reconnection is fast.