1985
DOI: 10.1086/184523
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Turbulence in molecular clouds - A new diagnostic tool to probe their origin

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Cited by 5 publications
(3 citation statements)
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“…where P and ρ are the gas mean pressure and density, Ω k is the Keplerian frequency, v φ is the mean relative transverse velocity between particles and gas, v r the mean relative radial velocity, V r the mean gas radial velocity (from Hughes & Armitage (2010)), t s * the stopping time of the particle, Sc the Schmidt number, D the diffusion coefficient, r the heliocentric distance and ρ d the global solid particles density. For numerical simplicity we follow Stepinski & Valageas (1996) in choosing D = 3ν, a value consistent with more detailed numerical values of D (Canuto & Battaglia 1988), and which cancels the third term in the second equation. The presence of a strong vertical magnetic field though might affect the value of D (Johansen et al 2006).…”
Section: The Evolution Of Solidsmentioning
confidence: 99%
“…where P and ρ are the gas mean pressure and density, Ω k is the Keplerian frequency, v φ is the mean relative transverse velocity between particles and gas, v r the mean relative radial velocity, V r the mean gas radial velocity (from Hughes & Armitage (2010)), t s * the stopping time of the particle, Sc the Schmidt number, D the diffusion coefficient, r the heliocentric distance and ρ d the global solid particles density. For numerical simplicity we follow Stepinski & Valageas (1996) in choosing D = 3ν, a value consistent with more detailed numerical values of D (Canuto & Battaglia 1988), and which cancels the third term in the second equation. The presence of a strong vertical magnetic field though might affect the value of D (Johansen et al 2006).…”
Section: The Evolution Of Solidsmentioning
confidence: 99%
“…However, it has been demonstrated that in a standard viscously driven accretion disk, unless the ratio of magnetic diffusivity to viscosity (the inverse magnetic Prandtl number) in the disk is very small (comparable to H/R), such inward advection of field does not take place (Lubow, Papaloizou, & Pringle 1994a;Reyes-Ruiz & Stepinski 1996;Heyvaerts, Priest, & Bardou 1996). It is important to note, however, that in a disk in which the angular momentum transport is mainly due to the effects of self-sustaining hydromagnetic turbulence (Balbus & Hawley 1991;Hawley, Gammie, & Balbus 1995, 1996Stone, Hawley, Gammie & Balbus 1996;Brandenburg, Nordlund, Stein, & Torkelsson 1995), the magnetic Prandtl number is likely to be of order unity (Parker 1971;Pouquet, Frisch & Léorat 1976;Zel'dovich, Ruzmaikin, & Sokoloff 1983;Canuto & Battaglia 1988). Thus, if the disk surrounding the black hole is at any radius a standard accretion disk in which the dominant mode of angular momentum loss is by viscous transport within the disk, poloidal magnetic flux cannot be simply advected inwards from infinity.…”
Section: Advection Of Poloidal Field: Standard Accretion Diskmentioning
confidence: 99%
“…More detailed models of turbulent disks suggested that a large-scale, weak magnetic field such as that shown in Figure 1 in fact will diffuse outward rapidly (van Ballegooijen 1989;Lubow, Papaloizou, & Pringle 1994) if the turbulent magnetic diffusivity and turbulent viscosity are of similar order of magnitude, as they are expected to be (Parker 1971;Bisnovatyi-Kogan & Ruzmaikin 1976;Canuto & Battaglia 1988)-the turbulence responsible for driving the accretion also leads to enhanced reconnection of the large-scale radial field across the thickness of the disk, thereby causing the vertical field to diffuse away. This cast doubt on the idea that weak fields could be dragged inward and compressed by advection.…”
Section: Introductionmentioning
confidence: 99%