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Constraint on the relation between B φ and HBHa perturbation in the vertical directionPresumption: duringathermalperturbationR• δ Bϕ δ H , γ isafree parameter which is positive.Bϕ= −γH•γThe integrated formof this relation Φγ≡ BϕH = const holds . true withinathermal timescale.• Alargerγ denotesstronger reactionof B φ onthe perturbationofH(orT).BHthe scale height increases and the meantoroidal magnetic field becomes weakerPartially supported by the simulations ofmagnetic thick disks (Machida et al. 2006)RHB φ7
II.2 Perturbation Analysis• Relations between the first order perturbationδof each physical quantityP1H1Σ= , 1Trϕ,1 P= 0,1H P1 mag,1H= + , = −2γP0H0 Σ0 Trϕ,0P0H0Pmag,0H(t vis >> t th )PP1T1Σ1H1T1mag ,1= βgas⋅(+ − ) + 4(1 − βgas− βmag) ⋅ + βmag⋅P0T0Σ0H0T0Pmag, 010BBϕϕδ= −γβ gas= P gas/Pβ mag= P mag/PHHQQ+vis,1−vis,0T=Trϕ,1rϕ,0P1=P0H+H10,QQ−rad ,1−rad ,0T= 4T10Σ−ΣWe express the perturbation of eachphysical quantity in terms of T 1 /T 0 , i.e.10,QQ−adv,1−adv,0T=Trϕ,1rϕ,00H+ 2 HX1 =X10TF(T10)8
Page 1 and 2: Revisiting the Thermal Stability of
Page 3 and 4: I.1 Instability of the SSD• Shaku
Page 5 and 6: I.2 Accretion Disks with Toroidal M
Page 7: II.1 Equations of Local Disk Soluti
Page 11 and 12: II.3 Thermal Instability Properties
Page 13 and 14: III. Summary• By assuming that th

Revisiting the Thermal Stability of Radiation ... - Users' Pages

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