Steven Tobias: list of publications

Refereed Articles

                                                                     

2011

• Mizerski, Krzysztof A.; Tobias, Steven M., 2011, The effect of stratification and compressibility on anelastic convection in a rotating plane layer GAFD, 105, 566
  
• Weliwita, J. A., Rucklidge, A. M., Tobias, S. M., 2011, Skew-varicose instability in two dimensional generalised Swift-Hohenberg equations, Phys. Rev. E., 84, 036201
  
• Tobias, S. M., Cattaneo, F. & Brummell, N.H., 2011, On the generation of organised magnetic fields, Astrophysical Journal, 728, 153
• Tobias, S. M., Dagon, K. & Marston, J.B., 2011, Astrophysical Fluid Dynamics via Direct Statistical Simulation, Astrophysical Journal, 727, 127
  

2010

• Berkoff, N. A., Kersale, E., Tobias, S. M., 2010, Comparison of the anelastic approximation with fully compressible equations for linear magnetoconvection and magnetic buoyancy, Geophysical & Astrophysical Fluid Dynamics, vol. 104, issue 5, pp. 545-563
• Brummell, N.H., Tobias, S.M. & Cattaneo, F., 2010, Dynamo efficiency in compressible dynamos with and without penetration, Geophysical & Astrophysical Fluid Dynamics, 104, 565-576
  
• Houghton, S.M., Knobloch, E. Tobias, S.M. & Proctor, M.R.E., 2010, Transient spatio-temporal chaos in the complex Ginzburg-Landau equation on long domains, Physics Letters A, 374, 2030-2034.
  
• Livermore, P.W., Hughes, D.W. & Tobias S.M. 2010, Nonlinear generation of large-scale magnetic fields in forced spherical shell dynamos Physics of Fluids, 22, 037101.

2009

• Jones, C.A., Thompson, M.J. & Tobias, S.M. 2009 The Solar Dynamo, SSRv
  
• Courvoisier A., Hughes D.W. & Tobias S.M. 2009, "Mean induction and diffusion: the influence of spatial coherence, JFM, 627, 403-421.   
• Cattaneo, F. & Tobias, S.M., 2009, Dynamo properties of the turbulent velocity field of a saturated dynamo, JFM, 621 , 205 - 214.
• Houghton, S.M., Tobias, S.M., Knobloch, E. & Proctor, M.R.E., 2009. Bistability in the Complex Ginzburg-Landau equation with drift, Physica D, 238(2) 184-196.

• Abreu, J.A., J. Beer, F. Steinhilber, S. M. Tobias, & N. O. Weiss, 2008, For how long will the current grand maximum of solar activity persist?,  Geophys. Res. Lett., 35, L20109.
• Mason, J., Hughes, D.W. & Tobias, S.M., 2008, The effects of flux transport on interface dynamos, MNRAS, 391, 467-480.
• Tobias, S.M., 2008, The Solar Dynamo: The Solar Dynamo: The role of penetration, rotation and shear on convective dynamos, Accepted for publication in Space Science Reviews.
• Rashid, F.Q., Jones, C.A. & Tobias, S.M., 2008, Hydrodynamic instabilities in the solar tachocline, A&A, 488, 819-827
• Brummell, N.H., Tobias, S.M.,  Thomas, J.H. & Weiss, N.O., 2008, Flux pumping and magnetic fields in the outer prnumbra of a sunspot, ApJ, 686, 1454
• Tobias, S.M., Cattaneo, F. & Brummell, N.H., 2008, Convective dynamos with penetration, rotation, and shear, ApJ, 685, 596-605
• Tobias, S.M. & Cattaneo, F., 2008, Limited role of spectra in dynamo theory: coherent versus random dynamos,  Phys. Rev. Lett.,  101, 125003
• Tobias S.M. & Cattaneo, F., 2008, Dynamo action in complex flows: the quick and the fast, JFM, 601, 101-122

• Tobias S.M. & Weiss, N.O., 2007, Stellar Dynamos, in "Mathematical Aspects of Natural Dynamos" eds Dormy, E. & Soward, A.M., p. 281-312, C.R.C. Press (Taylor & Francis)
• Tobias, S.M. & Weiss, N.O., 2007, The Solar Dynamo and the Tachocline, in "The Solar Tachocline" eds Hughes, D.W., Rosner, R. & Weiss, N.O., p. 319-350, C.U.P. (Cambridge)
• Tobias, S.M., Hughes, D.W. & Diamond, P.H., 2007, Beta-plane Magnetohydrodynamic Turbulence in the Solar Tachocline, ApJ, 667, L113-L116
• Bushby, P.J. & Tobias, S.M., 2007, On Predicting the Solar Cycle Using Mean-Field Models, ApJ, 661, 1289-1296
• Kersalé, E., Hughes, D.W. & Tobias, S.M., 2007, The Nonlinear Evolution of Instabilities Driven by Magnetic Buoyancy: A New Mechanism for the Formation of Coherent Magnetic Structures, ApJ, 663, L113-L116
• Livermore, P.W., Hughes, D.W., & Tobias, S.M., 2007, The role of helicity and stretching in forced kinematic dynamos in a spherical shell, Physics of Fluids, 19, 057101

• Thomas, J. H., Weiss, N. O., Tobias, S. M. & Brummell, N. H., 2006, On the fine structure of magnetic fields in sunspot penumbrae, Astronomy and Astrophysics, Volume 452, Issue 3
• Courvoisier, A., Hughes, D.W. & Tobias, S.M, 2006,   α Effect in a Family of Chaotic Flows ,Physical Review Letters, vol. 96, Issue 3 
• Kersalé, E., Hughes, D.W., Ogilvie, G.I. & Tobias, S.M., 2006, Global MagnetoRotational Instability with Inflow. II. The nonlinear development of axisymmetric wall modes, Astrophysical Journal., 638, 382. 

• Cattaneo, F. & Tobias, S.M, 2005,  Interaction between dynamos at different scales  Phys. Fluids 17, 127105.
• Wilmot-Smith, A.L., Martens, P.C.H., Nandy, D., Priest, E.R. & Tobias, S.M., 2005, Low-order stellar dynamo models, Mon. Not. Roy. Astron. Soc., 363, 1167 1172. 

• Tobias, S.M., 2004, The Solar Tachocline: formation, stability and its role in the solar dynamo in  Fluid Dynamics and Dynamos in Astrophysics and Geophysics, ed. Soward, Jones, Hughes & Weiss, Chapter 7 pp. 193 234
• Tobias, S.M.& Hughes, D.W., 2004, The Influence of Velocity Shear on Magnetic Buoyancy Instability in the Solar Tachocline, Astrophysical Journal., 603, 785-802.
• Kersalé, E., Hughes, D.W., Ogilvie, G.I., Tobias, S.M. & Weiss, N.O., 2004, Global MagnetoRotational Instability with Inflow. I. Linear Theory and the Role of Boundary Conditions, Astrophysical Journal., 602 , 892 303. 2 
• Weiss, N.O., Thomas, J.H. Brummell, N.H. & Tobias, S.M., 2004, The Origin of Penumbral Structure in Sunspots: Downward Pumping of Magnetic Flux, Astrophysical Journal., 600, 1073 1090. 
• Llewellyn-Smith, S.G. & Tobias, S.M., 2004 Vortex Dynamos, Journal of Fluid Mechanics 498, 1 21.

• Thomas JH, Weiss NO, Tobias SM & Brummell, N.H., 2002, Magnetic flux pumping and the structure of a sunspot penumbra, Astron. Nachr., 323, 383 386. 
• Tobias, S.M., 2002, Modulation of solar and stellar dynamos, Astron. Nachr., 323, 417  423.
• Mason, J., Hughes D.W. & Tobias, S.M., 2002, The competition in the solar dynamo between surface and deep-seated alpha-effects, Astrophys. J. Letters, 580, L89 L92.
• Tobias, S.M., 2002, The Solar Dynamo, Phil. Trans. A, 360 , 2741 2756.
• Thomas, J.H., Weiss, N.O., Tobias, S.M. & Brummell, N.H., 2002, Downward pumping of magnetic flux and the fine structure of a sunspot penumbra, Nature, 420, 390 393.

• Hughes D.W. & Tobias, S.M., 2001, On the instability of magnetohydrodynamic shear flows, Proc. Roy. Soc. London A, 457, 1365 1384.
• Tobias, S.M., Brummell, N.H., Clune, T.L.. & Toomre, J., 2001, Transport and storage of magnetic fields by overshooting turbulent compressible convection, Astrophys. J, 549, pp. 1183 1203.
• Brummell, N.H., Cattaneo, F. & Tobias, S.M., 2001, Linear and nonlinear dynamo properties of time-dependent ABC flows, Fluid Dynamics Research, 28, 237 265

• Proctor, M.R.E., Tobias, S.M. & Knobloch, E., 2000 Noise-sustained structures due to convective instability in finite domains, Physica D, 145, 191-206. 
• Tobias, S.M. & Weiss, N.O., 2000, Resonant interactions between solar activity and climate, J. Climate, 13, 3745-3759. 
• Julien, K., Knobloch, E. & Tobias, S.M., 2000, Strongly nonlinear magnetoconvection in the presence of oblique fields, J. Fluid Mech. 410, 285-322.

• Tobias, S.M. & Weiss, N.O., 1999, Solar magnetic field poses problems, Physics World, p.56, December 1999. 
• Julien, K., Knobloch, E. & Tobias, S.M., 1999, Strongly nonlinear magnetoconvection in three dimensions, Physica D, 128, 105 129.

• Tobias, S.M., Brummell, N.H., Clune, T.L.. & Toomre, J., 1998, Pumping of magnetic fields by turbulent penetrative convection, Astrophys. J. Letters, 502, L177 L180. 1 
• Tobias, S.M. & Knobloch, E., 1998, On the breakup of spiral waves into chemical turbulence, Phys. Rev. Lett., 80, 4811 4814. 
• Knobloch, E., Tobias, S.M. & Weiss, N.O., 1998, Modulation and symmetry changes in stellar dynamos, Mon. Not. Roy. Ast. Soc., 297, 1123 1138
• Brummell, N.H., Cattaneo, F. & Tobias, S.M., 1998, Linear and nonlinear dynamos, Physics Letters A, 249, 437 442.
• Tobias, S.M., 1998, Relating stellar magnetic cycle periods to dynamo calculations, Mon. Not. Roy. Astron. Soc., 296, 653 661.
• Beer, J., Tobias, S.M. & Weiss, N.O., 1998, An active sun throughout the Maunder minimum, Solar Physics, 181, 237 249. 
• Tobias, S.M., Proctor, M.R.E. & Knobloch, E., 1998, Convective and absolute instabilities of fluid flows in finite geometry, Physica 113D, 43 72.

• Tobias, S.M., 1997, Properties of nonlinear dynamo waves, Geophys. Astrophys. Fluid Dyn., 86, 287 343.
• Tobias, S.M., 1997, The solar cycle: parity interactions and amplitude modulation, Astronomy & Astrophysics, 322, 1007 1017. 
•  Meunier, N., Proctor, M.R.E., Sokoloff , D.D., Soward, A.M. & Tobias, S.M., 1997, Asymptotic properties of a nonlinear  alpha-omega dynamo wave: Period, Amplitude and Latitude Dependence, Geophys. Astrophys. Fluid Dyn., 86, 249 285. 
• Tobias, S.M., Proctor, M.R.E. & Knobloch, E., 1997, The role of absolute instability in the solar dynamo, Astronomy & Astrophysics, 318, L55 58.
•  Worledge, D., Knobloch, E., Tobias, S.M. & Proctor, M.R.E., 1997, Dynamo waves in semi-infinite and finite domains, Proc. Roy. Soc. London A, 453, 119 143.

•  Tobias, S.M., 1996 Grand Minima in nonlinear dynamos, Astronomy & Astrophysics, 307, L21 L24.
•  Tobias, S.M., 1996, Diffusivity quenching as a mechanism for Parker s surface dynamo, Astrophys. J., 467, 870 880.

• Tobias, S.M., Weiss, N.O. & Kirk, V., 1995, Chaotically modulated stellar dynamos, Mon. Not. Roy. Astron. Soc., 273, 1150 1166.