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Department of Applied Mathematics and Theoretical Physics


  • 1974-2013 Fellow of Trinity College
  • 1975- 1977 Postdoc and assistant Professor, MIT
  • 1977- 1991 Lecturer, DAMTP
  • 1977-2013 College Lecturer, Trinity
  • 1979-1991, 1992-1994 Tutor, Trinity
  • 1994-2000 Reader, DAMTP
  • 1994-2006 Dean of College, Trinity
  • 2000-present Professor of Astrophysical Fluid dynamics, DAMTP
  • 2006-2012 Vice-Master, Trinity
  • 2013-present Provost, King's College


Effects of fluctuations and shear on mean field dynamos. Effect of shear on convective dynamo action. Magnetic buoyancy instability induced by shear flow. Effects of distant boundaries on pattern-forming instabilities with drift

Selected Publications

  • J. G. Wissink, P. C. Matthews, D. W. Hughes, and M. R. E. Proctor. Numerical Simulation of Buoyant Magnetic Flux Tubes. Astrophys. J., 536:982-997, 2000.
  • A.M. Rucklidge, N.O. Weiss, D.P. Brownjohn, P.C. Matthews, and M.R.E. Proctor. Compressible magnetoconvection in three dimensions: pattern formation in a strongly stratified layer. J. Fluid Mech., 419:283-323, 2000.
  • M.R.E. Proctor, S.M.Tobias, and E.Knobloch. Noise-sustained structures due to convective insta- bility in finite domains. Physica D, 138:674-683, 2000.
  • A. Abdulrahman, C.A . Jones, M. R. E. Proctor, and K. A. Julien. Large wavenumber convection in the rotating annulus. Geophys. Astrophys. Fluid Dyn., 93:227-252, 2000.
  • I.Melbourne, M.R.E. Proctor, and A.M.Rucklidge. A heteroclinic model of geodynamo reversals and excursions. In G. Dangelmayr P. Chossat and J. Oprea, editors, Dynamo and Dynamics: a Mathematical Challenge, pages 363-370. Kluwer, Dordrecht, 2001.
  • M.R.E. Proctor. Finite amplitude behaviour of the Matthews-Cox instability. Physics Letters A, 292:181-187, 2001.
  • A.R. Halford and M.R.E. Proctor. An oscillatory secondary bifurcation for magnetoconvection and rotating convection at small aspect ratio. J. Fluid Mech, 467:241-257, 2002.
  • N. O. Weiss, M. R. E. Proctor, and D. P. Brownjohn. Magnetic flux separation in photospheric convection. Mon. Not. R. Ast. Soc., 337:293-304, 2002.
  • M.R.E. Proctor. Dynamo processes: the interaction of magnetic fields and turbulence. Invited review in: Thompson and Christiansen-Dalsgaard, editors, New developments in astrophysical fluid dynamics. Cambridge, 2003.
  • G. I. Ogilvie and M.R.E. Proctor. On the relation between viscoelastic and magnetohydrodynamic flows and their instabilities. J. Fluid Mech., 476:389-409, 2003.
  • M.R.E. Proctor. An extension of the toroidal theorem. Geophys. Astrophys. Fluid. Dyn 98:235-240, 2004.
  • J. H. P. Dawes, C. M. Postlethwaite, and M. R. E. Proctor. Instabilities induced by a weak breaking of a strong spatial resonance. Physica D 191:1-30, 2004.
  • M.R.E.Proctor. Magnetoconvection. Invited review in: Fluid dynamics and dynamos in astrophysics and geophysics, ed. Soward, Jones, Hughes and Weiss, CRC Press, pp 235-276, 2005.
  • A.M.Rucklidge, M.R.E.Proctor & J.A.Prat. Mean flow instabilities of two-dimensional convection in strong magnetic fields. Geophys. Astrophys. Fluid Dyn. 100:121-138, 2006.
  • M.R.E.Proctor. Dynamo Action and the Sun.In Stellar Fluid Dynamics and Numerical Simulations: From the Sun to Neutron Stars. M.Rieutord and B. Dubrulle (eds). EAS Publications Series, 21:241-273, 2006.
  • M.R.E.Proctor. Introduction to dynamo theory. Invited chapter in"Mathematical aspects of natural dynamos", ed. E. Dormy and A.M Soward, pp. 20-41 , CRC Press, Boca Raton 2007.
  • A. B. Iskakov, A. A. Schekochihin, S. C. Cowley, J. C. McWilliams and M. R. E. Proctor. Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers. Phys. Rev. Lett. 98:208501, 2007.
  • A.A. Schekochihin, A.B.Iskakov, S.C. Cowley, J.C. McWilliams, M.R.E.Proctor % T.A.Yousef. Fluc- tuation dynamo and turbulent induction at low magnetic Prandtl numbers. New Journal of Physics, 9:300, 2007.
  • L.J.Silvers & M.R.E.Proctor. Interaction of multiple convection zones in A-type stars. Mon. Not. R. A. S. 380: 44-50, 2007.
  • F. Rincon, G. I. Ogilvie & M. R. E. Proctor. A self-sustaining nonlinear dynamo process in Keplerian shear flows. Phys. Rev. Lett. 98:254502, 2007.
  • Rebecca B. Hoyle, Alexandra T. Anghel, Michael R. Proctor, & David A. King. Pattern Formation during the Oxidation of CO on Pt100: A Mesoscopic Model. Phys. Rev. Lett. 98:226102, 2007.
  • Michael.R.E.Proctor. Effects of fluctuation on alpha-omega dynamo models.Mon. Not. R. A. S. 382: L39-L42, 2007.
  • J.H.P.Dawes and M.R.E.Proctor. Turing-type instabilities due to strong spatial resonance. Proc. Roy. Soc A 464:923-942, 2008.
  • H. Isobe, M. R. E. Proctor & N. O. Weiss. Convection-driven emergence of granular scale magnetic field and its role in coronal heating and solar wind acceleration. Astrophys.J. Lett., 679:L57-L60, 2008.
  • P. J. Bushby, S. M. Houghton, M. R. E. Proctor & N. O. Weiss. Convective intensification of magnetic fields in the quiet Sun. Mon.Not. R.A.S., 387:698-706, 2008.
  • S. M. Houghton, S. M. Tobias, E. Knobloch & M. R. E. Proctor. Bistability in the Complex Ginzburg-Landau Equation with Drift. Physica D, in press, 2008.
  • V.V.Pipin & M.R.E. Proctor.Closure tests for mean field magnetohydrodynamics using a self con- sistent reduced model. Mon Not. R.A.S., 388:367-374, 2008.
  • F.Rincon, G.I.Ogilvie, M.R.E.Proctor & C.Cossu. Subcritical Dynamos in Shear Flows. Astr. Nachr., 329: 750-761,2008


Vortex Dynamics of Oscillating Flows
VA Vladimirov, MRE Proctor, DW Hughes
– Arnold Mathematical Journal
Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection
B Favier, LJ Silvers, MRE Proctor
– Physics of Fluids
NO Weiss, MRE Proctor
Kinematic dynamo action in square and hexagonal patterns
B Favier, MRE Proctor
– Physical Review E
Growth rate degeneracies in kinematic dynamos
B Favier, MRE Proctor
– Physical Review E
The effect of velocity shear on dynamo action due to rotating convection
DW Hughes, MRE Proctor
– Journal of Fluid Mechanics
How can large-scale twisted magnetic structures naturally emerge from buoyancy instabilities?
B Favier, L Jouve, W Edmunds, LJ Silvers, MRE Proctor
– Monthly Notices of the Royal Astronomical Society
From large-scale to small-scale dynamos in a spherical shell
KJ Richardson, R Hollerbach, MRE Proctor
– Physics of Fluids
Magnetic buoyancy instabilities in the presence of magnetic flux pumping at the base of the solar convection zone
AJ Barker, LJ Silvers, MRE Proctor, NO Weiss
– Monthly Notices of the Royal Astronomical Society
Fluctuating αΩ dynamos by iterated matrices
KJ Richardson, MRE Proctor
– Monthly Notices of the Royal Astronomical Society: Letters
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Research Group

Astrophysical Fluid Dynamics




01223 337913