M. R. E. Proctor
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View article: Mean field responses in disordered systems: an example from nonlinear MHD
Mean field responses in disordered systems: an example from nonlinear MHD Open
Understanding the generation of large-scale magnetic fields and flows in magnetohydro-dynamical (MHD) turbulence remains one of the most challenging problems in astrophysical fluid dynamics. Although much work has been done on the kinemati…
View article: Bounds on Energies and Dissipation Rates in Forced Dynamos
Bounds on Energies and Dissipation Rates in Forced Dynamos Open
This paper is concerned with limits on kinetic and magnetic energies and dissipation rates in forced flows that lead to dynamo action and a finite amplitude magnetic field. Rigorous results are presented giving upper and lower limits on th…
View article: Maxwell–Cattaneo double-diffusive convection: limiting cases
Maxwell–Cattaneo double-diffusive convection: limiting cases Open
Double-diffusive convection, in which a fluid is acted upon by two fields (such as temperature and salinity) that affect the density, has been widely studied in areas as diverse as the oceans and stellar atmospheres. Assuming classical Fic…
View article: Nigel Oscar Weiss
Nigel Oscar Weiss Open
Astrophysicist and applied mathematician Nigel Oscar Weiss, who made many fundamental contributions to our understanding of magnetohydrodynamics (MHD) and the Sun’s magnetic field, died on 24 June 2020 in Cambridge, UK. Nigel Oscar Weiss J…
View article: The convective instability of a Maxwell–Cattaneo fluid in the presence of a vertical magnetic field
The convective instability of a Maxwell–Cattaneo fluid in the presence of a vertical magnetic field Open
We study the instability of a Bénard layer subject to a vertical uniform magnetic field, in which the fluid obeys the Maxwell–Cattaneo (MC) heat flux–temperature relation. We extend the work of Bissell ( Proc. R. Soc. A 472, 20160649 (doi:…
View article: Quasi-cyclic behaviour in non-linear simulations of the shear dynamo
Quasi-cyclic behaviour in non-linear simulations of the shear dynamo Open
The solar magnetic field displays features on a wide range of length-scales including spatial and temporal coherence on scales considerably larger than the chaotic convection that generates the field. Explaining how the Sun generates and s…
View article: Elastohydrodynamic synchronization of adjacent beating flagella
Elastohydrodynamic synchronization of adjacent beating flagella Open
It is now well established that nearby beating pairs of eukaryotic flagella or cilia typically synchronize in phase. A substantial body of evidence supports the hypothesis that hydrodynamic coupling between the active filaments, combined w…
View article: Destruction of large-scale magnetic field in non-linear simulations of the shear dynamo
Destruction of large-scale magnetic field in non-linear simulations of the shear dynamo Open
The Sun's magnetic field exhibits coherence in space and time on much larger scales than the turbulent convection that ultimately powers the dynamo. In the past the α-effect (mean-field) concept has been used to model the solar cycle, but …