Rainer Hollerbach

Prof. Rainer Hollerbach

Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
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Academic Career Length

36Years (1991-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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24 June 2004
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GRGünther Rüdiger
Günther Rüdiger
RHRainer Hollerbach
Rainer Hollerbach
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1 November 2006 in Physical Review Letters
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FSFrank Stefani
Frank Stefani
TGThomas Gundrum
Thomas Gundrum
GGGunter Gerbeth
Gunter Gerbeth
GRGünther Rüdiger
Günther Rüdiger
MSManfred Schultz
Manfred Schultz
RHRainer Hollerbach
Rainer Hollerbach
A recent Letter [R. Hollerbach and G. Rüdiger, Phys. Rev. Lett. 95, 124501 (2005)] has shown that the threshold for the onset of the magnetorotational instability in a Taylor-Couette flow is dramatically reduced if both axial and azimuthal magnetic fields are imposed. In agreement with this prediction, we present results of a Taylor-Couette experiment with the liquid metal alloy GaInSn, showing evidence for the existence of the magnetorotational instability at Reynolds numbers of order 1000 and Hartmann numbers of order 10.

1 October 1993 in Nature
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RHRainer Hollerbach
Rainer Hollerbach
CJChris A. Jones
Chris A. Jones

14 September 2005 in Physical Review Letters
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RHRainer Hollerbach
Rainer Hollerbach
GRGünther Rüdiger
Günther Rüdiger
We study the stability of cylindrical Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields, and show that adding an azimuthal field profoundly alters the previous results for purely axial fields. For small magnetic Prandtl numbers Pm, the critical Reynolds number Rec for the onset of the magnetorotational instability becomes independent of Pm, whereas for purely axial fields it scales as Pm−1. For typical liquid metals, Rec is then reduced by several orders of magnitude, enough that this new design should succeed in realizing this instability in the laboratory.

15 April 2000 in International Journal for Numerical Methods in Fluids
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RHRainer Hollerbach
Rainer Hollerbach

28 March 2016 in Proceedings of the National Academy of Sciences
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KGKonstantinos Gourgouliatos
Konstantinos Gourgouliatos
Toby Steven WoodToby Steven Wood
Toby Steven Wood
RHRainer Hollerbach
Rainer Hollerbach
Significance: The observed diversity of magnetars indicates that their magnetic topology is more complicated than a simple dipole. Current models of their radiative emission, based on axially symmetric simulations, require the presence of a concealed toroidal magnetic field having up to 100 times more energy than the observed dipole component, but the physical origin of such a field is unclear. Our fully 3D simulations of the crustal magnetic field demonstrate that magnetic instabilities operate under a range of plausible conditions and generate small-scale field structures that are an order of magnitude stronger than the large-scale field. The Maxwell stress and Ohmic heating from these structures can explain magnetar bursts and surface hotspots, using comparable poloidal and toroidal magnetic fields.