Rainer Hollerbach
Professor
of Theoretical Fluid
Dynamics
Department of Applied Mathematics, University of Leeds, Leeds
LS2 9JT, U.K.
(currently on sabbatical in the
Earth and Planetary Magnetism group,
ETH Zürich)
rh@maths.leeds.ac.uk rainer.hollerbach@erdw.ethz.ch
+41 44 632 5185
Research
Interests
I am a member
of the Astrophysical
& Geophysical Fluids group. I am particularly interested
in theoretical/numerical modeling of liquid
metal lab experiments, as discussed in detail in the first two of the
items
below. I welcome email enquiries from potential PhD students.
Magnetorotational
Instabilities in
Taylor-Couette Flow
Magnetohydrodynamic
Spherical
Couette Flow
Dynamics of the
Earth's
Magnetic Field
The Hall Effect in
Neutron Stars
Publications
(Red
indicates work cited 20 or more times; for 50 or more citations the
specific number is also indicated.)
G. Rüdiger, R.
Hollerbach, The Magnetic Universe:
Geophysical
and Astrophysical Dynamo Theory, pp.
332, Wiley-VCH (2004) [124 citations].
Selected
Articles in Books
R. Hollerbach, A. Fournier,
End-effects in rapidly
rotating cylindrical Taylor-Couette flow,
R. Rosner, G. Rüdiger & A. Bonanno (Editors), MHD Couette Flows:
Experiments and Models, AIP Conference Proceedings, 733,
114-121, American Institute of Physics (2004).
R. Hollerbach,
The range of timescales on which the geodynamo operates,
V. Dehant, K. Creager, S.-I. Karato & S. Zatman (Editors), Earth's Core: Dynamics, Structure,
Rotation,
AGU Geodynamics Series, 31,
181-192, American
Geophysical Union (2003).
R. Hollerbach,
Super- and counter-rotating jets and vortices
in strongly magnetic spherical Couette flow,
P. Chossat, D. Armbruster & J. Oprea (Editors), Dynamo and Dynamics, a Mathematical
Challenge,
NATO Science Series II, 26,
189-197, Kluwer
Academic Publishers (2001).
R. Hollerbach, Magnetohydrodynamic
flows
in spherical shells,
C. Egbers & G. Pfister (Editors), Physics
of
Rotating Fluids, Lecture Notes in Physics, 549,
295-316, Springer (2000).
R. Hollerbach, M.R.E. Proctor,
Non-axisymmetric shear layers in a rotating spherical shell,
M.R.E. Proctor, P.C. Matthews & A.M. Rucklidge (Editors), Solar and Planetary Dynamos,
145-152,
Cambridge University Press (1993).
Papers in Refereed Journals
T. Kondic, G. Rüdiger, R. Hollerbach, The
shear-Hall instability in newborn neutron stars
Astronomy & Astrophysics,
535, L2:1-4 (2011).
M. Gellert, G. Rüdiger, R. Hollerbach, Helicity
and α-effect by current-driven instabilities of helical magnetic fields
Monthly Notices of the Royal Astronomical Society,
414, 2696-2701 (2011).
F. Feudel, K. Bergemann, L.S. Tuckerman, C. Egbers, B. Futterer,
M. Gellert, R. Hollerbach, Convection patterns
in a spherical fluid shell
Physical Review E, 83, 046304:1-8 (2011).
R.J. Teed, C.A. Jones, R. Hollerbach, Rapidly
rotating plane layer convection with zonal flow
Geophysical &
Astrophysical Fluid Dynamics, 104,
457-480 (2010).
G. Rüdiger, M. Gellert, M. Schultz, R. Hollerbach, Dissipative
Taylor-Couette flows under the influence of helical magnetic fields
Physical Review E, 82, 016319:1-10 (2010).
X. Wei, R. Hollerbach, Magnetic
spherical Couette flow in linear combinations of axial and
dipolar fields Acta Mechanica,
215, 1-8 (2010).
R. Hollerbach, V. Teeluck, G. Rüdiger, Nonaxisymmetric
magnetorotational instabilities in cylindrical
Taylor-Couette flow Physical
Review
Letters, 104,
044502:1-4 (2010).
C.J. Wareing, R. Hollerbach, Cascades
in decaying
three-dimensional electron magnetohydrodynamic
turbulence Journal of Plasma
Physics, 76,
117-128 (2010).
C.J. Wareing, R. Hollerbach, Hall
cascades versus instabilities in neutron star magnetic fields Astronomy & Astrophysics, 508, L39-42
(2009).
F. Stefani, G. Gerbeth, T. Gundrum, R. Hollerbach, J. Priede,
G. Rüdiger, J. Szklarski, Helical
magnetorotational instability
in a Taylor-Couette flow with strongly reduced Ekman pumping Physical Review E, 80, 066303:1-18 (2009).
R. Hollerbach, P.S. Cally, Nonlinear
evolution of axisymmetric twisted flux tubes in the solar
tachocline Solar Physics,
260, 251-260
(2009).
C.J. Wareing, R. Hollerbach, Forward
and inverse cascades in decaying two-dimensional electron
magnetohydrodynamic turbulence Physics
of Plasmas, 16,
042307:1-8 (2009).
R. Hollerbach, Instabilities
of Taylor columns in a rotating stratified fluid Physics Letters A, 373, 3775-3778 (2009).
R. Hollerbach, Non-axisymmetric
instabilities in magnetic
spherical Couette flow Proceedings
of the Royal Society A, 465,
2003-2013 (2009).
F. Stefani, G. Gerbeth, T. Gundrum, J. Szklarski, G.
Rüdiger,
R. Hollerbach, Liquid metal experiments
on the helical
magnetorotational
instability Magnetohydrodynamics,
45,
135-143 (2009).
T. von Larcher, B. Futterer, C. Egbers, R. Hollerbach, P. Chossat,
P. Beltrame, L. Tuckerman, F. Feudel, GeoFlow - European microgravity
experiments on thermal convection in rotating spherical shells under
influence of central force field Journal of
the Japan Society of Microgravity Application,
25, 121-126 (2008).
X. Wei, R. Hollerbach, Instabilities
of Shercliff and Stewartson layers in spherical Couette flow Physical Review E, 78, 026309:1-5
(2008).
F. Stefani, G. Gerbeth, T. Gundrum, J. Szklarski, G.
Rüdiger,
R. Hollerbach, Results
of a modified PROMISE experiment Astronomische
Nachrichten, 329,
652-658
(2008).
R. Hollerbach, Spectral solutions of the MHD equations in
cylindrical geometry International
Journal of Pure &
Applied Mathematics, 42,
575-581 (2008).
G. Rüdiger, R. Hollerbach, Comment
on: Helical
magnetorotational instability in magnetized Taylor-Couette flow Physical Review E, 76, 068301:1-2
(2007).
G. Rüdiger, R. Hollerbach, M. Gellert, M. Schultz, The
azimuthal magnetorotational instability (AMRI) Astronomische Nachrichten, 328,
1158-1161 (2007).
G. Rüdiger, M. Schultz, D. Shalybkov, R. Hollerbach, Theory of
current-driven instability experiments in magnetic
Taylor-Couette flows Physical
Review E, 76,
056309:1-9 (2007).
G. Rüdiger, R.
Hollerbach, M. Schultz, D. Elstner, Destabilisation
of hydrodynamically stable rotation laws by azimuthal
magnetic fields Monthly Notices
of the Royal Astronomical
Society, 377, 1481-1487
(2007).
R. Hollerbach, E. Canet, A. Fournier, Spherical
Couette flow in a dipolar magnetic field European Journal of Mechanics B, 26,
729-737 (2007).
B. Futterer, A. Brucks, R. Hollerbach, C. Egbers, Thermal
blob convection in spherical shells International Journal of Heat &
Mass Transfer, 50,
4079-4088 (2007).
F. Stefani, T. Gundrum, G.
Gerbeth, G. Rüdiger, J.
Szklarski,
R. Hollerbach, Experiments
on the magnetorotational instability in
helical magnetic fields New
Journal
of Physics, 9, 295:1-15
(2007).
G. Rüdiger, R.
Hollerbach, F. Stefani, T. Gundrum, G.
Gerbeth,
R. Rosner, The
traveling-wave MRI in cylindrical Taylor-Couette
flow: comparing wavelengths and speeds in theory and experiment Astrophysical Journal, 649, L145-147
(2006).
F. Stefani, T. Gundrum, G. Gerbeth, G. Rüdiger, M.
Schultz,
J. Szklarski, R. Hollerbach, Experimental
evidence for magnetorotational
instability in a Taylor-Couette flow under the influence of a helical
magnetic field Physical Review
Letters, 97,
184502:1-4 (2006) [50 citations].
R. Hollerbach, M. Junk, C. Egbers, Non-axisymmetric
instabilities in basic state spherical Couette
flow Fluid Dynamics Research,
38,
257-273 (2006).
G. Rüdiger, R.
Hollerbach, M. Schultz, D.A. Shalybkov, The
stability of MHD Taylor-Couette flow with current-free
spiral magnetic fields between conducting cylinders Astronomische Nachrichten, 326,
409-413 (2005).
R. Hollerbach, G. Rüdiger, New
type of
magnetorotational instability in cylindrical
Taylor-Couette flow Physical
Review
Letters, 95, 124501:1-4
(2005) [50 citations].
A. Fournier, H.-P. Bunge, R. Hollerbach, J.-P. Vilotte,
A
Fourier-spectral element algorithm for thermal convection in
rotating axisymmetric containers Journal
of
Computational Physics, 204,
462-489 (2005).
A. Fournier, H.-P. Bunge, R. Hollerbach, J.-P. Vilotte, Application of the
spectral element method
to the axisymmetric
Navier-Stokes equation Geophysical
Journal
International, 156,
682-700 (2004).
R. Hollerbach, G. Rüdiger, Hall
drift in the
stratified crusts of
neutron stars Monthly Notices
of the Royal
Astronomical Society, 347,
1273-1278 (2004).
R. Hollerbach, B. Futterer, T. More, C. Egbers, Instabilities of
the Stewartson layer.
Part 2. Supercritical mode
transitions Theoretical &
Computational Fluid
Dynamics, 18, 197-204
(2004).
R. Hollerbach,
Instabilities of the
Stewartson layer. Part 1. The dependence on
the sign of Ro Journal of Fluid
Mechanics, 492, 289-302
(2003).
R. Arlt, R. Hollerbach,
G. Rüdiger, Differential
rotation decay in the
radiative envelopes of CP stars Astronomy
& Astrophysics, 401,
1087-1094 (2003).
P. Beltrame, C. Egbers, R. Hollerbach, The GEOFLOW
experiment on ISS: III.
Bifurcation analysis Advances
in Space Research, 32,
190-197 (2003).
V. Travnikov, C. Egbers, R. Hollerbach, The GEOFLOW
experiment on ISS: II.
Numerical simulation Advances
in Space Research, 32,
181-189 (2003).
C. Egbers, W. Beyer, A. Bonhage, R. Hollerbach, P. Beltrame, The GEOFLOW
experiment on ISS: I.
Experimental preparation and
design of laboratory testing hardware Advances in Space Research, 32,
171-180 (2003).
R. Hollerbach, R.J. Wiener, I.S. Sullivan, R.J. Donnelly,
C.F. Barenghi, The
flow around a
torsionally oscillating sphere Physics
of Fluids, 14,
4192-4205
(2002).
R. Hollerbach, G.
Rüdiger, The
influence of
Hall drift on the
magnetic fields of neutron stars Monthly
Notices of the Royal
Astronomical Society, 337,
216-224 (2002).
P. Fotheringham, D. Fearn, R. Hollerbach, Magnetic stability
and nonlinear
evolution of a selection of
mean field dynamos Physics of
the
Earth & Planetary
Interiors, 134, 213-237
(2002).
R. Hollerbach, S. Skinner, Instabilities of
magnetically induced
shear layers and jets Proceedings
of the Royal Society A, 457,
785-802 (2001).
A. Drecker, G. Rüdiger, R. Hollerbach, Global structure
of self-excited
magnetic fields arising from the
magnetic shear instability Monthly
Notices of the Royal
Astronomical Society, 317,
45-54 (2000).
R. Hollerbach, A spectral
solution of the magneto-convection equations in spherical
geometry International Journal
for Numerical Methods in
Fluids, 32, 773-797
(2000) [78 citations].
A.M. Soward, R. Hollerbach, Non-axisymmetric
magnetohydrodynamic shear
layers in a rotating
spherical shell Journal of
Fluid
Mechanics, 408, 239-274
(2000).
M.R. Walker, R. Hollerbach, The
adjustment to
Taylor's constraint in
the presence of an ambient
field Physics of the Earth
&
Planetary Interiors, 114,
181-196 (1999).
D.R. McLean, D.R. Fearn, R. Hollerbach, Magnetic stability under the
magnetostrophic approximation Physics
of the Earth &
Planetary Interiors, 111,
123-139 (1999).
R. Hollerbach, What can the
observed rotation of the Earth's inner core reveal about
the state of the outer core? Geophysical
Journal
International, 135,
564-572 (1998).
P. Fotheringham, R. Hollerbach, Inertial
oscillations in a spherical
shell Geophysical &
Astrophysical
Fluid Dynamics, 89,
23-43 (1998).
R. Hollerbach, Time-dependent
Taylor vortices in wide-gap
spherical Couette flow Physical
Review Letters, 81,
3132-3135
(1998).
A. Drecker, R. Hollerbach, G. Rüdiger, Viscosity
alpha in rotating spherical shear flows with an external
magnetic field Monthly Notices
of
the Royal
Astronomical Society, 298,
1030-1034 (1998).
R. Hollerbach, G.A. Glatzmaier, Mixed-parity
solutions in a mean-field
dynamo model Studia Geophysica
& Geodaetica, 42,
239-246 (1998).
R. Hollerbach, D.J. Galloway, M.R.E. Proctor, On the adjustment
to the Bondi-Gold
theorem in a spherical-shell
fast dynamo Geophysical &
Astrophysical Fluid Dynamics, 87,
111-132 (1998).
R. Hollerbach,
The influence of an axial field on magnetohydrodynamic Ekman and
Stewartson layers, in the presence of a finitely conducting inner core Acta Astronomica Geophysica
Universitatis Comenianae, 19,
263-275 (1997).
R. Hollerbach, The dynamical
balance in semi-Taylor
states Geophysical &
Astrophysical
Fluid Dynamics, 84,
85-98 (1997).
R. Hollerbach, Magnetohydrodynamic
shear layers in a
rapidly rotating plane layer Geophysical
& Astrophysical
Fluid Dynamics, 82,
237-253 (1996).
R. Hollerbach, On the theory of
the geodynamo Physics
of the Earth &
Planetary Interiors, 98,
163-185 (1996) [58 citations].
R. Hollerbach, On the
energetics
of magnetic
instabilities Geophysical &
Astrophysical
Fluid Dynamics, 81,
211-213 (1995).
C.A. Jones, A.W. Longbottom,
R. Hollerbach, A self-consistent
convection driven geodynamo model, using a mean field approximation
Physics of the Earth &
Planetary Interiors, 92,
119-141 (1995) [67 citations].
A.W. Longbottom, C.A. Jones, R. Hollerbach, Linear
magnetoconvection in a rotating
spherical shell,
incorporating a finitely conducting inner core Geophysical & Astrophysical
Fluid Dynamics, 80,
205-227 (1995).
R. Hollerbach, R.R. Kerswell, Oscillatory internal shear layers in
rotating and precessing flows Journal
of Fluid Mechanics, 298,
327-339 (1995) [56 citations].
R. Hollerbach,
Fast dynamo action in spherical geometry:
Numerical calculations using parallel virtual machines Computers in Physics, 9, 460-463 (1995).
R. Hollerbach, D.J. Galloway, M.R.E. Proctor, Numerical evidence
of fast dynamo action
in a spherical shell Physical
Review Letters, 74,
3145-3148
(1995).
R. Hollerbach, C.A. Jones, On the magnetically stabilizing role of
the Earth's inner core Physics
of the Earth &
Planetary Interiors, 87,
171-181 (1995) [63 citations].
R. Hollerbach,
Imposing a magnetic
field across a nonaxisymmetric shear layer
in a rotating spherical shell Physics
of Fluids, 6, 2540-2544
(1994).
R. Hollerbach, Magnetohydrodynamic Ekman and Stewartson
layers in a rotating spherical
shell Proceedings of the Royal
Society A, 444, 333-346
(1994) [53 citations].
R. Hollerbach, C.A. Jones, Influence
of the
Earth's inner core on
geomagnetic fluctuations and
reversals Nature, 365, 541-543 (1993) [142 citations].
R. Hollerbach, C.A. Jones, A
geodynamo model
incorporating a
finitely conducting inner core Physics
of the Earth &
Planetary Interiors, 75,
317-327 (1993) [52 citations].
R. Hollerbach, C.F.
Barenghi, C.A. Jones,
Taylor's constraint in a spherical αω-dynamo Geophysical &
Astrophysical
Fluid Dynamics, 67,
3-25 (1992).
R. Hollerbach,
Parity coupling in α2-dynamos Geophysical & Astrophysical
Fluid Dynamics, 60,
245-260 (1991).
R. Hollerbach, G.R.
Ierley,
A modal α2-dynamo in the limit of
asymptotically
small
viscosity Geophysical &
Astrophysical
Fluid Dynamics, 56,
133-158 (1991).
R. Salmon, R. Hollerbach, Similarity
solutions of the thermocline equations Journal of Marine Research, 49, 249-280
(1991).
J.R. Kan, R. Hollerbach, On the
divergence
of the Hall current in the westward traveling surge Journal of Geophysical Research A, 90,
4403-4406 (1985).
