Skip to main content


Photo of Prof Mitchell Berger

Prof Mitchell Berger


Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.

| 2009 | 2006 | 2005 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 | 1982 |


  • Asgari-Targhi, M and Berger, MA Writhe in the Stretch-Twist-Fold Dynamo, Geophysical and Astrophysical Fluid Dynamics, pp 69-87, vol. 103
  • Berger, M. A. and Asgari-Targhi, M Self-Organized Braiding and the Structure of Coronal Loops, Astrophysical Journal, pp 347-355, vol. 705
  • Berger, MA Braids and Magnetic Fields, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore vol 19: BRAIDS. edited by A J Berrick, FR Cohen, E Hanbury, Y-L Wong, & J Wu, World Scientific Press
  • Berger, MA Topological Magnetohydrodynamics and Astrophysics, Encyclopedia of Complexity and System Science, Springer
  • Berger, MA Magnetic writhe and self-organized braiding, Bussei Kenkyu, pp 43--46, vol. 92
  • Berger, MA, Kauffman, LH, Khesin, B, Moffatt, HK, Ricca, RL, Bangert, P Topological quantities: calculating winding, writhing, linking, and higher order invariants, in Lectures on Topological Fluid Dynamics, Springer Lecture Notes in Mathematics. SpringerVerlag
  • Horrigan EJ, Smith CW, Scarpa FL, Gaspar N, Javadi AA, Berger, MA, Evans KE Constitutive Modelling and Simulated Optimisation of Disordered Structures with negative Poisson’s ratios, Mechanics of Materials, pp 919-927, vol. 41
  • Martin S, Berger MA, Panasenco O, and Bangert P The Roll Effect in Erupting Filaments, Solar Physics
  • Torok T, Berger MA, and Kliem B The writhe of helical structures in the solar corona, Astronomy and Astrophysics


  • Berger, MA and Prior, C The writhe of open and closed curves, J. of Physics A, pp 8321-8348, vol. 39
  • Pariat, E, Demoulin, P, and Berger, MA Basic properties of mutual magnetic helicity, Solar Physics, pp 3-27, vol. 233
  • Pariat, E, Nindos, A, Demoulin, P, and Berger, MA What is the spatial distribution of magnetic helicityinjected in a solar active region?, Astronomy and Astrophysics, pp 623-630, vol. 452


  • Berger, MA Magnetic Helicity Conservation, IAU Symposium 13, D. Rust and B Schmeider (Eds.), Highlights of Astronomy, Astronomy Society of the Pacific, pp 85-88, vol. 13
  • Pariat, E, Demoulin, P, and Berger, MA Photospheric flux density of magnetic helicity, Astronomy and Astrophysics, pp 1191-1207, vol. 439


  • Démoulin, P and Berger, MA Magnetic energy and helicity fluxes at the photospheric level, Solar Physics, pp 203-215, vol. 215
  • Low, BC and Berger, MA A Morphological Study of Helical Coronal Magnetic Structures, Astrophysical J, pp 644-657, vol. 589
  • Berger MA Topological quantities in magnetohydrodynamics, A. Ferriz-Mas and M. Nunez (Eds.), Advances in Nonlinear Dynamos (Taylor and Francis), pp 354-374


  • Bangert, PD, Berger, MA and Prandi, R In search of minimal random braid configurations, J. Physics A, pp 43-59, vol. 35


  • Berger, MA Hamiltonian dynamics generated by Vassiliev invariants, J. of Physics A, pp 1363-1374, vol. 34
  • Berger, MA Topological invariants in braid theory, Letters in Mathematical Physics, pp 181-192, vol. 55
  • Berger, MA Topological methods in astrophysics, Phil.Trans. R. Soc. London A, pp 1439-1448, vol. 359
  • Berger. MA Measures of topological structure in magnetic fields, RL Ricca (Ed.), An Introduction to the Geometry and Topology of Flows (Kluwer), pp 239-252


  • Berger MA Magnetic Helicity, Encyclopedia of Astronomy and Astrophysics, Nature Publishing Group/Institute of Physics Publishing
  • Berger, MA and Ruzmaikin, A Magnetic helicity production by differential rotation, J. Geophysical Research, pp 10481-10490, vol. 105


  • Berger MA Magnetic helicity in space physics, Magnetic Helicity in Spaceand Laboratory Plasmas, A Pevtsov (Ed.), AGU Geophysical Monograph Series, pp 1
  • Berger MA Tube Plots, Knots, and Braids, MathSource
  • Berger, MA Introduction to magnetic helicity, Plasma Physics and Controlled Fusion, pp B167-B175, vol. 41
  • Ruzmaikin, A and Berger, MA On generation of high-frequency Alfven wavesin the solar corona, Solar Wind Nine, R Habbal, R Esser, JV Hollweg, and PA Eisenberg (Eds.), AIP Conference Proceedings, pp 325, vol. 471


  • Berger MA Magnetic helicity and filaments, New Perspectives on Solar Prominences, D. Webb, B. Schmieder, and D. Rust (Eds.), Astron. Soc. Pacific Conf. Series, pp 102-110
  • Ruzmaikin, A. and Berger, MA On a source of Alfven waves heating the solar corona, Astronomy and Astrophysics, pp L9-L12, vol. 337


  • Berger, MA Magnetic helicity in a periodic domain, J. Geophysical Research, pp 2637-2644, vol. 102


  • Berger MA The energy supply for coronal magnetic structures, Observations of Magnetic Reconnection in the Solar Atmosphere, B. Bentley and J. Mariska (Eds.), Astron. Soc. Pacific Conf. Series, pp 95-100, vol. 111
  • Berger MA Braids in Dynamical Systems, Nature (News and Views), pp 479-480, vol. 383
  • Berger, MA Inverse Cascades in a periodic domain, Astrophysical Letters and Communications, pp 225-230, vol. 34
  • Ricca, RL and Berger, MA Topological ideas and fluid mechanics, Physics Today, pp 28-34, vol. December


  • Berger, MA and Rosner, R The evolution of helicity in the presence of turbulence -- the limit of passive diffusion, Geophysical and Astrophysical FLuid Dynamics, pp 73-99, vol. 81


  • Berger MA The small scale structure of coronal loops, Solar Coronal Structures, V. Rusin, P. Heinzel, and J.-C. Vial (Eds.), VEDA Publishing Company, Bratislava, pp 189–193
  • Berger, MA Minimum crossing numbers for three--braids, J. of Physics A, pp 6205-6213, vol. 27
  • Berger, MA Coronal Heating by Dissipation of Magnetic Structure, Space Science Reviews, pp 3-14, vol. 68


  • Berger, MA Energy-crossing number relations for braided magnetic fields, Physical Review Letters, pp 705-708, vol. 70
  • Freedman, M and Berger MA Combinatorial Relaxation, Geophysical and Astrophysical Fluid Dynamics, pp 91-96, vol. 73


  • Evans WN and Berger MA A hierarchy of linking integrals, Topological Aspects of the Dynamics of Fluids and Plasmas, H.K. Moffatt, G.M. Zaslavsky, P. Comte, and M. Tabor (Eds.), Kluwer Acad. Publ, pp 237-248


  • Berger MA Magnetic heating of the solar corona, Advances in Solar SystemMagnetohydrodynamics, E. R. Priest and A. W. Hood, (Eds.), Cambridge Univ. Press, pp 241-256
  • Berger, MA Generation of magnetic field structure by random boundary motions. I. mean square twist and current density, Astronomy and Astrophysics, pp 369-376, vol. 252
  • Berger, MA Third order braid invariants, J. of Physics A, pp 4027-4036, vol. 24
  • Wright, A and Berger, MA A physical description of magnetic helicity evolution in the presence of reconnection lines, J. of Plasma Physics, pp 179-199, vol. 46


  • Berger MA The role of helicity and other magnetic invariants, Mechanisms of Coronal and Chromospheric Heating P. Ulmschneider, E. R. Priest, and R. Rosner, (Eds.), Springer-Verlag, Berlin, pp 570-581
  • Berger MA Braided magnetic flux ropes and coronal heating, Physics of Magnetic Flux Ropes C. Russell, E. Priest, and L.C. Lee, (Eds.), American Geophysical Union, pp 251-256
  • Berger MA Third order invariants of randomly braided curves, Topological Fluid Mechanics, H.K. Moffatt and A. Tsinober, (Eds.), Cambridge University Press, pp 440–448
  • Berger MA and Wright AN The generation of twisted flux tubes during magnetic reconnection, Physics of Magnetic Flux Ropes C. Russell, E. Priest, and L.C. Lee, (Eds.), American Geophysical Union, pp 521-524
  • Berger, MA Third order link integrals, J. of Physics A, pp 2787-2793, vol. 23
  • Wright, A and Berger, MA The interior structure of reconnected flux tubes in a sheared plasma flow, J. of Geophysical Research, pp 8029-8036, vol. 95


  • Berger MA Three-dimensional reconnection from a global viewpoint, Reconnectionin Space Plasma T.D. Guyenne and J.J. Hunt (Eds.), ESA Paris SP-285II, pp 83-86
  • Berger MA The topology of fieldlines, Turbulence and Non-linear Dynamicsin MHD Flows, M. Meneguzzi, A. Pouquet, and P.L. Sulem (Eds.), North Holland, pp 197-206
  • Dixon A, Berger MA, Browning P, and Priest ER A generalization of the Woltjer minimum energy principle, Astronomy and Astrophysics, pp 156-166, vol. 225
  • Rosner R, Low BC, Tsinganos K, and Berger MA On the relationship between the topology of magnetic field lines and flux surfaces, Geophysical and Astrophysical Fluid Dynamics, pp 251-271, vol. 48
  • Wright AN and Berger MA The effect of reconnection upon the linkage andinterior structure of magnetic flux tubes, J. Geophysical Research, pp 1295-1302, vol. A94


  • Berger MA An energy formula for nonlinear force-free magnetic fields, Astronomy and Astrophysics, pp 355-361, vol. 201
  • Berger MA The development of structure in coronal magnetic fields, Activity in cool star envelopes. O. Havnes, B.R. Pettersen, J.H.M.M Schmitt and J.E. Solheim eds. Kluwer Acad. Publ., Dordrecht, pp 21-24
  • Berger MA and Roberts PH On the finite step winding number problem, Adv. Applied Probability, pp 261-274, vol. 20
  • Berger, MA Methods of topological description in MHD, Current Tendencies in Turbulence Research. Progress in Astronautics and Aeronautics 112, H. Branover, M. Mond and Y. Unger eds. AIAA Washington D.C, pp 153-162


  • Berger MA The random walk winding number problem: convergence to adiffusion process with excluded area, J. Physics A: Mathematical and General, pp 5949-5960, vol. 20
  • House LL and Berger MA Ejection of helical field structures through theouter corona, Astrophysical J, pp 406-413, vol. 323


  • Berger MA Topological invariants of field lines rooted to planes, Geophysical and Astrophysical Fluid Dynamics, pp 265-281, vol. 34
  • Berger MA The topological description of coronal magnetic fields, Coronal and Prominence Plasmas A. Poland ed. NASA CP-2442, pp 425-430


  • Berger MA Structure and stability of constant alpha force-free fields, Astrophysical Journal Suppl, pp 433-444, vol. 59


  • Berger MA Rigorous new limits on magnetic helicity dissipation in the solarcorona, Geophysical and Astrophysical Fluid Dynamics, pp 79-104, vol. 30
  • Berger MA and Field GB The topological properties of magnetic helicity, J Fluid Mechanics, pp 133-148, vol. 147


  • Berger, MA Rapid Reconnection and the Conservation of Magnetic Helicity, Bulletin of the American Astronomical Society, pp 978, vol. 14

Showing 69 publications from UDB2.