# Profile

# Prof Mitchell Berger

## Publications

_{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 |

### 2009

- 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

### 2006

- 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

### 2005

- 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

### 2003

- 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

### 2002

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

### 2001

- 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

### 2000

- 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

### 1999

- 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

### 1998

- 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

### 1997

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

### 1996

- 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

### 1995

- 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

### 1994

- 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

### 1993

- 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

### 1992

- 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

### 1991

- 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

### 1990

- 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

### 1989

- 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

### 1988

- 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

### 1987

- 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

### 1986

- 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

### 1985

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

### 1984

- 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

### 1982

- 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.