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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.

| 2018 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2006 | 2005 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 |

2018

2015

2014

2013

  • Berger MA. (2013) Topological Magnetohydrodynamics and Astrophysics, Encyclopedia of Complexity and System Science, Springer. [PDF]

2012

  • Martin SF, Panasenco O, Berger MA, Engvold O, Lin Y, Pevtsov AA, Srivastava N. (2012) The Build-Up to Eruptive Solar Events Viewed as the Development of Chiral Systems, Astronomical Society of the Pacific Conference Series, volume 463, pages 157-173.
  • Prior C, Berger MA. (2012) On the Shape of Force-Free Field Lines in the Solar Corona, Solar Physics, volume 278, no. 2, pages 323-345, DOI:10.1007/s11207-012-9938-3.

2011

2010

2009

  • Berger MA. (2009) Magnetic Writhe and Self-Organized braiding, Bussei Kenkyu, volume 92, pages 43-46.
  • Berger MA. (2009) Braids and Magnetic Fields, Braids, World Scientific Publishing Company.
  • Berger MA, Asgari-Targhi M. (2009) SELF-ORGANIZED BRAIDING AND THE STRUCTURE OF CORONAL LOOPS, ASTROPHYSICAL JOURNAL, volume 705, no. 1, pages 347-355, DOI:10.1088/0004-637X/705/1/347. [PDF]
  • Asgari-Targhi M, Berger MA. (2009) Writhe in the Stretch-Twist-Fold Dynamo, Geophysical and Astrophysical Fluid Dynamics, volume 103, pages 69-87. [PDF]
  • Horrigan EJ, Smith CW, Scarpa F, Gaspar N, Javadi AA, Berger MA, Evans KE. (2009) Constitutive Modelling and Simulated Optimisation of Disordered Structures with negative Poisson’s ratios, Mechanics of Materials, volume 41, pages 919-927, DOI:10.1016/j.mechmat.2009.04.008. [PDF]
  • Berger MA. (2009) Topological Quantities: Calculating Winding, Writhing, Linking, and Higher order Invariants, Lectures on Topological Fluid Mechanics, Springer Berlin Heidelberg, 75-97.

2008

  • Torok T, Berger MA, Kliem B, Demoulin P, Linton M, van Driel-Gesztelyi L. (2008) Twist, Writhe and Rotation of Magnetic Flux Ropes in Filament Eruptions and Coronal Mass Ejections, European Solar Physics Meeting, Freiburg, Germany.

2006

2005

2003

  • Berger MA. (2003) Topological quantities in magnetohydrodynamics, Advances in Nonlinear Dynamos, CRC Press, 354-374.
  • D�moulin P, Berger MA. (2003) Magnetic energy and helicity fluxes at the photospheric level, Solar Physics, volume 215, pages 203-215.
  • Low BC, Berger MA. (2003) A Morphological Study of Helical Coronal Magnetic Structures, Astrophysical J, volume 589, pages 644-657.
  • MABerger, Démoulin P. (2003) Magnetic energy and helicity fluxes at the photospheric level , Solar Physics, volume 215, no. 2, pages 203-215, DOI:10.1023/A:1025679813955.

2002

2001

  • Berger MA. (2001) Measures of topological structure in magnetic fields, An Introduction to the Geometry and Topology of Fluid Flows, Springer, 239-252.
  • Berger MA. (2001) Topological methods in astrophysics, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, volume 359, no. 1784, pages 1439-1448, DOI:10.1098/rsta.2001.0846. [PDF]
  • Berger MA. (2001) Topological invariants in braid theory, LETTERS IN MATHEMATICAL PHYSICS, volume 55, no. 3, pages 181-192, DOI:10.1023/A:1010979823190. [PDF]
  • Berger MA. (2001) Hamiltonian dynamics generated by Vassiliev invariants, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, volume 34, no. 7, pages 1363-1374, DOI:10.1088/0305-4470/34/7/310. [PDF]

2000

  • Berger M. (2000) Magnetic Helicity, Encyclopedia of Astronomy and Astrophysics, volume 1, pages 2403-2403.
  • Berger MA, Ruzmaikin A. (2000) Rate of helicity production by solar rotation, J Geophysical Research, volume A105, pages 10481-10490.

1999

  • Berger MA. (1999) Tuba-a software package for drawing knots, braids and tubes.
  • Berger MA. (1999) Magnetic helicity in space physics, Geophysical Monograph Series, volume 111, pages 1-9.
  • Ruzmaikin A, Berger MA. (1999) On generation of high-frequency Alfvén waves in the solar corona, American Institute of Physics Conference Series, volume 471, pages 325-328.
  • Berger MA. (1999) Introduction to magnetic helicity, PLASMA PHYSICS AND CONTROLLED FUSION, volume 41, pages B167-B175, DOI:10.1088/0741-3335/41/12B/312. [PDF]

1998

  • Berger MA. (1998) Magnetic helicity and filaments, NEW PERSPECTIVES ON SOLAR PROMINENCES, volume 150, pages 102-110. [PDF]
  • Ruzmaikin A, Berger MA. (1998) On a source of Alfven waves heating the solar corona, Astronomy and Astrophysics, volume 337.

1997

  • Berger MA. (1997) The Energy Supply for Coronal Magnetic Structures, Magnetic Reconnection in the Solar Atmosphere, volume 111, pages 95-95.
  • Berger MA. (1997) Magnetic helicity in a periodic domain, JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, volume 102, no. A2, pages 2637-2644, DOI:10.1029/96JA01896. [PDF]

1996

  • Berger MA. (1996) Topology - Just out of pigtails, NATURE, volume 383, no. 6600, pages 479-479, DOI:10.1038/383479a0. [PDF]
  • Berger MA. (1996) Inverse cascades in a periodic domain, ASTROPHYSICAL LETTERS & COMMUNICATIONS, volume 34, no. 1-6, pages 225-230. [PDF]
  • Ricca RL, Berger MA. (1996) Topological ideas and fluid mechanics, Physics Today, pages 28-34.

1995

1994

1993

1992

  • Evans WN, Berger MA. (1992) A hierarchy of linking integrals, Kluwer Acad. Publ, pages 237-248.

1991

  • Berger MA. (1991) Magnetic heating of the solar corona, Geophysical and Astrophysical MHD, volume 1, pages 241-256.
  • Berger MA. (1991) Coronal magnetic structure: the role of ideal MHD invariants, Mechanisms of Chromospheric and Coronal Heating, Springer Berlin Heidelberg, 570-581.
  • BERGER MA. (1991) 3RD-ORDER BRAID INVARIANTS, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, volume 24, no. 17, pages 4027-4036, DOI:10.1088/0305-4470/24/17/019. [PDF]
  • BERGER MA. (1991) GENERATION OF CORONAL MAGNETIC-FIELDS BY RANDOM SURFACE MOTIONS .1. MEAN-SQUARE TWIST AND CURRENT-DENSITY, ASTRONOMY & ASTROPHYSICS, volume 252, no. 1, pages 369-376. [PDF]
  • Wright A, Berger MA. (1991) A physical description of magnetic helicity evolution in the presence of reconnection lines, J. of Plasma Physics, volume 46, pages 179-199.

1990

  • BERGER MA. (1990) Third order invariants of randomly braided curves, Topological Fluid Mechanics: Proceedings of the IUTAM Symposium, Cambridge, UK, 13-18 August, 1989, pages 440-440.
  • Berger MA. (1990) Braided flux ropes and coronal heating, Geophysical Monograph Series, volume 58, pages 251-256.
  • Berger MA, Wright AN. (1990) The generation of twisted flux ropes during magnetic reconnection, Geophysical Monograph Series, volume 58, pages 521-524.
  • Berger MA. (1990) Third-order link integrals, Journal of Physics A: General Physics, volume 23, no. 13, pages 2787-2793, DOI:10.1088/0305-4470/23/13/017.
  • Wright A, Berger MA. (1990) The interior structure of reconnected flux tubes in a sheared plasma flow, J. of Geophysical Research, volume 95, pages 8029-8036.
  • BERGER MA. (1990) 3RD-ORDER LINK INTEGRALS, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, volume 23, no. 13, pages 2787-2793, DOI:10.1088/0305-4470/23/13/017. [PDF]

1989

  • Berger MA. (1989) The topology of field lines, Turbulence and Nonlinear Dynamics in MHD Flows, North Holland, 197-206.
  • Berger MA. (1989) Three-dimensional reconnection from a global viewpoint, Reconnection in space plasma, volume 285, pages 83-86.
  • ROSNER R, LOW BC, TSINGANOS K, BERGER MA. (1989) ON THE RELATIONSHIP BETWEEN THE TOPOLOGY OF MAGNETIC-FIELD LINES AND FLUX SURFACES, GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, volume 48, no. 4, pages 251-271, DOI:10.1080/03091928908218532. [PDF]
  • Wright AN, Berger MA. (1989) The effect of reconnection upon the linkage and interior structure of magnetic flux tubes, J. Geophysical Research, volume A94, pages 1295-1302.
  • DIXON AM, BERGER MA, BROWNING PK, PRIEST ER. (1989) A GENERALIZATION OF THE WOLTJER MINIMUM-ENERGY PRINCIPLE, ASTRONOMY & ASTROPHYSICS, volume 225, no. 1, pages 156-166. [PDF]

1988

  • Berger MA. (1988) The development of structure in coronal magnetic fields, Activity in Cool Star Envelopes, Springer Netherlands, 21-24.
  • Berger MA. (1988) Methods of topological description in MHD, Current Trends in Turbulence Research, volume 1, pages 153-162.
  • BERGER MA, ROBERTS PH. (1988) ON THE WINDING NUMBER PROBLEM WITH FINITE STEPS, ADVANCES IN APPLIED PROBABILITY, volume 20, no. 2, pages 261-274, DOI:10.2307/1427389. [PDF]
  • BERGER MA. (1988) AN ENERGY FORMULA FOR NONLINEAR FORCE-FREE MAGNETIC-FIELDS, ASTRONOMY & ASTROPHYSICS, volume 201, no. 2, pages 355-361. [PDF]

1987

1986

  • Berger MA. (1986) The topological description of coronal magnetic fields, NASA Conference Publication, volume 2442, pages 425-429.

1985

1984

Showing 83 publications from Symplectic.

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