Skip to main content
Log in

Why space physics needs to go beyond the MHD box

  • Published:
Space Science Reviews Aims and scope Submit manuscript

Abstract

Magnetohydrodynamic (MHD) theory has been used in space physics for more than forty years, yet many important questions about space plasmas remain unanswered. We still do not understand how the solar wind is accelerated, how mass, momentum and energy are transported into the magnetosphere and what mechanisms initiate substorms. Questions have been raised from the beginning of the space era whether MHD theory can describe correctly space plasmas that are collisionless and rarely in thermal equilibrium. Ideal MHD fluids do not induce electromotive force, hence they lose the capability to interact electromagnetically. No currents and magnetic fields are generated, rendering ideal MHD theory not very useful for space plasmas. Observations from the plasma sheet are used as examples to show how collisionless plasmas behave. Interpreting these observations using MHD and ideal MHD concepts can lead to misleading conclusions. Notably, the bursty bulk flows (BBF) with large mean velocities left( v ≥400 km s right) that have been interpreted previously as E×B flows are shown to involve much more complicated physics. The sources of these nonvanishing v events, while still not known, are intimately related to mechanisms that create large phase space gradients that include beams and acceleration of ions to MeV energies. The distributions of these nonvanishing v events are associated with large amplitude variations of the magnetic field at frequencies up to and exceeding the local Larmor frequency where MHD theory is not valid. Understanding collisionless plasma dynamics such as substorms in the plasma sheet requires the self-consistency that only kinetic theory can provide. Kinetic modeling is still undergoing continual development with many studies limited to one and two dimensions, but there is urgent need to improve these models as more and more data show kinetic physics is fundamentally important. Only then will we be able to make progress and obtain a correct picture of how collisionless plasmas work in space.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Akasofu, S.-I.: 1968, ' Polar and Magnetospheric Substorms'. Springer-Verlag, New York, NY.

    Google Scholar 

  • Akasofu, S.-I.: 2004, 'Several 'controversial' Issues on Substorm'. Spare Sci. Rev., this issue.

  • Alfvén, H.: 1953, 'Cosmical Electrodynamics'. Oxford University Press, London, E. C. 4.

    Google Scholar 

  • Alfvén, H. and Fälthammer, C. G.: 1963, 'Cosmic Electrodynamics' Fundamental Processes, 2nd ed., Oxford Press, Oxford, England.

    Google Scholar 

  • Alfvén, H.: 1977, 'Electric Currents in Cosmic Plasmas'. Rev. Geophys. Space Phys. 15, 271.

    ADS  Google Scholar 

  • Anderson, K. A.: 1965, 'Energetic Electron Fluxes in the Tail of the Geomagnetic Field'. J. Geophys. Res. 70, 4741.

    ADS  Google Scholar 

  • Anderson K., Lin, R. P., Gurgiolo, C., Parks, G. K., Potter, D. W. and Werden, S.: 1985, 'A Com-ponent of Non-gyrotropic (Phase-bunched) Electrons Upstream from the Earth's Bow Shock'. J. Geophys. Res. 102, 10809.

    ADS  Google Scholar 

  • Angelopoulos, V., Baumjohann, W., Kennel, C. F., Coroniti, F. V., Kivelson and M. G., Pellat, R.: 1992, 'Bursty Bulk Flows in the Inner Central Plasma Sheet'. J. Geophys. Res. 97, 4627.

    ADS  Google Scholar 

  • Angelopoulos, V.: 1997, 'Magnetotail Flow Bursts: Association to Global Magnetospheric Circulation, Relationship to Ionospheric Activity and Direct Evidence for Localization'. Geophys. Res. Lett. 24, 2271.

    Article  ADS  Google Scholar 

  • Bame, S., Asbridge, J. R., Felthauser, H., Hones, E. and Strong, I.: 1967, 'Characteristics of the Plasma Sheet in the Earth's Magnetotail'. J. Geophys. Res. 72, 113.

    ADS  Google Scholar 

  • Baumjohann, W., Paschmann, G. and Luhr, H.: 1990, 'Characteristics of High-speed Ion Flows in the Plasma Sheet'. J. Geophys. Res. 95, 3801.

    ADS  Google Scholar 

  • Brittnacher, M. and Whipple, E.: 2002, 'Extension of the Harris Magnetic Field Model to Ob-tain Exact Two-dimensional', Self-consistent X-Point Structure, J. Geophys. Res. 107,A2, 10.1029/2001JAOO0216.

    Article  Google Scholar 

  • Chamberlain, J. W.: 1960, 'Interplanetary Gas', II. Expansion of a Model Solar Corona, Astrophys. J. 131, 47.

    Article  ADS  Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1931, 'A New Theory of Magnetic Storms, Terr. Magn. Atmos. Elec. 36, 171.

    Article  Google Scholar 

  • Chen, L. J., Parks, G. K., McCarthy, M., Larson, D. and Lin, R. P. Lin: 2000, 'Kinetic Properties of Bursty Bulk Flow Events, Geophys. Res. Lett. 27, 1847.

    Article  ADS  Google Scholar 

  • Chen, L. J., Bhattacharjee, A., Sigsbee, K., Parks, G., Fillingim, M. and Lin, R.: 2003, 'Wind Observations Pertaining to Current Disruption and Ballooning Instability during Substorms'. Geophys. Res. Lett. 30, 1335.

    Article  MATH  ADS  Google Scholar 

  • Cheng, C. Z.: 2004, 'Physics of Substorm Growth Phase', Onset and Dipolarization, Space Sci. Rev., this issue.

  • Chew, G. F., Goldberger, M. L. and Low, F. E.: 1956, 'The Boltzmann Equation and the One-fluid Hydromagnetic Equations in the Absence of Particle Collision'. Proc. R. Soc. London A236, 112.

    MathSciNet  ADS  Google Scholar 

  • Coppi, B., Laval, G. and Pellat, R.: 1966, 'Dynamics of the Geomagnetic Tail, Phys. Rev. Lett. 16, 1207.

    Article  ADS  Google Scholar 

  • Coroniti, F. V., McPherron, R. L. and Parks, G. K.: 1968, 'Studies of Magnetospheric Sub-storm III', Concept of Magnetospheric Substorm and its Relation to Electron Precipitation and Micropulsations, J. Geophys. Res. 73.

  • DeCoster, R. J. and Frank, L. A. Frank: 1979, 'Observations Pertaining to the Dynamics of the Plasma Sheet'. J. Geophys. Res. 84, 5099.

    ADS  Google Scholar 

  • Eastman, T., Hones, E. W., Bame, S. and Asbridge, J. R.: 1976, 'The Magnetospheric Boundary Layer: Site of Plasma Momentum and Energy Transfer from the Magnetosheath into the Magnetosphere'. Geophys. Res. Lett. 3, 685.

    ADS  Google Scholar 

  • Eastman, T., Frank, L. A., Peterson, W. K. and Lennartson, W.: 1984, 'The Plasma Sheet Boundary Layer'. J. Geophys. Res. 89, 1553.

    ADS  Google Scholar 

  • Evans, D. S.: 1974, 'Precipitating Electron Fluxes Formed by a Magnetic Field Aligned Potential Difference'. J. Geophys. Res. 79, 2853.

    ADS  Google Scholar 

  • Fälthammar, C. G.: 1989, 'Electric Field in the Magnetosphere-A Review'. Planetary Space Sci. 37, 899.

    Article  ADS  Google Scholar 

  • Fillingim, M., Parks, G. K. Parks, Chen, L. J., McCarthy, M. and Spann, J.: 2001, 'Comparison of Plasma Sheet Dynamics during Pseudobreakups and Expansive Aurorae'. Physics of Plasmas 8, 1127.

    Article  ADS  Google Scholar 

  • Fillingim, M., Parks, G. K., Lin, R. P. and Chua, D.: 2002, 'Comparison of Plasma Sheet and Auroral Electron Energy Flux during Substorms'. Proceedings of the 6th International Conference on Substorms, University of Washington, Seattle.

    Google Scholar 

  • Fillingim, M., Parks, G. K., Lin, R. P., McCarthy, M. and Szabo, A.: 2003, 'High Time Resolu-tion Observations of Magnetosyheric Disturbances during Auroral Activity, in Storm-Substorm Relationship'. Geophys. Monogr. Ed. S. A. Sharma, AGU, Washington, DC.

    Google Scholar 

  • Frank, L. A.: 1965, 'A Survey of Electrons E≥ 40 keV beyond 5 Earth Radii with Explorer 14, J. Geophys. Res. 70, 1593.

    ADS  Google Scholar 

  • Frank, L. A.: 1967, 'Initial Observations of Low-energy Electrons in the Earth's Magnetosphere with OGO-3'. J. Geophys. Res. 72, 185.

    ADS  Google Scholar 

  • Galeev, A.,: 1981, 'Magnetospheric Tail Dynamics, in Magnetospheric Plasma Physics'. Ed. A. Nishida, D. Reidel Publishing Co., Dordrecht.

    Google Scholar 

  • Gringauz, K., Kurt, V., Moroz, V. and Shklovskii, I.: 1961, 'Results of Observations of Charged Particles Observed out to 100,000 km with the Aid of Charged-particle Traps on Soviet Space Rockets'. Soviet Astron. AJ 4, 680.

    ADS  Google Scholar 

  • Gurgiolo, C., Parks, G. K., Mauk, B., Lin, C. S., Anderson, K. A. and Lin, R. P.: 1981, 'Non-ExB Ordered Ion Beams Upstream of the Earth's Bow Shock'. J. Geophys. Res. 86, 4415.

    ADS  Google Scholar 

  • Hargreaves, J. K., Chivers, H. and Axford, I.: 1974, 'The Development of the Substorm and Auroral Radio Absorption', in Proceedings of International Symposium on Solar-Terrestrial Physics,San Paolo, Brazil, Volume 2, p 79.

    Google Scholar 

  • Heppner, J., Sugiura, M., Skillman, T., Ledley, B. and Campbell, M.: 1967, 'OGO-A Magnetic Field Observations'. J. Geophys. Res. 72, 5417.

    ADS  Google Scholar 

  • Heikkila, W.: 1973, 'Critique of Fluid Theory of Magnetospheric Phenomena'. Astrophys. Space Sci. 23, 261.

    Article  ADS  Google Scholar 

  • Heikkila, W.: 1997, 'Comment on 'The Alternative Paradigm for Magnetospheric Physics' by E. N. Parker'. J. Geophys. Res. 102, 9651.

    Article  ADS  Google Scholar 

  • Heikkila, W., et al.: 1979, 'Potential and Induction Electric Fields in the Magnetosphere during Auroras'. Planetary Space Sci. 27, 1383.

    Article  ADS  Google Scholar 

  • Hones, E. W., Singer, S. and Rao, C.: 1968, 'Simultaneous Observations of Electrons (E≥ 45 keV) at 2000 Kilometer Altitude and at 100,000 Kilometers in the Magnetotail'. J. Geophys. Res. 73, 7339.

    ADS  Google Scholar 

  • Hones, E. W.: 1979, 'Transient Phenomena in the Magnetotail and their Relationship to Substorms'. Space Sci. Rev. 23, 393.

    Article  ADS  Google Scholar 

  • Issautier, K., Meyer-Vernet, N., Pierrard, V. and Lemaire, J.: 2001, 'Electron Temperature in the Solar Wind from a Kinetic Collisionless Model: Application to High Latitude Ulysses Observations'. Astrophys. Space Sci. 277, 189.

    Article  MATH  ADS  Google Scholar 

  • Jelly, D. and Brice, N.: 1968, 'Changes in the Van Allen Radiation Associated with Polar Substorms'. J. Geophys. Res. 72, 5919.

    ADS  Google Scholar 

  • Jockers, K.: 1970, 'Solar Wind Models based on Exospheric Theory'. Astron. Astrophys. 6, 219.

    ADS  Google Scholar 

  • Kan, J. R., Zhu, L. and Akasofu, S.-I.: 1988, 'A Theory of Substorms: Onset and Subsidence'. J. Geophys. Res. 93, 5624.

    ADS  Google Scholar 

  • Krall, N. and Trivelpiece: 1973, 'Principles of Plasma Physics', McGraw-Hill Book Co., NewYork, NY.

    Google Scholar 

  • LeContel, O., Pellat, R. and Roux, A.: 2000, 'A Self-consistent Quasi-static Parallel Electric Field Associated with Substorm Growth Phase'. J. Geophys. Res. 105, 12945.

    Article  ADS  Google Scholar 

  • Lemaire, J. and Scherer: 1973, 'Kinetic Models of the Solar and Polar Winds'. Rev. Geophys. Space Phys. 11, 427.

    ADS  Google Scholar 

  • Lennartsson, W. and Shelley, E.: 1986, 'Survey of 0.1 to 16 keV/s Plasma Sheet Ion Composition'. J. Geophys. Res. 91.

  • Lin, R. P., Larson D. E., Ergun, R. E., McFadden, J. P., Carlson C. W. and Phan, T. D.: 1997, 'Observations of the Solar Wind, the Bow Shock and Upstream Particles with the Wind 3D Plasma Instrument'. Adv. Space Res. 20, 645.

    Article  ADS  Google Scholar 

  • Liu, C. S.: 1970, 'Low-frequency Drift Instabilities of the Ring Current Belt'. J. Geophys. Res. 75, 3789.

    ADS  Google Scholar 

  • Lui, A. T. Y., Chang, C. L., Mankofsky, A., Wond, H. K. and Winske, D.: 1991, 'A Cross-field Current Instability for Substorm Expansions'. J. Geophys. Res. 96, 389.

    Google Scholar 

  • Lui, A. T. Y.: 1991, 'A Synthesis of Magnetospheric Substorm Models'. J. Geophys. Res. 96, 1849.

    ADS  Google Scholar 

  • Lui, A. T. Y.: 2001, 'Current Controversies in Magnetospheric Physics'. Rev. of Geophys. 39, 535.

    Article  ADS  Google Scholar 

  • Lui, A. T. Y.: 2004, 'Potential Plasma Instabilities tor Substorm Expansion Onsets'. Space Sci. Rev., this issue.

  • Lundin, R., Sandahl, I. and Woch, J.: 1991, 'The Contribution of the Boundary Layer EMF to Magnetospheric Substorms'. in Magnetospheric Substorms, AGU Monograph 64.

  • Lyons, L. and Speiser, T.: 1982, 'Evidence tor Current Sheet Acceleration in the Geomagnetic Tail'. J. Geophys. Res. 93, 2276.

    ADS  Google Scholar 

  • Maksimovic, M., Pierrard, V. and Lemaire, J.: 2001, 'On the Exospheric Approach for the Solar Wind Acceleration'. Astrophys. Space Sci. 277, 181.

    Article  MATH  ADS  Google Scholar 

  • Marsch, E.: 1982, 'Solar Wind Proton: Three Dimensional Velocity Distributions and Derived Plasma Parameters Measured between 0.3 AU and 1 AU'. J. Geophys. Res. 87, 52.

    ADS  Google Scholar 

  • McPherron, R.: 1970, 'Growth Phase of Magnetospheric Substorms'. J. Geophys. Res. 28, 5592.

    ADS  Google Scholar 

  • Meng, C.-I. and Liou, K.: 2004, 'Substorm Timings and Timescales: A New Aspect'. Space Sci. Rev. this issue.

  • Meyer-Vernet, N.: 1999, 'How does the Solar Wind Blow? A Simple Kinetic Model'. Eur. J. Phys. 20, 167.

    Article  Google Scholar 

  • Meziane, K., Wilber, M., Lin, R. P. and Parks, G. K.: 2003, 'Gyrophase-restricted 100 keV-2 MeV Ion Beams near the Foreshock Boundary'. Geophysical Research Letters, in press.

  • Möller, C.: 1952, The Theory of Relativity, Oxford University Press, London.

    Google Scholar 

  • Mozer, F. S., Carlson, C. W., Hudson, M. K., Torbert, R. B., Parady, B. and Yatteau, J.: 1977, 'Observations of Paired Electrostatic Shocks in the Polar Magnetosphere'. Phys.Rev.Lett.38, 292.

    Article  ADS  Google Scholar 

  • Mozer, F. S., Bale, S. D. and Phan, T. D.: 2002, 'Evidence of Diffusion Regions at a Subsolar Magnetopause Crossing'. Phys. Rev. Lett. 89, 015002(4).

  • Nagai, T., Fujimoto, M., Saito, Y., Machida, S., Teresawa, T. and Nakamura, R.: 1998, 'Structure and Dynamics of Magnetic Reconnection for Substorm Onsets with Geotail Observations'. J. Geophys. Res. 103, 4419.

    Article  ADS  Google Scholar 

  • Ohtani, S.: 2004, 'Flow Bursts in the Plasma Sheet and Auroral Substorm Onset: Observational Constraints on Connecting Between Mid-tail and Near-earth Substorm Processes'. Space Sci. Rev.

  • Parker, E. N.: 1996, 'The Alternative Paradigm for Magnetospheric Physics'. J. Geophys. Res. 101, 10,587.

    Article  ADS  Google Scholar 

  • Parks, G. K. and Winckler, J. R.: 1968, 'Acceleration of Energetic Electrons Observed at the Synchronous Altitude during Magnetospheric Substorms'. J. Geophys. Res. 73, 5786.

    ADS  Google Scholar 

  • Parks, G. K., Laval, G. and Pellat, R.: 1972, 'Behavior of Outer Radiation Zone and a New Model of Magnetospheric Substorm'. Planetary Space Sci. 20, 1291.

    Article  Google Scholar 

  • Parks, G. K., Chen, L. J., McCarthy, M., Larson, D., Lin, R. P. and Phan, T.: 1998, 'New Observations of Ion Beams in the Plasma Sheet Boundary Layer'. Geophys. Res. Lett. 25, 3285.

    Article  ADS  Google Scholar 

  • Parks, G. K., Chen, L. J., Fillingim, M. and McCarthy, M.: 2001, 'Kinetic Characterization of Plasma Sheet Dynamics'. Space Sci. Rev. 95, 237.

    Article  ADS  Google Scholar 

  • Parks, G. K., Chen, L. J., Fillingim, M., Lin, R. P., Larson, D. and McCarthy, M.: 2002, 'A New Framework for Studying the Relationship of Aurora and Plasma Sheet Dynamics'. J. Atmos. Solar Terres. Phys. 64, 115.

    Article  ADS  Google Scholar 

  • Parks, G. K.: 2003, Physics of Space Plasmas, An Introduction, Second Edition, Perseus Publishing Company, Boulder, Colorado.

    Google Scholar 

  • Pegram, G. B.: 1917, 'Unipolar Induction and Electron Theory'. Phys. Rev. 10, 591.

    Article  ADS  Google Scholar 

  • Pierrard, V., Issautier, K., Meyer-Vernet, N. and Lemaire, J.: 2001, 'Collisionless Model of the Solar Wind in s Spiral Magnetic Field'. Geophys. Res. Lett. 28, 223.

    Article  ADS  Google Scholar 

  • Rothwell, P. L.: 2003, 'The Superposition of Rotating and Stationary Magnetic Sources: Implications for the Auroral Region'. Phys. Plasmas. 7, 2971.

    Article  ADS  Google Scholar 

  • Roux, A., Perraut, S., Robert, P., Morane, A., Pedersen, A. and Korth, A.: 1991, 'Plasma Sheet Instability Related to the Westward Travelling Surge'. J. Geophys. Res. 96, 17697.

    Article  ADS  Google Scholar 

  • Sauvaud, J. A., Treilhou, J. P., Saint-Marc, A., Dandouras, J., Réme, H. and Korth, A.: 1987, 'Large Scale Response of the Magnetosphere to a Southward Turning of the Interplanetary Magnetic Field'. J. Geophys. Res. 92, 2365.

    ADS  Google Scholar 

  • Schiff, L. I.: 1939, 'A Question in General Relativity'. Proc. Nat. Acad. Sci. 25, 391.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Scudder, J.: 1994, 'Ion and Electron Supratherman Tail Strengths in the Transition Region: Support for the Velocity Filtration Model on the Corona'. Apstrophys. J. 427, 446.

    Article  ADS  Google Scholar 

  • Song, Y. and Lysak, R.: 2001, 'Towards a New Paradigm: from a Quasi-steady Description to a Dynamical Description of the Magnetosphere'. Space Sci. Rev. 95, 273.

    Article  ADS  Google Scholar 

  • Speiser, T. and Lyons, L.: 1984, 'Comparison of an Analytical Solution for Particle Motion in a Current Sheet with Precise Numerical Calculation'. J. Geophys. Res. 89, 147.

    ADS  Google Scholar 

  • Swann, W. F. G.: 1919, 'Unipolar Induction'. Phys. Rev. 15, 365.

    Article  ADS  Google Scholar 

  • Takahashi, K. and Hones, E.: 1988, 'ISEE 1 and 2 Observations of Ion Distributions at the Plasma Sheet-Tail Lobe Boundary'. J. Geophys. Res. 93, 8558.

    ADS  Google Scholar 

  • Zouganelis, I., Maxsimovic, M., Meyer-Venet, N., Lamy, H. and Pierrard, V.: 2003, 'A New Exospheric Model of the Solar Wind Acceleration: The Transsonic Solution'. Solar Wind 10.

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parks, G.K. Why space physics needs to go beyond the MHD box. Space Science Reviews 113, 97–121 (2004). https://doi.org/10.1023/B:SPAC.0000042941.14372.9b

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:SPAC.0000042941.14372.9b

Keywords

Navigation