Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-28T10:52:18.708Z Has data issue: false hasContentIssue false

Theory of cosmic ray modulation

Published online by Cambridge University Press:  01 September 2008

Stefan E. S. Ferreira*
Affiliation:
Unit for Space Physics, North-West University, 2520 Potchefstroom, South Africa email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This work aims to give a brief overview on the topic of cosmic ray modulation in the heliosphere. The heliosphere, heliospheric magnetic field, transport parameters and the transport equation together with modulation models, which solve this equation in various degree of complexity, are briefly discussed. Results from these models are then presented where first it is shown how cosmic rays are globally distributed in an asymmetrical heliosphere which results from the relative motion between the local interstellar medium and the Sun. Next the focus shifts to low-energy Jovian electrons. The intensities of these electrons, which originate from a point source in the inner heliosphere, exhibit a unique three-dimensional spiral structure where most of the particles are transported along the magnetic field lines. Time-dependent modulation is also discussed where it is shown how drift effects together with propagating diffusion barriers are responsible for modulation over a solar cycle.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2009

References

Baranov, V. B. & Malama, Y. G. 1995, J. Geophys. Res., 100, 14755CrossRefGoogle Scholar
Bell, A. R. 1978, MNRAS, 182, 147CrossRefGoogle Scholar
Bieber, J. W., Matthaeus, W. H., Shalchi, A., & Qin, G. 2004, Geophys. Res. Lett., 31, 10805CrossRefGoogle Scholar
Bieber, J. W., Matthaeus, W. H., Smith, C. W., Wanner, W., Kallenrode, M.-B., & Wibberenz, G. 1994, ApJ, 420, 294CrossRefGoogle Scholar
Blandford, R. D. & Ostriker, J. P. 1978, ApJ, 221, L29CrossRefGoogle Scholar
Borrmann, T. & Fichtner, H. 2005, Adv. Sp. Res., 35, 2091CrossRefGoogle Scholar
Burger, R. A. 2005, Adv. Sp. Res., 35, 636CrossRefGoogle Scholar
Burger, R. A. & Hitge, M. 2004, ApJ, 617, L73CrossRefGoogle Scholar
Burger, R. A., Krüger, T. P. J., Hitge, M., & Engelbrecht, N. E. 2008, ApJ, 674, 511CrossRefGoogle Scholar
Burger, R. A., Potgieter, M. S., & Heber, B. 2000, J. Geophys. Res., 105, 27447CrossRefGoogle Scholar
Burger, R. A., van Niekerk, Y., & Potgieter, M. S. 2001, Space Sci. Revs, 97, 331CrossRefGoogle Scholar
Burlaga, L. F., McDonald, F. B., & Ness, N. F. 1993, J. Geophys. Res., 98, 1CrossRefGoogle Scholar
Cane, H. V., Wibberenz, G., Richardson, I. G., & von Rosenvinge, T. T. 1999, Gephys. Res. Lett., 26, 565CrossRefGoogle Scholar
Chenette, D. L., Conlon, T. F., & Simpson, J. A. 1974, J. Geophys. Res., 79, 3551CrossRefGoogle Scholar
Decker, R. B., Krimigis, S. M., Roelof, E. C., Hill, M. E., Armstrong, T. P., Gloeckler, G., Hamilton, D. C., & Lanzerotti, L. J. 2005, Science, 309, 2020CrossRefGoogle Scholar
Fahr, H. J., Kausch, T., & Scherer, H. 2000, A&A, 357, 268Google Scholar
Ferreira, S. E. S. & Potgieter, M. S. 2004, ApJ, 603, 744CrossRefGoogle Scholar
Ferreira, S. E. S., Potgieter, M. S., Burger, R. A., Heber, B., Fichtner, H., & Lopate, C. 2001, J. Geophys. Res., 106, 29313CrossRefGoogle Scholar
Ferreira, S. E. S., Potgieter, M. S., & Scherer, K. 2007, J. Geophys. Res., 112, 11101Google Scholar
Ferreira, S. E. S. & Scherer, K. 2006, ApJ, 642, 1256CrossRefGoogle Scholar
Fichtner, H. 2005, Adv. Sp. Res., 35, 512CrossRefGoogle Scholar
Fisk, L. A. 1971, J. Geophys. Res., 76, 221CrossRefGoogle Scholar
Fisk, L. A. 1996, J. Geophys. Res., 101, 15547CrossRefGoogle Scholar
Fisk, L. A. & Gloeckler, G. 2006, ApJ, 640, L79CrossRefGoogle Scholar
Fisk, L. A., Kozlovsky, B., & Ramaty, R. 1974, ApJ, 190, L35CrossRefGoogle Scholar
Fisk, L. A. & Schwadron, N. A. 2001, ApJ, 560, 425CrossRefGoogle Scholar
Florinski, V. & Zank, G. P. 2006, Geophys. Res. Lett., 33, 15110CrossRefGoogle Scholar
Florinski, V., Zank, G. P., & Pogorelov, N. V. 2003, J. Geophys. Res., 108, 1Google Scholar
Forman, M. A. & Jokipii, J. R. 1978, ApSS, 53, 507Google Scholar
Forman, M. A., Jokipii, J. R., & Owens, A. J. 1974, ApJ, 192, 535CrossRefGoogle Scholar
Friis-Christensen, E. & Svensmark, H. 1997, Adv. Sp. Res., 20, 913CrossRefGoogle Scholar
Giacalone, J. & Jokipii, J. R. 1999, ApJ, 520, 204CrossRefGoogle Scholar
Gleeson, L. J. & Axford, W. I. 1967, ApJ, 149, L115CrossRefGoogle Scholar
Hattingh, M. & Burger, R. A. 1995, Adv. Sp. Res., 16, 213CrossRefGoogle Scholar
Hoeksema, J. T. 1992, in Solar Wind Seven Colloquium, 191CrossRefGoogle Scholar
Holzer, T. E. 1989, ARAA, 27, 199CrossRefGoogle Scholar
Izmodenov, V., Malama, Y., & Ruderman, M. S. 2005, A&A, 429, 1069Google Scholar
Jokipii, J. R. 1966, ApJ, 146, 480CrossRefGoogle Scholar
Jokipii, J. R., Levy, E. H., & Hubbard, W. B. 1977, ApJ, 213, 861CrossRefGoogle Scholar
Kallenbach, R., Hilchenbach, M., Chalov, S. V., Le Roux, J. A., & Bamert, K. 2005, A&A, 439, 1Google Scholar
Kota, J. & Jokipii, J. R. 1983, ApJ, 265, 573CrossRefGoogle Scholar
Kóta, J. & Jokipii, J. R. 1999, in Proc. 26th Int. Cosmic Ray Conf., Vol. 7, 9Google Scholar
Langner, U. W. & Potgieter, M. S. 2005, ApJ, 630, 1114CrossRefGoogle Scholar
Langner, U. W., Potgieter, M. S., Fichtner, H., & Borrmann, T. 2006, J. Geophys. Res., 111, 1106Google Scholar
le Roux, J. A. & Fichtner, H. 1999, J. Geophys. Res., 104, 4709Google Scholar
le Roux, J. A. & Potgieter, M. S. 1989, Adv. Sp. Res., 9, 225CrossRefGoogle Scholar
le Roux, J. A. & Potgieter, M. S. 1990, ApJ, 361, 275CrossRefGoogle Scholar
le Roux, J. A. & Potgieter, M. S. 1995, ApJ, 442, 847CrossRefGoogle Scholar
le Roux, J. A., Zank, G. P., Li, G., & Webb, G. M. 2005, ApJ, 626, 1116CrossRefGoogle Scholar
le Roux, J. A., Zank, G. P., & Ptuskin, V. S. 1999, J. Geophys. Res., 104, 24845CrossRefGoogle Scholar
Lee, M. A. & Fichtner, H. 2001, in The Outer Heliosphere: The Next Frontiers, ed. Scherer, K., Fichtner, H., Fahr, H. J., & Marsch, E., 183CrossRefGoogle Scholar
Lerche, I. & Schlickeiser, R. 2001, A&A, 378, 279Google Scholar
Matthaeus, W. H., Qin, G., Bieber, J. W., & Zank, G. P. 2003, ApJ, 590, L53CrossRefGoogle Scholar
McComas, D. J., Elliott, H. A., Schwadron, N. A., Gosling, J. T., Skoug, R. M., & Goldstein, B. E. 2003, Geophys. Res. Lett., 30, 24CrossRefGoogle Scholar
McComas, D. J., Goldstein, R., Gosling, J. T., & Skoug, R. M. 2001, Space Sci. Revs, 97, 99CrossRefGoogle Scholar
McComas, D. J. & Schwadron, N. A. 2006, Geophys. Res. Lett., 33, 4102Google Scholar
Minnie, J., Bieber, J. W., Matthaeus, W. H., & Burger, R. A. 2007, ApJ, 663, 1049CrossRefGoogle Scholar
Minnie, J., Burger, R. A., Parhi, S., Matthaeus, W. H., & Bieber, J. W. 2005, Adv. Sp. Res., 35, 543CrossRefGoogle Scholar
Moraal, H., Belov, A., & Clem, J. M. 2000, Space Sci. Revs, 93, 285CrossRefGoogle Scholar
Moraal, H. & Potgieter, M. S. 1982, ApSS, 84, 519Google Scholar
Müller, H.-R., Frisch, P. C., Florinski, V., & Zank, G. P. 2006, ApJ, 647, 1491CrossRefGoogle Scholar
Ndiitwani, D. C., Ferreira, S. E. S., Potgieter, M. S., & Heber, B. 2005, Annales Geophysicae, 23, 1061CrossRefGoogle Scholar
Opher, M., Stone, E. C., & Liewer, P. C. 2006, ApJ, 640, L71CrossRefGoogle Scholar
Paizis, C., et al. 1999, J. Geophys. Res., 104, 28241CrossRefGoogle Scholar
Parker, E. N. 1958, ApJ, 128, 664CrossRefGoogle Scholar
Parker, E. N. 1965, Planet. Space Sci., 13, 9CrossRefGoogle Scholar
Parker, E. N. 2005, Space Weather, 3, S08004CrossRefGoogle Scholar
Pauls, H. L. & Zank, G. P. 1996, J. Geophys. Res., 101, 17081CrossRefGoogle Scholar
Pauls, H. L. & Zank, G. P. 1997, J. Geophys. Res., 102, 19779CrossRefGoogle Scholar
Perko, J. S. & Fisk, L. A. 1983, J. Geophys. Res., 88, 9033CrossRefGoogle Scholar
Pogorelov, N. V., Zank, G. P., & Ogino, T. 2006, ApJ, 644, 1299CrossRefGoogle Scholar
Potgieter, M. S. 1998, Space Sci. Revs, 83, 147CrossRefGoogle Scholar
Qin, G., Matthaeus, W. H., & Bieber, J. W. 2002, Geophys. Res. Lett., 29, 7CrossRefGoogle Scholar
Scherer, K. & Fahr, H. J. 2003a, Ann. Geophys., 21, 1303CrossRefGoogle Scholar
Scherer, K. & Fahr, H. J. 2003b, Geophys. Res. Lett., 30, 17CrossRefGoogle Scholar
Scherer, K. & Ferreira, S. E. S. 2005, ASTRA, 1, 17Google Scholar
Scherer, K., et al. 2006, Space Sci. Revs, 127, 327CrossRefGoogle Scholar
Scherer, K., Fichtner, H., Ferreira, S. E. S., Büsching, I., & Potgieter, M. S. 2008, ApJ, 680, L105CrossRefGoogle Scholar
Shalchi, A. 2006, A&A, 453, L43Google Scholar
Shalchi, A., Bieber, J. W., & Matthaeus, W. H. 2004, ApJ, 604, 675CrossRefGoogle Scholar
Shalchi, A., Bieber, J. W., & Matthaeus, W. H. 2008, A&A, 483, 371Google Scholar
Shaviv, N. J. 2003, New Astronomy, 8, 39CrossRefGoogle Scholar
Shaviv, N. J. & Veizer, J. 2003, GSA Today, 13, 42.0.CO;2>CrossRefGoogle Scholar
Simpson, J. A., et al. 1995, Science, 268, 1019CrossRefGoogle Scholar
Simpson, J. A., Hamilton, D. C., McKibben, R. B., Mogro-Campero, A., Pyle, K. R., & Tuzzolino, A. J. 1974, J. Geophys. Res., 79, 3522CrossRefGoogle Scholar
Simpson, J. A., Zhang, M., & Bame, S. 1996, ApJ, 465, L69CrossRefGoogle Scholar
Stawicki, O. 2005a, Adv. Sp. Res., 35, 547CrossRefGoogle Scholar
Stawicki, O. 2005b, ApJ, 624, 178CrossRefGoogle Scholar
Steenberg, C. D. & Moraal, H. 1996, ApJ, 463, 776CrossRefGoogle Scholar
Stone, E. C., Cummings, A. C., McDonald, F. B., Heikkila, B. C., Lal, N., & Webber, W. R. 2005, Science, 309, 2017CrossRefGoogle ScholarPubMed
Suess, S. T. 1990, Rev. Geophys., 28, 97CrossRefGoogle Scholar
Svensmark, H. 1998, Phys. Rev. Lett., 81, 5027CrossRefGoogle Scholar
Teufel, A. & Schlickeiser, R. 2002, A&A, 393, 703Google Scholar
Washimi, H. & Tanaka, T. 1996, Space Sci. Revs, 78, 85CrossRefGoogle Scholar
Webb, G. M. & Gleeson, L. J. 1979, ApSS, 60, 335Google Scholar
Webb, G. M., Zank, G. P., Kaghashvili, E. K., & le Roux, J. A. 2006, ApJ, 651, 211CrossRefGoogle Scholar
Wibberenz, G., Richardson, I. G., & Cane, H. V. 2002, J. Geophys. Res., 107, 5Google Scholar
Zank, G. P. & Müller, H.-R. 2003, J. Geophys. Res., 108, 7Google Scholar
Zhang, M. 1997, ApJ, 488, 841CrossRefGoogle Scholar
Zhang, M. 2006, in AIP Conf. Proc. 858: Physics of the inner heliosheath: 5th Annual IGPP International Astrophysics Conference, ed. Heerikhuisen, J. & et al. , 226Google Scholar