Abstract
Solar energetic particles (SEPs) in the interplanetary (IP) medium are transported under the influence of electromagnetic fields of the solar wind. These fields consists of the smooth background fields, which can be modeled by the MHD equations governing the expansion of the solar wind, and of the small-scale fluctuations (waves or turbulence) that scatter the particles in pitch angle and act as agents enabling their acceleration at IP shock waves. We review theoretical models of SEP transport and acceleration in the IP medium. We start from the simple analytical approaches (diffusion models), which assume quasi-isotropic particle distributions, and then continue to the more accurate numerical approaches based on the focused transport equation, not making this simplifying assumption. A careful analysis of two SEP events, an impulsive and a gradual one, is presented and the spatial scaling of their peak intensities, differential fluences and time-integrated net fluxes is discussed. We conclude that rather simple scaling laws for these quantities can be obtained for impulsive events but no simple scaling laws can be expected to govern the gradual SEP events
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References
Aran, A., Sanahuja, B., Lario, D.: An engineering model for solar energetic particles in interplanetary space. Final Report of ESA/ESTEC Contract 14098/99/NL/MM. Available from http://www.am.ub.es/∼blai (2004)
Aran, A., Sanahuja, B., Lario, D.: A first step towards proton flux forecasting. Adv Space Res, 36, 2333–2338 (2005)
Bell, A.R.: The acceleration of cosmic rays in shock fronts. I. Mon Not Roy Astron Soc, 182, 147–156 (1978)
Cane, H.V., McGuire, R.E., von Rosenvinge, T.T.: Two classes of solar energetic particle events associated with impulsive and long-duration soft X-ray flares. Astrophys J, 301, 448–459 (1986)
Cane, H.V., von Rosenvinge, T.T., Cohen, C.M.S., Mewaldt, R.A.: Two components in major solar particle events. Geophys Res Lett, 30(12), 8017, DOI 10.1029/2002GL016580 (2003)
Gold, R.E., Krimigis, S.M., Hawkins, S.E., III, et al.: Electron, Proton, and Alpha Monitor on the Advanced Composition Explorer spacecraft. Space Sci Rev, 86, 541–562 (1998)
Gordon, B.E., Lee, M.A., Möbius, E., Trattner, K.J.: Coupled hydromagnetic wave excitation and ion acceleration at interplanetary traveling shocks and Earth’s bow shock revisited. J Geophys Res, 104(A12), 28263 (1999)
Heras, A.M., Sanahuja, B., Smith, Z.K., Detman, T., Dryer, M.: The influence of the large-scale interplanetary shock structure on a low-energy particle event. Astrophys J, 391, 359–369 (1992)
Ho, G.C., Roelof, E.C., Mason, G.M., et al.: Onset study of impulsive solar energetic particle events. Adv Space Res, 32, 2679–2684 (2003)
Kahler, S.W., Reames, D.V., Sheeley, N.R., Jr.: Coronal mass ejections associated with impulsive solar energetic particle events. Astrophys J, 562, 558–565 (2001)
Kocharov, L., Torsti, J.: Hybrid solar energetic particle events observed on board SOHO. Solar Phys, 207, 149–157 (2002)
Kocharov, L., Vainio, R., Kovaltsov, G.A., Torsti, J.: Adiabatic deceleration of solar energetic particles as deduced from Monte Carlo simulations of interplanetary transport. Solar Phys, 182, 195–215 (1998)
Lario, D., Sanahuja, B., Heras, A.M.: Energetic particle events: efficiency of interplanetary shocks as 50 keV 100 MeV proton accelerators. Astrophys J, 509, 415–434 (1998)
Lee, M.A.: Coupled hydromagnetic wave excitation and ion acceleration at interplanetary traveling shocks. J Geophys Res, 88, 6109–6119 (1983)
Lee, M.A.: Coupled hydromagnetic wave excitation and ion acceleration at an evolving coronal/interplanetary shock. Astrophys J Suppl Ser, 158, 38–67 (2005)
Mason, G.M., Wiedenbeck, M.E., Miller, J.A., et al.: Spectral properties of He and heavy ions in 3He-rich solar flares. Astrophys J, 574, 1039–1058 (2004)
Ng, C.K., Reames, D.V., Tylka, A.J.: Modeling shock-accelerated solar energetic particles coupled to interplanetary Alfvèn waves. Astrophys J, 591, 461–485 (2003)
Jokipii, J.R.: Cosmic-ray propagation. I. Charged particles in a random magnetic field. Astrophys J, 146, 480 (1966)
Jeakel, U., Schlickeiser, R.: The Fokker-Planck coefficients of cosmic ray transport in random electromagnetic fields. J Phys G, 18, 1089–1118 (1992)
Parker, E.N.: The passage of energetic charged particles through interplanetary space. Planet Space Sci, 13, 9 (1965)
Reames, D.V.: Particle acceleration at the Sun and in the heliosphere. Space Sci Rev, 90, 413–491 (1999)
Reid, G.C.: A Diffusive Model for the Initial Phase of a Solar Proton Event. J Geophys Res, 69, 2659 (1964)
Rice, W.K.M., Zank, G.P., Li, G.: Particle acceleration and coronal mass ejection driven shocks: Shocks of arbitrary strength. J Geophys Res, 108(A10), 1369, DOI 10.1029/2002JA009756 (2003)
Roelof, E.C.: Propagation of solar cosmic rays in the interplanetary magnetic field. In: Ögelman, H., Wayland, J.R. (eds), Lectures in high-energy astrophysics. NASA, Washington DC, p 111 (1969)
Ruffolo, D.: Effect of adiabatic deceleration on the focused transport of solar cosmic rays. Astrophys J, 442, 861–874 (1995)
Sarris, E.T., Krimigis, S.M., Armstrong, T.P.: Observations of magnetospheric bursts of high energy protons and electrons at 35 RE with IMP–7. J Geophys Res, 81, 2341–2355 (1976)
Smith, C.W., L’Heureux, J., Ness, N.F. et al.: The ACE magnetic fields experiment. Space Sci Rev, 86, 613-632 (1998)
Smith, Z.K., Dryer, M.: MHD study of temporal and spatial evolution of simulated interplanetary shocks in the ecliptic plane within 1 AU. Solar Phys, 129, 387–405 (1990)
Torsti, J., Kocharov, L.G., Vainio, R., Anttila, A., Kovaltsov, G.A.: The 1990 May 24 solar cosmic-ray event. Solar Phys, 166, 135 (1996)
Tylka, A., Cohen, C.M.S., Dietrich, W.F., et al.: Evidence for remnant flare suprathermals in the source population of solar energetic particles in the 2000 Bastille day event. Astrophys J, 558, L59–L63 (2001)
Vainio, R.: On the generation of Alfvèn waves by solar energetic particles, Astron Astrophys, 406, 735–740 (2003)
Wibberenz, G., Kunow, H., Iwers, B., Kecskemety, K., Somogyi, A.: Coronal and interplanetary transport of solar energetic protons and electrons. Solar Phys, 124, 353–392 (1989)
Wu, S.T., Dryer, M., Han, S.M.: Non-planar MHD model for solar flare-generated disturbances in the heliospheric equatorial plane. Solar Phys, 84, 395–418 (1983)
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Vainio, R., Agueda, N., Aran, A., Lario, D. (2007). Modeling of Solar Energetic Particles in Interplanetary Space. In: Lilensten, J. (eds) Space Weather. Astrophysics and Space Science Library, vol 344. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5446-7_4
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DOI: https://doi.org/10.1007/1-4020-5446-7_4
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