Time-dependent cosmic ray modulation

Advances in Space Research

Volumn 47, Issue 9, 2011, Pages 1529-1537

  Manuel, R ^a   Ferreira, S E S ^a   Potgieter, M S ^a   Strauss, R D ^a   Engelbrecht, N E ^a  

^a NORTH WEST UNIVERSITY   (South Africa)

Author keywords

Cosmic rays; Diffusion coefficients; Drifts; Heliosphere; Solar cycle; Voyager spacecraft

Indexed keywords

COSMOLOGY; DIFFUSION; MODULATION; SOLAR ENERGY; UPPER ATMOSPHERE;

COSMIC RAY MODULATION; DRIFTS; HELIOSPHERES; MAGNETIC FIELD MAGNITUDES; SOLAR CYCLE; SPACECRAFT OBSERVATIONS; TIME-DEPENDENT MODULATION; VOYAGER SPACECRAFT;

COSMIC RAYS;

EID: 79953025170     PISSN: 02731177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asr.2010.12.007     Document Type: Article

References (51)

1. J.W. Bieber, W.H. Matthaeus, C.W. Smith, W. Wanner, M.-B. Kallenrode, and G. Wibberenz Proton and electron mean free paths: the Palmer consensus revisited Astrophys. J. 420 1994 294 306 (Pubitemid 24972767)
2. R.A. Burger, M.S. Potgieter, and B. Heber Rigidity dependence of cosmic ray proton latitudinal gradients measured by the Ulysses spacecraft: implications for the diffusion tensor J. Geophys. Res. 105 2000 27447 27455
3. L.F. Burlaga, F.B. McDonald, and N.F. Ness Cosmic ray modulation and the distant heliospheric magnetic field - Voyager 1 and 2 observations from 1986 to 1989 J. Geophys. Res. 98 17 1993 1 11
4. L.F. Burlaga, N.F. Ness, and M.H. Acuña Magnetic fields in the heliosheath and distant heliosphere: Voyager 1 and 2 observations during 2005 and 2006 J. Astrophys. 668 2007 1246 1258
5. H.V. Cane, G. Wibberenz, I.G. Richardson, and T.T. von Rosenvinge Cosmic ray modulation and the solar magnetic field Geophys. Res. Lett. 26 1999 565 568 (Pubitemid 29276368)
6. J. Chen, and J.W. Bieber Cosmic-ray anisotropies and gradients in three dimensions J. Astrophys. 405 1993 375 389
7. Engelbrecht, N. On the heliospheric diffusion tensor and its effect on 26-day recurrent cosmic ray variations. Master's thesis. North-West University, South Africa, 2008.
8. Ferreira, S.E.S., Potgieter, M.S., Burger, R.A. Comparison of a two- and three-dimensional drift model, in: Proc. 26th Inter. Cosmic Ray Conf. (USA), vol. 7, No. 77F, 1999.
9. S.E.S. Ferreira, M.S. Potgieter, R.A. Burger, B. Heber, and H. Fichtner Modulation of Jovian and galactic electrons in the heliosphere: 1. Latitudinal transport of a few MeV electrons J. Geophys. Res. 106 2001 24979 24988
10. Ferreira, S.E.S. The heliospheric transport of galactic cosmic rays and Jovian electrons. Ph.D. thesis. Potchefstroom University for Christian Higher Education, South Africa, 2002.
11. S.E.S. Ferreira, and M.S. Potgieter Long-term cosmic-ray modulation in the heliosphere Astrophys J. 603 2004 744 752 (Pubitemid 38545822)
12. S.E.S. Ferreira, and K. Scherer Time evolution of galactic and anomalous cosmic ray spectra in a dynamic heliosphere Astrophys J. 642 2006 1256 1266 (Pubitemid 44072909)
13. S.E.S. Ferreira, M.S. Potgieter, and K. Scherer Modeling of the heliospheric interface, magnetic field, and cosmic-ray transport Astrophys. J. 659 2007 1777 1783
14. S.E.S. Ferreira, M.S. Potgieter, and K. Scherer Transport and acceleration of anomalous cosmic rays in the inner heliosheath J. Geophys. Res. 112 2007 11101
15. Ferreira, S.E.S. Theory of cosmic ray modulation, in: Gopalswamy, N., Webb, D.F. (Eds.), Universal Heliophysical Processes, Proc. of the International Astronomical Union, IAU Symposium, vol. 4, No. S257, pp. 429-438, 2009.
16. H. Fichtner Cosmic rays in the heliosphere: progress in the modelling during the past 10 years Adv. Space Res. 35 2005 512 517 (Pubitemid 40822067)
17. V. Florinski, G.P. Zank, and N.V. Pogorelov Galactic cosmic ray transport in the global heliosphere J. Geophys. Res. 108 2003 1
18. J. Giacalone, and J.R. Jokipii The transport of cosmic rays across a turbulent magnetic field Astrophys. J. 520 1999 204 214
19. M. Hattingh, and R.A. Burger A new simulated wavy neutral sheet drift model Adv. Space Res. 16 9 1995 213 216
20. B. Heber, and M.S. Potgieter Cosmic rays at high heliolatitudes Space Sci. Rev. 127 2006 117 194 (Pubitemid 46473776)
21. B. Heber, A. Kopp, J. Gieseler, R. Müller-Mellin, H. Fichtner, K. Scherer, M.S. Potgieter, and S.E.S. Ferreira Modulation of galactic cosmic ray protons and electrons during an unusual solar minimum Astrophys. J. 699 2009 1956 1963
22. Hoeksema, J.T. Large-scale structure of the heliospheric magnetic field - 1976-1991, in: Marsch, E., Schwenn, R. (Eds.), Solar Wind Seven, COSPAR Colloquia Series 3, pp. 191-196, 1992.
23. J.R. Jokipii, E.H. Levy, and W.B. Hubbard Effects of particle drift on cosmic-ray transport. I. General properties, application to solar modulation Astrophys. J. 213 3 1977 861 868
24. Langner, U.W., Potgieter, M.S. Possible explanations of anomalous spectra observed with Voyager 1 crossing the solar wind termination shock, in: Heerikhuisen, J. et al. (Eds.), Physics of the Inner Heliosheath, AIP Conf. Proc., vol. 858, pp. 233-238, 2006.
25. U.W. Langner, and M.S. Potgieter The role of radial perpendicular diffusion and latitude dependent acceleration along the solar wind termination shock Adv. Space Res. 41 2008 368 372 (Pubitemid 350250940)
26. J.A. le Roux, and M.S. Potgieter Episodic cosmic-ray modulation in the heliosphere Adv. Space Res. 9 1989 225 228
27. J.A. le Roux, and M.S. Potgieter A time-dependent drift model for the long-term modulation of cosmic rays with special reference to asymmetries with respect to the solar minimum of 1987 Astrophys. J. 361 1990 275 282
28. J.A. le Roux, and M.S. Potgieter The simulated features of heliospheric cosmic-ray modulation with a time-dependent drift model. IV - the role of heliospheric neutral sheet deformation Astrophys. J. 397 1992 686 693
29. J.A. le Roux, and M.S. Potgieter The simulation of complete 11 and 12 year modulation cycles for cosmic rays in the heliosphere using a drift model with global merged interaction regions Astrophys. J. 442 1995 847 851
30. J.A. le Roux, G.P. Zank, and V.S. Ptuskin An evaluation of perpendicular diffusion models regarding cosmic ray modulation on the basis of a hydromagnetic description for solar wind turbulence J. Geophys. Res. 104 A11 1999 24845 24862
31. J. Minnie, J.W. Bieber, W.H. Matthaeus, and R.A. Burger Suppression of particle drifts by turbulence Astrophys. J. 670 2007 1149 1158
32. D.M. Moeketsi, M.S. Potgieter, S.E.S. Ferreira, B. Heber, H. Fichtner, and V.K. Henize The heliospheric modulation of 3 10 MeV electrons: modeling of changes in the solar wind speed in relation to perpendicular polar diffusion Adv. Space Res. 35 2005 597 604 (Pubitemid 40822077)
33. D.C. Ndiitwani, S.E.S. Ferreira, M.S. Potgieter, and B. Heber Modelling cosmic ray intensities along the Ulysses trajectory Ann. Geophys. 23 2005 1061 1070 (Pubitemid 40678441)
34. E.N. Parker The passage of energetic charged particles through interplanetary space Planet. Space Sci. 13 1965 9 49
35. J.S. Perko, and L.A. Fisk Solar modulation of galactic cosmic rays. V - time-dependent modulation J. Geophys. Res. 88 17 1983 9033 9036 (Pubitemid 14503309)
36. M.S. Potgieter, and H. Moraal A drift model for the modulation of galactic cosmic rays Astrophys. J. 294 1985 425 440
37. M.S. Potgieter Time-dependent cosmic-ray modulation - role of drifts and interaction regions Adv. Space Res. 13 1993 239 249
38. M.S. Potgieter, J.A. le Roux, L.F. Burlaga, and F.B. McDonald The role of merged interaction regions and drifts in the heliospheric modulation of cosmic rays beyond 20 AU - a computer simulation Astrophys. J. 403 1993 760 768
39. M.S. Potgieter The heliospheric modulation of galactic cosmic rays at solar minimum Adv. Space Res. 19 1997 883 892
40. M.S. Potgieter The modulation of galactic cosmic rays in the heliosphere: theory and models Space Sci. Rev. 83 1998 147 158 (Pubitemid 128692763)
41. M.S. Potgieter Heliospheric modulation of cosmic ray protons: role of enhanced perpendicular diffusion during periods of minimum solar modulation J. Geophys. Res. 105 2000 18295 18304
42. G. Qin, W.H. Matthaeus, and J.W. Bieber Subdiffusive transport of charged particles perpendicular to the large scale magnetic field Geophys. Res. Lett. 29 7 2002 1 4
43. K. Scherer, and S.E.S. Ferreira A heliospheric hybrid model: hydrodynamic plasma flow and kinetic cosmic ray transport ASTRA 1 2005 17 27 (Pubitemid 43980722)
44. K. Scherer, and S.E.S. Ferreira The heliomagnetic and solar-cycle related variations of the cosmic ray flux modeled with the BoPo-hybrid code Astron. Astrophys. 442 2005 L11 L14
45. A. Shalchi, J.W. Bieber, and W.H. Matthaeus Analytic forms of the perpendicular diffusion coefficient in magnetostatic turbulence Astrophys. J. 604 2004 675 686 (Pubitemid 38726793)
46. O. Stawicki Quasi-linear drift of cosmic rays in weak turbulent electromagnetic fields Astrophys. J. 624 2005 178 188 (Pubitemid 40792758)
47. R.duT. Strauss, M.S. Potgieter, and S.E.S. Ferreira The heliospheric transport and modulation of multiple charged anomalous oxygen revisited Astron. Astrophys. 513 A24 2010 1 6
48. A. Teufel, and R. Schlickeiser Analytic calculation of the parallel mean free path of heliospheric cosmic rays. I. Dynamical magnetic slab turbulence and random sweeping slab turbulence Astron. Astrophys. 393 2002 703 715
49. A. Teufel, and R. Schlickeiser Analytic calculation of the parallel mean free path of heliospheric cosmic rays. II. Dynamical magnetic slab turbulence and random sweeping slab turbulence with finite wave power at small wavenumbers Astron. Astrophys. 397 2003 15 25
50. W.R. Webber, and J.A. Lockwood Intensity variations of >70-MeV cosmic rays measured by Pioneer 10, Voyager 1, 2, and IMP in the heliosphere during the recovery period from 1992 to 1995 Geophys. Res. Lett. 22 1995 2669 2672
51. G. Wibberenz, I.G. Richardson, and H.V. Cane A simple concept for modeling cosmic ray modulation in the inner heliosphere during solar cycles 20-23 J. Geophys. Res. 107 A11 2002 1 15 SSH5