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Detailed Reference Information |
Caballero-Lopez, R.A. and Moraal, H. (2004). Limitations of the force field equation to describe cosmic ray modulation. Journal of Geophysical Research 109: doi: 10.1029/2003JA010098. issn: 0148-0227. |
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The force field approximation to the transport equation which describes cosmic ray modulation in the heliosphere is a widely used tool. It is popular because it provides an easy to use, quasi-analytical method to describe the level of modulation with a single parameter. A simple numerical solution of the one-dimensional cosmic ray transport equation is used to show that this is a good approximation for galactic cosmic rays in the inner heliosphere but that its accuracy decreases toward the outer heliosphere. On the other hand, the even simpler convection-diffusion approximation improves with radial distance. The reason for the complementary behavior of these two approximations is that energy losses are relatively important in the inner heliosphere but not in the outer heliosphere. The force field approximation is worse for anomalous cosmic rays at all radial distances due to the exponential cutoff of these spectra at high energies. The ranges of validity are quantified. Since both approximations have their limitations, a simple numerical solution of the one-dimensional transport equation is provided for general use. |
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Abstract |
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Keywords
Interplanetary Physics, Cosmic rays, Interplanetary Physics, Instruments and techniques, Space Plasma Physics, Charged particle motion and acceleration, Space Plasma Physics, Numerical simulation studies, Space Plasma Physics, Transport processes, limitations of the force field equation |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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