# A numerical simulation of solar energetic particle dropouts during impulsive events

## Abstract

This paper investigates the conditions for producing rapid variations of solar energetic particle (SEP) intensity commonly known as 'dropouts'. In particular, we use numerical model simulations based on solving the focused transport equation in the three-dimensional Parker interplanetary magnetic field to put constraints on the properties of particle transport coefficients in both directions perpendicular and parallel to the magnetic field. Our calculations of the temporal intensity profile of 0.5 and 5 MeV protons at the Earth show that the perpendicular diffusion must be small while the parallel mean free path is long in order to reproduce the phenomenon of SEP dropouts. When the parallel mean free path is a fraction of 1 AU and the observer is located at 1 AU, the perpendicular to parallel diffusion ratio must be below 10{sup –5} if we want to see the particle flux dropping by at least several times within 3 hr. When the observer is located at a larger solar radial distance, the perpendicular to parallel diffusion ratio for reproducing the dropouts should be even lower than that in the case of 1 AU distance. A shorter parallel mean free path or a larger radial distance from the source to observer willmore »

- Authors:

- State Key Laboratory of Space Weather, National Space Science Center, Chinese Academy of Sciences, Beijing 100190 (China)
- Department of Physics and Space Science, Florida Institute of Technology, Melbourne, FL 32901 (United States)
- Jeremiah Horrocks Institute, University of Central Lancashire, Preston, Lancashire PR1 2HE (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 22365646

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Astrophysical Journal; Journal Volume: 789; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COMPUTERIZED SIMULATION; DIFFUSION; DISTANCE; EMISSION; GRANULATION; HELIOSPHERE; INTERPLANETARY MAGNETIC FIELDS; MEAN FREE PATH; MEV RANGE; PROTONS; SOLAR WIND; SUN; THREE-DIMENSIONAL CALCULATIONS; TRANSPORT THEORY; TURBULENCE

### Citation Formats

```
Wang, Y., Qin, G., Zhang, M., and Dalla, S., E-mail: ywang@spaceweather.ac.cn, E-mail: gqin@spaceweather.ac.cn.
```*A numerical simulation of solar energetic particle dropouts during impulsive events*. United States: N. p., 2014.
Web. doi:10.1088/0004-637X/789/2/157.

```
Wang, Y., Qin, G., Zhang, M., & Dalla, S., E-mail: ywang@spaceweather.ac.cn, E-mail: gqin@spaceweather.ac.cn.
```*A numerical simulation of solar energetic particle dropouts during impulsive events*. United States. doi:10.1088/0004-637X/789/2/157.

```
Wang, Y., Qin, G., Zhang, M., and Dalla, S., E-mail: ywang@spaceweather.ac.cn, E-mail: gqin@spaceweather.ac.cn. Thu .
"A numerical simulation of solar energetic particle dropouts during impulsive events". United States.
doi:10.1088/0004-637X/789/2/157.
```

```
@article{osti_22365646,
```

title = {A numerical simulation of solar energetic particle dropouts during impulsive events},

author = {Wang, Y. and Qin, G. and Zhang, M. and Dalla, S., E-mail: ywang@spaceweather.ac.cn, E-mail: gqin@spaceweather.ac.cn},

abstractNote = {This paper investigates the conditions for producing rapid variations of solar energetic particle (SEP) intensity commonly known as 'dropouts'. In particular, we use numerical model simulations based on solving the focused transport equation in the three-dimensional Parker interplanetary magnetic field to put constraints on the properties of particle transport coefficients in both directions perpendicular and parallel to the magnetic field. Our calculations of the temporal intensity profile of 0.5 and 5 MeV protons at the Earth show that the perpendicular diffusion must be small while the parallel mean free path is long in order to reproduce the phenomenon of SEP dropouts. When the parallel mean free path is a fraction of 1 AU and the observer is located at 1 AU, the perpendicular to parallel diffusion ratio must be below 10{sup –5} if we want to see the particle flux dropping by at least several times within 3 hr. When the observer is located at a larger solar radial distance, the perpendicular to parallel diffusion ratio for reproducing the dropouts should be even lower than that in the case of 1 AU distance. A shorter parallel mean free path or a larger radial distance from the source to observer will cause the particles to arrive later, making the effects of perpendicular diffusion more prominent and SEP dropouts disappear. All of these effects require the magnetic turbulence that resonates with the particles to be low everywhere in the inner heliosphere.},

doi = {10.1088/0004-637X/789/2/157},

journal = {Astrophysical Journal},

number = 2,

volume = 789,

place = {United States},

year = {Thu Jul 10 00:00:00 EDT 2014},

month = {Thu Jul 10 00:00:00 EDT 2014}

}