# An Exact, Time-dependent Analytical Solution for the Magnetic Field in the Inner Heliosheath

@inproceedings{Roken2021AnET, title={An Exact, Time-dependent Analytical Solution for the Magnetic Field in the Inner Heliosheath}, author={Christian Roken and Jens Kleimann and Horst Fichtner}, year={2021} }

ABSTRACT. We derive an exact, time-dependent analytical magnetic field solution for the inner heliosheath, which satisfies both the induction equation of ideal magnetohydrodynamics in the limit of infinite electric conductivity and the magnetic divergence constraint. To this end, we assume that the magnetic field is frozen into a plasma flow resembling the characteristic interaction of the solar wind with the local interstellar medium. Furthermore, we make use of the ideal Ohm’s law for the…

## References

SHOWING 1-10 OF 30 REFERENCES

Toward more realistic analytic models of the heliotail: Incorporating magnetic flattening via distortion flows

- Physics
- 2015

Both physical arguments and simulations of the global heliosphere indicate that the tailward heliopause is flattened considerably in the direction perpendicular to both the incoming flow and the…

An Improved Analytical Model of the Local Interstellar Magnetic Field: The Extension to Compressibility

- Physics
- 2017

A previously published analytical magnetohydrodynamic model for the local interstellar magnetic field in the vicinity of the heliopause (R\"oken et al. 2015) is extended from incompressible to…

Modeling the Plasma Flow in the Inner Heliosheath with a Spatially Varying Compression Ratio

- Physics
- 2017

We examine a semi-analytical non-magnetic model of the termination shock location previously developed by
Exarhos & Moussas. In their study, the plasma flow beyond the shock is considered…

An exact analytical solution for the interstellar magnetic field in the vicinity of the heliosphere

- Physics
- 2014

An analytical representation of the interstellar magnetic field in the vicinity of the heliosphere is derived. The three-dimensional field structure close to the heliopause is calculated as a…

Draping of the Interstellar Magnetic Field over the Heliopause: a Passive Field Model

- Physics
- 2014

As the local interstellar plasma flows past our heliosphere, it is slowed and deflected around the magnetic obstacle of the heliopause. The interstellar magnetic field, frozen into this plasma, then…

A model of the heliosphere with jets

- Physics
- 2015

An analytic model of the heliosheath (HS) between the termination shock (TS) and the heliopause (HP) is developed in the limit in which the interstellar flow and magnetic field are neglected. The…

Three-dimensional Features of the Outer Heliosphere Due to Coupling between the Interstellar and Heliospheric Magnetic Field. V. The Bow Wave, Heliospheric Boundary Layer, Instabilities, and Magnetic Reconnection

- Physics
- 2017

The heliosphere is formed due to interaction between the solar wind (SW) and local interstellar medium (LISM). The shape and position of the heliospheric boundary, the heliopause, in space depend on…

Plasma and magnetic fields in the heliosheath

- Physics
- 2013

This paper reviews recent results from the Voyager spacecraft in the heliosheath. The speed observed at Voyager 2 (V2) has been constant across the heliosheath, but the flow is turning significantly…

Heliosheath Processes and the Structure of the Heliopause: Modeling Energetic Particles, Cosmic Rays, and Magnetic Fields

- Physics
- 2016

This paper summarizes the results obtained by the team “Heliosheath Processes and the Structure of the Heliopause: Modeling Energetic Particles, Cosmic Rays, and Magnetic Fields” supported by the…

THE EFFECT OF NEW INTERSTELLAR MEDIUM PARAMETERS ON THE HELIOSPHERE AND ENERGETIC NEUTRAL ATOMS FROM THE INTERSTELLAR BOUNDARY

- Physics
- 2014

We present new results from three-dimensional simulations of the solar wind interaction with the local interstellar medium (LISM) using recent observations by NASA's Interstellar Boundary EXplorer…