HR: 1340h
AN: SH23A-1137 [Abstracts]
TI: Four fluid model and numerical simulations of magnetic structures in the heliosheath
AU: Avinash, K
EM: ojavinash@yahoo.co.in
AF: Dept of Physics and Astronomy, Delhi University, Delhi, DEL 110 007, India
AU: Cox, S M
EM: scox001@student.ucr.edu
AF: Institute of Geophysics and Planetary Physics, University of California, Riverside, CA
92521, United States
AU: * Shaikh, D
EM: dastgeer@ucr.edu
AF: Institute of Geophysics and Planetary Physics, University of California, Riverside, CA
92521, United States
AU: Zank, G P
EM: zank@ucr.edu
AF: Institute of Geophysics and Planetary Physics, University of California, Riverside, CA
92521, United States
AB:
A magnetic hole/hump is a stable structure with small scale minima/maxima of the mean magnetic field in the
centre. Such structure has been observed in inter-planetary magnetic field, planetary magneto sheath, cometary's
plasma, and very recently in the heliosheath, as revealed by Voyager I observations. Recently, we have proposed
a realistic three fluid model that comprises of three fluids in the model are electrons, heliosheath ions, and
neutrals. Stationary, time independent solutions of this model consisting of holes, humps, trains of holes and
humps etc. were found to be consistent with Voyager observations e.g. a few tens of ion gyro-radii width, large
magnetic maxima/minima, oblique angles of propagation and well approximated by Gaussians. In the first part of
the present work, we extend the three fluid model to a four fluid model consisting of electrons, pick up ions (PUI),
solar wind ions (SWI), and neutrals. The PUIs are generated by neutrals via charge exchange with SWI. The
kinetic pressure of PUI is nearly three to four times the pressure of SWI. Hence these are more suited to mediate
small scale structures in heliosheath like shocks, magnetic holes/humps etc. We show that the constant energy
exchange between these two fluid drives them non adiabatic. The modified adiabatic index, is calculated by
solving the corresponding enthalpy equation. The PUI are found to be isothermal ( = 1) while SWI have 1.25. In
the four fluid model, these effects are captured by including a modified equation of state for PUIs and SWIs. The
phase space of time independent solutions in terms of the Mach numbers of PUI and SWI is constructed to
delineate the parameter space which allows structure formation. In the second part of the present work, we
examine the stability of our time independent solution by evolving them via a full set of modified Hall-MHD
equations. The evolutions are examined using two codes e.g. a pseudo spectral code and a code based on finite
difference scheme and the results are cross checked. Our results show that (a) single structures, a hole or a
hump, are robustly stable. They propagate without change of shape in homogenous plasma for long time (b) in
collision of two of these structures (hole-hole, hump-hump, hole-hump), the structures are not quite stable. There
seems to be a significant energy exchange between them, consequently structures which go in are different from
the ones which come out of collision event. Besides a portion of energy is also transferred to high frequency
noise and other type oscillations.
DE: 7524 Magnetic fields
DE: 7839 Nonlinear phenomena (4400, 6944)
DE: 7852 Solitons and solitary waves (4455)
SC: SPA-Solar and Heliospheric Physics [SH]
MN: 2007 Fall Meeting