Ion distributions in the Earth's foreshock: Hybrid‐Vlasov simulation and THEMIS observations

We present the ion distribution functions in the ion foreshock upstream of the terrestrial bow shock obtained with Vlasiator, a new hybrid‐Vlasov simulation geared toward large‐scale simulations of the Earth's magnetosphere (http://vlasiator.fmi.fi). They are compared with the distribution functions measured by the multispacecraft Time History of Events and Macroscale Interactions during Substorms (THEMIS) mission. The known types of ion distributions in the foreshock are well reproduced by the hybrid‐Vlasov model. We show that Vlasiator reproduces the decrease of the backstreaming beam speed with increasing distance from the foreshock edge, as well as the beam speed increase and density decrease with increasing radial distance from the bow shock, which have been reported before and are visible in the THEMIS data presented here. We also discuss the process by which wave‐particle interactions cause intermediate foreshock distributions to lose their gyrotropy. This paper demonstrates the strength of the hybrid‐Vlasov approach which lies in producing uniformly sampled ion distribution functions with good resolution in velocity space, at every spatial grid point of the simulation and at any instant. The limitations of the hybrid‐Vlasov approach are also discussed.

[1]  Minna Palmroth,et al.  Vlasiator: First global hybrid-Vlasov simulations of Earth's foreshock and magnetosheath , 2014 .

[2]  David G. Sibeck,et al.  The link between shocks, turbulence, and magnetic reconnection in collisionless plasmas , 2014 .

[3]  H. Koskinen,et al.  Ion distributions upstream and downstream of the Earth's bow shock: first results from Vlasiator , 2013 .

[4]  Uppsala,et al.  Wave dispersion in the hybrid-Vlasov model: Verification of Vlasiator , 2013, 1311.3793.

[5]  M. Gedalin,et al.  Rippled quasi‐perpendicular collisionless shocks: Local and global normals , 2013 .

[6]  M. Gedalin,et al.  Two‐dimensional hybrid simulations of quasi‐perpendicular collisionless shock dynamics: Gyrating downstream ion distributions , 2013 .

[7]  C. Russell,et al.  The Morphology of ULF Waves in the Earth's Foreshock , 2013 .

[8]  S. Fuselier Suprathermal ions upstream and downstream from the Earth's bow shock , 2013 .

[9]  P. Savoini,et al.  On the origin of the quasi‐perpendicular ion foreshock: Full‐particle simulations , 2013 .

[10]  Minna Palmroth,et al.  Preliminary testing of global hybrid-Vlasov simulation: Magnetosheath and cusps under northward interplanetary magnetic field , 2012 .

[11]  A. Szabo,et al.  Shocklets, SLAMS, and field‐aligned ion beams in the terrestrial foreshock , 2012, 1207.5561.

[12]  A. Szabo,et al.  Observations of electromagnetic whistler precursors at supercritical interplanetary shocks , 2012 .

[13]  B. Lembège,et al.  Origin of backstreaming electrons within the quasi‐perpendicular foreshock region: Two‐dimensional self‐consistent PIC simulation , 2010 .

[14]  K. Meziane,et al.  Low‐frequency whistler waves and shocklets observed at quasi‐perpendicular interplanetary shocks , 2009 .

[15]  Yu Lin,et al.  Hybrid Simulation of Foreshock Waves and Ion Spectra and Their Linkage to Cusp Energetic Ions , 2009 .

[16]  R. Abiad,et al.  The THEMIS ESA Plasma Instrument and In-flight Calibration , 2008 .

[17]  Werner Magnes,et al.  The THEMIS Fluxgate Magnetometer , 2008 .

[18]  Vassilis Angelopoulos,et al.  The THEMIS Mission , 2008 .

[19]  B. Eliasson,et al.  Simulation study of magnetic holes at the Earth's collisionless bow shock , 2007 .

[20]  B. Klecker,et al.  Scattering of field-aligned beam ions upstream of Earth's bow shock , 2007 .

[21]  C. Russell,et al.  Macrostructure of collisionless bow shocks: 2. ULF waves in the foreshock and magnetosheath , 2006 .

[22]  C. Russell,et al.  Macrostructure of collisionless bow shocks: 1. Scale lengths , 2005 .

[23]  Yu Lin,et al.  Three-dimensional global hybrid simulation of dayside dynamics associated with the quasi-parallel bow shock , 2005 .

[24]  J. Eastwood,et al.  Quasi‐monochromatic ULF foreshock waves as observed by the four‐spacecraft Cluster mission: 1. Statistical properties , 2005 .

[25]  E. Möbius,et al.  Multi‐spacecraft observations of diffuse ions upstream of Earth's bow shock , 2004 .

[26]  J. D. Huba,et al.  On magnetic reconnection regimes and associated three‐dimensional asymmetries: Hybrid, Hall‐less hybrid, and Hall‐MHD simulations , 2004 .

[27]  J. Sauvaud,et al.  Simultaneous observations of field-aligned beams and gyrating ions in the terrestrial foreshock , 2004 .

[28]  B. Lembège,et al.  Full particle simulations of short large‐amplitude magnetic structures (SLAMS) in quasi‐parallel shocks , 2004 .

[29]  Yu Lin Global-scale simulation of foreshock structures at the quasi-parallel bow shock , 2003 .

[30]  H. Kucharek,et al.  Short large-amplitude magnetic structures and whistler wave precursors in a full-particle quasi-parallel shock simulation , 2003 .

[31]  T. Horbury,et al.  Observations of the spatial and temporal structure of field-aligned beam and gyrating ring distributions at the quasi-perpendicular bow shock with Cluster CIS , 2001 .

[32]  G. Parks,et al.  Three‐dimensional observations of gyrating ion distributions far upstream from the Earth's bow shock and their association with low‐frequency waves , 2001 .

[33]  B. Lembège,et al.  Nonstationarity of a two-dimensional quasiperpendicular supercritical collisionless shock by self-reformation , 1992 .

[34]  John M. Dawson,et al.  Self‐consistent study of a perpendicular collisionless and nonresistive shock , 1987 .

[35]  D. Gurnett,et al.  Ion beams and the ion/ion acoustic instability upstream from the Earth's bow shock , 1987 .

[36]  B. Mauk,et al.  Upstream gyrophase bunched ions: A mechanism for creation at the bow shook and the growth of velocity space structure through gyrophase mixing , 1983 .

[37]  C. Russell,et al.  Distribution of MHD wave activity in the foreshock region and properties of backstreaming protons , 1983 .

[38]  C. Russell,et al.  Plasma rest frame frequencies and polarizations of the low-frequency upstream waves: ISEE 1 and 2 Observations , 1983 .

[39]  J. D. Sullivan,et al.  Solar wind deceleration and MHD turbulence in the earth's foreshock region: ISEE 1 and 2 and IMP 8 observations , 1983 .

[40]  N. Sckopke,et al.  Observations of gyrating ions in the foot of the nearly perpendicular bow shock , 1982 .

[41]  Charles C. Goodrich,et al.  The structure of perpendicular bow shocks , 1982 .

[42]  C. Bonifazi,et al.  Reflected and diffuse ions backstreaming from the Earth's bow shock 1. Basic properties , 1981 .

[43]  S. Orsini,et al.  Backstreaming ions outside the Earth's bow shock and their interaction with the solar wind , 1980 .

[44]  C. Russell,et al.  Association of low‐frequency waves with suprathermal ions in the upstream solar wind , 1979 .

[45]  N. Sckopke,et al.  Observations of two distinct populations of bow shock ions in the upstream solar wind , 1978 .

[46]  Hank Childs,et al.  VisIt: An End-User Tool for Visualizing and Analyzing Very Large Data , 2011 .

[47]  P. Daly,et al.  Multi-Spacecraft Analysis of Plasma Kinetics , 2010 .

[48]  M. Jeřáb,et al.  Improved bow shock model with dependence on the IMF strength , 2005 .

[49]  R. Treumann,et al.  The Foreshock , 2005 .

[50]  C. Russell,et al.  ULF waves and their influence on bow shock and magnetosheath structures , 2004 .

[51]  P. Daly,et al.  Analysis methods for multi-spacecraft data , 1998 .

[52]  C. Russell,et al.  Gyrating ions and large‐amplitude monochromatic MHD waves upstream of the Earth's bow shock , 1985 .

[53]  T. Sanderson,et al.  Observations of upstream ions and low-frequency waves on ISEE 3 , 1983 .