<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.astrophys-space-sci-trans.net/inc/astra/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Astrophysics and Space Sciences Transactions</journal_title>
		<journal_url>www.astrophys-space-sci-trans.net</journal_url>
		<issn>1810-6528</issn>
		<eissn>1810-6536</eissn>
		<volume_number>3</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2007</publication_year>
	</journal>
	<doi>10.5194/astra-3-21-2007</doi>
	<article_url>http://www.astrophys-space-sci-trans.net/3/21/2007/</article_url>
	<abstract_html>http://www.astrophys-space-sci-trans.net/3/21/2007/astra-3-21-2007.html</abstract_html>
	<fulltext_pdf>http://www.astrophys-space-sci-trans.net/3/21/2007/astra-3-21-2007.pdf</fulltext_pdf>
	<start_page>21</start_page>
	<end_page>27</end_page>
	<publication_date>2007-09-19</publication_date>
	<article_title content_type="html">Anisotropic unstable ion distribution functions downstream of the solar wind termination shock</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>H.-J. Fahr</name>
			<email>hfahr@astro.uni-bonn.de</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>M. Siewert</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Argelander Institute for Astronomy, University of Bonn, Auf dem Hügel 71, 53121 Bonn, Germany</affiliation>
	</affiliations>
	<abstract content_type="html">In this paper we demonstrate that solar wind ions,
passing over the quasiperpendicular portion of the solar wind MHD termination
shock, unavoidably develop strongly pronounced pitchangle anisotropies. In
order to prove that, we solve the Boltzmann-Vlasov equation for the ions,
kinetically describing the ion passage over the MHD structure of the shock.
With the solution of the anisotropic downstream ion distribution function we
may also calculate higher order velocity moments of this distribution
enabling us to calculate anisotropic downstream ion pressures. From these
latter results we derive the conclusion that in most likely cases the
downstream ion distribution will be mirror-mode unstable and with its free
thermal energy will effectively drive magnetosonic turbulences. We estimate
the energy that is pumped into this turbulence until marginal stability is
achieved. In this newly established intermediate quasi-equilibrium
state, as we can show, one can find 35 to 50 percent of the original energy
sitting in the thermal mode perpendicular to the magnetic field in the form of
magnetosonic turbulences, perhaps already identified by Voyager-1 as
downstream trains of magnetic holes and humps.
We discuss several consequences of this new
quasi-equilibrium MHD plasma state downsstream of the shock.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Baumjohann,~W. and Treumann,~R A.: Basic space plasma physics, London: Imperial College Press, 1996. </reference>
		<reference numeration="2" content_type="text"> Burlaga, L F., Ness, N F., and Acuna, M H.: Magnetic Fields in the Heliosheath: Voyager 1 Observations, \apj, 642, 584&amp;ndash;592, 2006a. </reference>
		<reference numeration="3" content_type="text"> Burlaga, L F., Ness, N F., and Acuna, M H.: Trains of magnetic holes and magnetic humps in the heliosheath, \grl, 33, L21 106, \doi10.1029/2006GL027276, 2006b. </reference>
		<reference numeration="4" content_type="text"> Chalov, S V., Fahr, H.-J., and Izmodeov, V.: Spectra of energized pick-up ions upstream of the two-dimensional heliospheric termination shock. II. Acceleration by Alfvenic and by large-scale solar wind turbulences, \aa, 320, 659&amp;ndash;671, 1997. </reference>
		<reference numeration="5" content_type="text"> Chalov, S V., Fahr, H.-J., and Izmodeov, V.: Evolution of pick-up ion spectra in the inner heliosheath and their diagnostics by energetic neutral atom fluxes, \jgr, 108(6), 1266&amp;ndash;1274, 2003. </reference>
		<reference numeration="6" content_type="text"> Chashei, I V. and Fahr, H.-J.: Ion relaxation processes in the heliospheric interface: how perturbed are ion distribution functions?, Adv. Sp. Res., 35, 2078&amp;ndash;2083, 2005. </reference>
		<reference numeration="7" content_type="text"> Chashei, I V., Fahr, H.-J., and Lay, G.: Non-Equilibrium Distribution Functions in the Heliospheric Interface and Their Relaxation by Local Wave Particle Interactions, Solar Physics, 226, 163&amp;ndash;185, 2005. </reference>
		<reference numeration="8" content_type="text"> Diver, D A.: A Plasma Formulary for Physics, Technology and Astrophysics, Hoboken, New Jersey: John Wiley, 2001. </reference>
		<reference numeration="9" content_type="text"> Drury, L. O C.: An introduction to the theory of diffusive acceleration of energetic particles in tenuous plasmas, Rep. Prog. Phys, 46, 973&amp;ndash;1016, 1983. </reference>
		<reference numeration="10" content_type="text"> Erkaev, N V., Vogl, D F., and Biernat, H K.: Solution for jump conditions at fast shocks in an anisotropic plasma, J. Plasma Physics, 64, 561&amp;ndash;578, 2000. </reference>
		<reference numeration="11" content_type="text"> Fahr, H.-J. and Lay, G.: Remote diagnostic of the heliospheric termination shock using neutralized post shock pick-up ions as messengers, A&amp;A, 356, 327&amp;ndash;334, 2000. </reference>
		<reference numeration="12" content_type="text"> Fahr, H.-J. and Siewert, M.: Kinetic study of the ion passage over the solar wind termination shock, A&amp;A, 458, 13&amp;ndash;20, \doi10.1051/0004-6361:20065540, 2006. </reference>
		<reference numeration="13" content_type="text"> Fisk, L A.: The acceleration of energetic particles in the interplanetary medium by transit-time damping, \jgr, 81, 4633, 1976. </reference>
		<reference numeration="14" content_type="text"> Fisk, L A. and Gloeckler, G.: The common spectrum for accelerated ions in the quiet-time solar wind, \apj, 640, L79&amp;ndash;L82, 2006. </reference>
		<reference numeration="15" content_type="text"> Fisk, L A. and Gloeckler, G.: Thermodynamic constraints on stochastic acceleration in compressional turbulence, PNAS, 104, 5749&amp;ndash;5754, \doi10.1073/pnas.0700881104, 2007. </reference>
		<reference numeration="16" content_type="text"> Gombosi, T I.: Physics of the space Environment, New York: Cambridge Univ. Press, 1998. </reference>
		<reference numeration="17" content_type="text"> Hudson, P D.: Discontinuities in an anisotropic plasma and their identification in the solar wind, \planss, 18, 1611&amp;ndash;1622, 1970. </reference>
		<reference numeration="18" content_type="text"> Kiraly, P.: The way out of the bubble: Implications of recent Voyager-1 data, in: Proc. 29th Intern. Cosmic Ray Conf., 1, 339&amp;ndash;342, 2005. </reference>
		<reference numeration="19" content_type="text"> Krasnoselskikh, V V., Lemberge, B., Savoni, P., and Lobzin,~V V.: Nonstationarity of strong collisionless quasiperpendicular shocks: Theory and full particle numerical simulations, Phys. Plasmas, 9, 1192&amp;ndash;1209, 2002. </reference>
		<reference numeration="20" content_type="text"> Lee, L C., Wu, C S., and Hu, X W.: Increase of ion kinetic temperature across a collisionless shock: I. A new mechanism, \grl, 13, 209&amp;ndash;213, 1986. </reference>
		<reference numeration="21" content_type="text"> Lembege, B., Giacalone, J., Scholer, M., Hada,~T., Hoshino,~M., Krasnoselskikh,~V., Kucharek,~H., Savoini,~P., and Terasawa,~T.: Selected problems of collisionless shock physics, ßr, 110, 161&amp;ndash;226, 2004. </reference>
		<reference numeration="22" content_type="text"> Liu, Y., Richardson, J D., Belcher, J W., and Kasper, J C.: Temperature anisotropy in a shocked plasma: Mirror-mode instabilities in the heliosheath, \apj, 659, L65&amp;ndash;L68, 2007. </reference>
		<reference numeration="23" content_type="text"> Lobzin, V V., Krasnoselskikh, V V., Bosquel, J.-M., Princon,~J L., Schwartz,~S J., and Dunlop,~M.: Nonstationarity and reformation of high-Mach-number quasiperpendicular shocks: Cluster observations, \grl, 34, L05 107&amp;ndash;L05 113, 2007. </reference>
		<reference numeration="24" content_type="text"> McKenzie, J F. and Westphal, K O.: Transmission of Alfven waves through the Earth&apos;s bow shock, Plan. Sp. Sc., 17, 1029&amp;ndash;1037, 1969. </reference>
		<reference numeration="25" content_type="text"> Quest, K B.: Simulations of High Mach Number Perpendicular Shock With Resistive Electrons, \jgr, 91, 8805&amp;ndash;8815, 1986. </reference>
		<reference numeration="26" content_type="text"> Scherer, K., Fichtner, H., and Fahr, H.-J.: The acceleration time of anomalous cosmic rays &amp;ndash; Observational constraints from Pioneer 10 data, \jgr, 103, 2105&amp;ndash;2113, 1998. </reference>
		<reference numeration="27" content_type="text"> Scholer, M.: Kinetic structure of the heliospheric termination shock and implications for pickup ion injection, in: Physics of the outer heliosphere: 3rd Int. IGPP Conf., CP719 of AIP Conf. Proceedings, 311&amp;ndash;316, 2004. </reference>
		<reference numeration="28" content_type="text"> Scholer, M. and Matsukiyo, S.: Nonstationarity of quasi-perpendicular shocks: a comparision of full particle simulations with different ion to electron mass ratio, Ann. Geophys., 22, 2345&amp;ndash;2351, 2004.\vadjust </reference>
		<reference numeration="29" content_type="text"> Scholer, M., Shinohara, I., and Matsukiyo, S.: Quasi-perpendicular shocks: Length scale of the cross-shock potential, shock reformation, and implication for shock surfing, \jgr, 108, 1014&amp;ndash;1022, 2003. </reference>
		<reference numeration="30" content_type="text"> Schwadron, N A., Fisk, L A., and Gloeckler, G.: Statistical acceleration of interstellar pick-up ions in co-rotating interaction regions, \grl, 23, 2871&amp;ndash;2875, 1996. </reference>
		<reference numeration="31" content_type="text"> Siewert, M. and Fahr, H.-J.: Analytic distribution functions for an ion plasma crossing an MHD shock, A&amp;A, 463, 799&amp;ndash;805, \doi10.1051/0004-6361:20066233, 2007a. </reference>
		<reference numeration="32" content_type="text"> Siewert, M. and Fahr, H.-J.: Full Boltzmann-kinetical treatment of an ion plasma crossing an MHD shock: parallel and non-parallel cases, A&amp;A, 471, 7&amp;ndash;15, \doi10.1051/0004-6361:20077413, 2007b. </reference>
		<reference numeration="33" content_type="text"> Toptygin, I N.: Cosmic rays in interplanetary magnetic fields, Norwell/Mass.: D. Reidel Publ., 1983. </reference>
		<reference numeration="34" content_type="text"> Treumann, R A. and Baumjohann, W.: Advanced space plasma physics, London: Imp. College Press, 1997. </reference>
		<reference numeration="35" content_type="text"> Zank, G P., Ao, X., Axford, W I., Florinski, V., Li, G., and le~Roux,~J A.: Structure and properties of the termination shock, in: Physics of the outer heliosphere: 3rd Int. IGPP Conf., CP719 of AIP Conf. Proceedings, 329&amp;ndash;341, 2004. </reference>
	</references>
</article>
