Abstract
A scenario is proposed to explain the preferential heating of minor ions and differential-streaming velocity between minor ions and protons observed in the solar corona and in the solar wind. It is demonstrated by test-particle simulations that minor ions can be nearly fully picked up by intrinsic Alfvén-cyclotron waves observed in the solar wind based on the observed wave energy density. Both high-frequency ion-cyclotron waves and low-frequency Alfvén waves play crucial roles in the pickup process. A minor ion can first gain a high magnetic moment through the resonant wave–particle interaction with ion-cyclotron waves, and then this ion with a large magnetic moment can be trapped by magnetic mirror-like field structures in the presence of the low-frequency Alfvén waves. As a result, the ion is picked up by these Alfvén-cyclotron waves. However, minor ions can only be partially picked up in the corona because of the low wave energy density and low plasma β. During the pickup process, minor ions are stochastically heated and accelerated by Alfvén-cyclotron waves so that they are hotter and flow faster than protons. The compound effect of Alfvén waves and ion-cyclotron waves is important in the heating and acceleration of minor ions. The kinetic properties of minor ions from simulation results are generally consistent with in-situ and remote features observed in the solar wind and solar corona.
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References
Araneda, J.A., Marsch, E., Adolfo, F.: 2008, Proton core heating and beam formation via parametrically unstable Alfvén-cyclotron waves. Phys. Rev. Lett. 100, 125003. 10.1103/PhysRevLett.100.125003 .
Axford, W.I., McKenzie, J.F.: 1992, The origin of high-speed solar wind streams. In: Marsch, E., Schwenn, R. (eds.) Solar Wind Seven, Pergamon, New York, 1 – 5.
Bavassano, B., Pietropaolo, E., Bruno, R.: 2001, Radial evolution of outward and inward Alfvénic fluctuations in the solar wind: a comparison between equatorial and polar observations by Ulysses. J. Geophys. Res. 106(A6), 10659 – 10668. 10.1029/2000JA000453 .
Belcher, J.W., Davis, L.: 1971, Large-amplitude Alfvén waves in the interplanetary medium, 2. J. Geophys. Res. 76(16), 3534 – 3563. 10.1029/JA076i016p03534 .
Bogdan, T.J., Lee, M.A., Schneider, P.: 1991, Coupled quasi-linear wave damping and stochastic acceleration of pickup ions in the solar wind. J. Geophys. Res. 96(A1), 161 – 178. 10.1029/90JA02096 .
Bourouaine, S., Marsch, E., Vocks, C.: 2008, On the efficiency of nonresonant ion heating by coronal Alfvén waves. Astrophys. J. Lett. 684, L119 – L122. 10.1086/592243 .
Bourouaine, S., Marsch, E., Neubauer, F.M.: 2011a, Temperature anisotropy and differential streaming of solar wind ions. Correlations with transverse fluctuations. Astron. Astrophys. 536, A39. 10.1051/0004-6361/201117866 .
Bourouaine, S., Marsch, E., Neubauer, F.M.: 2011b, On the relative speed and temperature ratio of solar wind alpha particles and protons: collisions versus wave effects. Astrophys. J. Lett. 728, L3. 10.1088/2041-8205/728/1/L3 .
Bourouaine, S., Alexandrova, O., Marsch, E., Maksimovic, M.: 2012, On spectral breaks in the power spectra of magnetic fluctuations in fast solar wind between 0.3 and 0.9 AU. Astrophys. J. 749, 102. 10.1088/0004-637X/749/2/102 .
Chandran, B.D., Li, B., Rogers, B.N., Quataert, E., Germaschewski, K.: 2010, Perpendicular ion heating by low-frequency Alfvén-wave turbulence in the solar wind. Astrophys. J. 720, 503 – 515. 10.1088/0004-637x/720/1/503 .
Chandran, B.D.G., Verscharen, D., Quataert, E., Kasper, J.C., Isenberg, P.A., Bourouaine, S.: 2013, Stochastic heating, differential flow, and the alpha to proton temperature ratio in the solar wind. Astrophys. J. 776, 45. 10.1088/0004-637X/776/1/45 .
Chen, L., Lin, Z., White, R.: 2001, On resonant heating below the cyclotron frequency. Phys. Plasmas 8(11), 4713 – 4716. 10.1063/1.1406939 .
Cranmer, S.R.: 2001, Ion cyclotron diffusion of velocity distributions in the extended solar corona. J. Geophys. Res. 106(A11), 24937 – 24954. 10.1029/2001JA000012 .
Cranmer, S.R.: 2009, Coronal holes. Living Rev. Solar Phys. 6, 3. 10.12942/lrsp-2009-3 .
Cranmer, S.R., Field, G.B., Kohl, J.L.: 1999, Spectroscopic constraints on models of ion cyclotron resonance heating in the polar solar corona and high-speed solar wind. Astrophys. J. 518, 937 – 947. 10.1086/307330 .
Cranmer, S.R., Kohl, J.L., Noci, G., Antonucci, E., Tondello, G., Huber, M.C.E., et al.: 1999, An empirical model of a polar corona hole at solar minimum. Astrophys. J. 511(1), 481 – 501. 10.1086/306675 .
De Pontieu, B., McIntosh, S.W., Carlsson, M., Hansteen, V.H., Tarbell, T.D., Schrijver, C.J., et al.: 2007, Chromospheric Alfvénic waves strong enough to power the solar wind. Science 318(5856), 1574 – 1577. 10.1126/Science.1151747 .
Dong, C.F.: 2014, Minor ion heating in spectra of linearly and circularly polarized Alfvén waves: thermal and non-thermal motions associated with perpendicular heating. Phys. Plasmas 21, 022302. 10.1063/1.4863833 .
Dusenbery, P.B., Hollweg, J.V.: 1981, Ion-cyclotron heating and acceleration of solar wind minor ions. J. Geophys. Res. 86(A1), 153 – 164. 10.1029/JA086iA01p00153 .
Gary, S.P., Goldstein, B.E., Neugebauer, M.: 2002, Signatures of wave–ion interactions in the solar wind: Ulysses observations. J. Geophys. Res. 107, SSH 4-1. 10.1029/2001JA000269 .
Gary, S.P., Smith, C.W., Skoug, R.M.: 2005, Signatures of Alfvén-cyclotron wave–ion scattering: Advanced Composition Explorer (ACE) solar wind observations. J. Geophys. Res. 110, A07108. 10.1029/2004JA010569 .
Gary, S.P., Yin, L., Winske, D., Ofman, L.: 2001, Electromagnetic minor ion cyclotron instability: anisotropy constraint in the solar corona. J. Geophys. Res. 106, 10715 – 10722. 10.1029/2000JA000406 .
Guo, Z.H., Crabtree, C., Chen, L.: 2008, Theory of charged particle heating by low frequency Alfvén waves. Phys. Plasmas 15, 032311. 10.1063/1.2899326 .
Hollweg, J.V., Isenberg, P.A.: 2002, Generation of the fast solar wind: a review with emphasis on the resonant cyclotron interaction. J. Geophys. Res. 107(A7), 1147. 10.1029/2001JA000270 .
Hollweg, J.V., Turner, J.M.: 1978, Acceleration of solar wind He++3: effects of resonant and nonresonant interactions with transverse waves. J. Geophys. Res. 83, 97 – 113. 10.1029/JA083iA01p00097 .
Hu, Y.Q., Habbal, S.R.: 1999, Resonant acceleration and heating of solar wind ions by dispersive ion cyclotron waves. J. Geophys. Res. 104(A8), 17045 – 17056. 10.1029/1999JA900193 .
Isenberg, P.A., Hollweg, J.V.: 1983, On the preferential acceleration and heating of solar wind heavy ions. J. Geophys. Res. 88(A5), 3923 – 3935. 10.1029/JA088iA05p03923 .
Isenberg, P.A., Vasquez, B.J.: 2007, Preferential perpendicular heating of coronal hole minor ions by the Fermi mechanism. Astrophys. J. 668, 546 – 556. 10.1086/521220 .
Isenberg, P.A., Vasquez, B.J.: 2011, A kinetic model of solar wind generation by oblique ion-cyclotron waves. Astrophys. J. 731, 88. 10.1088/0004-637X/731/2/88 .
Kasper, J.C., Lazarus, A.J., Gary, S.P.: 2008, Hot solar-wind helium: direct evidence for local heating by Alfvén-cyclotron dissipation. Phys. Rev. Lett. 101, 261103. 10.1103/PhysRevLett.101.261103 .
Kasper, J.C., Stevens, M.L., Lazarus, A.J., Steinberg, J.T., Ogilvie, K.W.: 2007, Solar wind helium abundance as a function of speed and heliographic latitude: variation through a solar cycle. Astrophys. J. 660, 901 – 910. 10.1086/510842 .
Kasper, J.C., Maruca, B.A., Stevens, M.L., Zaslavsky, A.: 2013, Sensitive test for ion-cyclotron resonant heating in the solar wind. Phys. Rev. Lett. 110, 091102. 10.1103/PhysRevLett.110.091102 .
Kohl, J.L., Noci, G., Antonucci, E., Tondello, G., Huber, M.C.E., Gardner, L.D., et al.: 1997, First results from the SOHO Ultraviolet Coronagraph Spectrometer. Solar Phys. 175, 613 – 644. 10.1023/A:1004903206467 .
Kohl, J.L., Noci, G., Antonucci, E., Tondello, G., Huber, M.C.E., Cranmer, S.R., et al.: 1998, UVCS/SOHO empirical determinations of anisotropic velocity distributions in the solar corona. Astrophys. J. Lett. 501(1), L127 – Ll31. 10.1086/311434 .
Kohl, J.L., Noci, G., Cranmer, S.R., Raymond, J.C.: 2006, Ultraviolet spectroscopy of the extended solar corona. Astron. Astrophys. Rev. 13, 31 – 157. 10.1007/s00159-005-0026-7 .
Lee, L.C.: 2001, A new mechanism of coronal heating. Space Sci. Rev. 95, 95 – 106. 10.1023/A:1005232332548 .
Lee, L.C., Wu, B.H.: 2000, Heating and acceleration of protons and minor ions by fast shocks in the solar corona. Astrophys. J. 535, 1014 – 1026. 10.1086/308879 .
Li, X., Lu, Q.M., Li, B.: 2007, Ion pickup by finite amplitude parallel propagating Alfvén waves. Astrophys. J. Lett. 661, L105 – L108. 10.1086/518420 .
Li, X., Habbal, S.R., Kohl, J.L., Noci, G.: 1998, The effect of temperature anisotropy on observations of Doppler dimming and pumping in the inner corona. Astrophys. J. Lett. 501(1), L133 – L137. 10.1086/311428 .
Lin, Y., Lee, L.C.: 1991, Chaos and ion heating in a slow shock. Geophys. Res. Lett. 18(8), 1615 – 1618. 10.1029/91GL01611 .
Liu, H.F., Wang, S.Q., Li, K.H.: 2013, Heating of thermal non-equilibrium ions by Alfvén wave via nonresonant interaction. Phys. Plasmas 20(10), 104504. 10.1063/1.4825150 .
Lv, X., Li, Y., Wang, S.: 2007, Stochastic heating of ions by linear polarized Alfvén waves. Chin. Phys. Lett. 24(7), 2010 – 2013. 10.1088/0256-307X/24/7/062 .
McIntosh, S.W., De Pontieu, B., Carlsson, M., Hansteen, V., Boerner, P., Goossens, M.: 2011, Alfvénic waves with sufficient energy to power the quiet solar corona and fast solar wind. Nature 475, 477 – 480. 10.1038/nature10235 .
Marsch, E.: 2006, Kinetic physics of the solar corona and solar wind. Living Rev. Solar Phys. 3, 1. 10.12942/lrsp-2006-1 .
Marsch, E., Goertz, C.K., Richter, K.: 1982, Wave heating and acceleration of solar wind ions by cyclotron resonance. J. Geophys. Res. 87, 5030 – 5044. 10.1029/JA087iA07p05030 .
Marsch, E., Tu, C.Y.: 2001, Heating and acceleration of coronal ions interacting with plasma waves through cyclotron and Landau resonance. J. Geophys. Res. 106(A1), 227 – 238. 10.1029/2000JA000042 .
Marsch, E., Mühlhäuser, K.H., Rosenbauer, H., Schwenn, R., Neubauer, F.M.: 1982a, Solar wind helium ions: observations of the Helios solar probes between 0.3 and 1 AU. J. Geophys. Res. 87, 35 – 51. 10.1029/JA087iA01p00035 .
Marsch, E., Mühlhäuser, K.H., Schwenn, R., Rosenbauer, H., Pilipp, W., Neubauer, F.M.: 1982b, Solar wind protons: three-dimensional velocity distributions and derived plasma parameters measured between 0.3 and 1 AU. J. Geophys. Res. 87, 52 – 72. 10.1029/JA087iA01p00052 .
Nariyuki, Y., Hada, T., Tsubouchi, K.: 2010, Heating and acceleration of ions in nonresonant Alfvénic turbulence. Phys. Plasmas 17, 072301. 10.1063/1.3449592 .
Neugebauer, M., Goldstein, B.E., Winterhalter, D., Smith, E.J., MacDowall, R.J., Gary, S.P.: 2001, Ion distributions in large magnetic holes in the fast solar wind. J. Geophys. Res. 106, 5635 – 5648. 10.1029/2000JA000331 .
Ofman, L.: 2010, Wave modeling of the solar wind. Living Rev. Solar Phys. 7, 4. 10.12942/lrsp-2010-4 .
Reisenfeld, D.B., Gary, S.P., Gosling, J.T., Steinberg, J.T., McComas, D.J., Goldstein, B.E., Neugebauer, M.: 2001, Helium energetics in the high-latitude solar wind: Ulysses observations. J. Geophys. Res. 106, 5693 – 5708. 10.1029/2000JA000317 .
Smith, C.W., Vasquez, B.J., Hamilton, K.: 2006, Interplanetary magnetic fluctuation anisotropy in the inertial range. J. Geophys. Res. 111, A09111. 10.1029/2006ja011651 .
Stoer, J., Bulirsch, R.: 1980, Introduction to Numerical Analysis, Springer, New York.
Tomczyk, S., McIntosh, S.W., Keil, S.L., Judge, P.G., Schad, T., Seeley, D.H., Edmondson, J.: 2007, Alfvén waves in the solar corona. Science 317, 1192 – 1196. 10.1126/Science.1143304 .
Tu, C.Y., Marsch, E.: 1995, MHD structures, waves and turbulence in the solar wind: observations and theories. Space Sci. Rev. 73, 1 – 210. 10.1007/BF00748891 .
Tu, C.Y., Marsch, E.: 2001, On cyclotron wave heating and acceleration of solar wind ions in the outer corona. J. Geophys. Res. 106, 8233 – 8252. 10.1029/2000JA000024 .
Tu, C.Y., Pu, Z.Y., Wei, F.S.: 1984, The power spectrum of interplanetary Alfvénic fluctuations derivation of the governing equation and its solution. J. Geophys. Res. 89, 9695 – 9702. 10.1029/JA089iA11p09695 .
Verscharen, D., Marsch, E.: 2011, Apparent temperature anisotropies due to wave activity in the solar wind. Ann. Geophys. 29, 909 – 917. 10.5194/angeo-29-909-2011 .
Vocks, C., Marsch, E.: 2002, Kinetic results for ions in the solar corona with wave–particle interactions and Coulomb collisions. Astrophys. J. 568, 1030 – 1042. 10.1086/338885 .
Voitenko, Y., Goossens, M.: 2004, Cross-field heating of coronal ions by low-frequency kinetic Alfvén waves. Astrophys. J. 605, L149 – L152. 10.1086/420927 .
Voitenko, Y., Goossens, M.: 2006, Energization of plasma species by intermittent kinetic Alfvén waves. Space Sci. Rev. 122, 255 – 270. 10.1007/s11214-006-8212-0 .
von Steiger, R., Zurbuchen, T.H.: 2006, Kinetic properties of minor solar wind ions from Ulysses-SWICS. Geophys. Res. Lett. 33, L09103. 10.1029/2005GL024998 .
von Steiger, R., Geiss, J., Gloeckler, G., Galvin, A.B.: 1995, Kinetic properties of heavy ions in the solar wind from SWICS/Ulysses. Space Sci. Rev. 72, 71 – 76. 10.1007/BF00768756 .
Wang, B., Wang, C.B.: 2009, Heating rate of ions via nonresonant interaction with turbulent Alfvén waves with ionization and recombination. Phys. Plasmas 16, 082902. 10.1063/1.3204090 .
Wang, C.B., Wu, C.S., Yoon, P.H.: 2006, Heating of ions by Alfvén waves via nonresonant interactions. Phys. Rev. Lett. 96, 125001. 10.1103/PhysRevLett.96.125001 .
Wang, C.B., Wu, C.S.: 2009, Pseudoheating of protons in the presence of Alfvénic turbulence. Phys. Plasmas 16, 020703. 10.1063/1.3068472 .
Wang, B., Wang, C.B., Yoon, P.H., Wu, C.S.: 2011, Stochastic heating and acceleration of minor ions by Alfvén waves. Geophys. Res. Lett. 38, L10103. 10.1029/2011GL047729 .
Wang, X., He, J.S., Tu, C.Y., Marsch, E., Zhang, L., Chao, J.K.: 2012, Large-amplitude Alfvén wave in interplanetary space: the Wind spacecraft observations. Astrophys. J. 746, 147. 10.1088/0004-637X/746/2/147 .
White, R., Chen, L., Lin, Z.: 2002, Resonant plasma heating below the cyclotron frequency. Phys. Plasmas 9, 1890 – 1897. 10.1063/1.1445180 .
Winske, D., Wu, C.S., Li, Y.Y., Mou, Z.Z., Guo, S.Y.: 1985, Coupling of newborn ions to the solar wind by electromagnetic instabilities and their interaction with the bow shock. J. Geophys. Res. 90, 2713 – 2726. 10.1029/JA090iA03p02713 .
Wu, C.S., Davidson, R.C.: 1972, Electromagnetic instabilities produced by neutral-particle ionization in interplanetary space. J. Geophys. Res. 77(28), 5399. 10.1029/JA077i028p05399 .
Wu, D.J., Yang, L.: 2007, Nonlinear interaction of minor heavy ions with kinetic Alfven waves and their anisotropic energization in coronal holes. Astrophys. J. 659, 1693 – 1701. 10.1086/512117 .
Wu, C.S., Yoon, P.H.: 2007, Proton heating via nonresonant scattering off intrinsic Alfvénic turbulence. Phys. Rev. Lett. 99, 075001. 10.1103/PhysRevLett.99.075001 .
Zank, G.P.: 1999, Interaction of the solar wind with the local interstellar medium: a theoretical perspective. Space Sci. Rev. 89, 413 – 688. 10.1023/A:1005155601277 .
Acknowledgements
The research at USTC was supported in part by the National Nature Science Foundation under grants 41174123, 40931053 and 41121003, and in part by the Chinese Academy of Sciences under grants KZCX2-YW-QN512 and KZZD-EW-01. The research at Academia Sinica was supported by the National Science Council (NSC-101-2628-M-001-007-MY3) in Taiwan. CBW acknowledges the hospitable invitation of J.H. Shue for his visit to NCU in 2012.
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Wang, C.B., Wang, B. & Lee, L.C. Compound Effect of Alfvén Waves and Ion-Cyclotron Waves on Heating/Acceleration of Minor Ions via the Pickup Process. Sol Phys 289, 3895–3916 (2014). https://doi.org/10.1007/s11207-014-0550-6
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DOI: https://doi.org/10.1007/s11207-014-0550-6