Self-consistent Coronal Heating and Solar Wind Acceleration from Anisotropic Magnetohydrodynamic Turbulence

We present a series of models for the plasma properties along open magnetic flux tubes rooted in solar coronal holes, streamers, and active regions. These models represent the first self-consistent solutions that combine (1) chromospheric heating driven by an empirically guided acoustic wave spectrum; (2) coronal heating from Alfvén waves that have been partially reflected, then damped by anisotropic turbulent cascade; and (3) solar wind acceleration from gradients of gas pressure, acoustic wave pressure, and Alfvén wave pressure. The only input parameters are the photospheric lower boundary conditions for the waves and the radial dependence of the background magnetic field along the flux tube. We have not included multifluid or collisionless effects (e.g., preferential ion heating), which are not yet fully understood. For a single choice for the photospheric wave properties, our models produce a realistic range of slow and fast solar wind conditions by varying only the coronal magnetic field. Specifically, a two-dimensional model of coronal holes and streamers at solar minimum reproduces the latitudinal bifurcation of slow and fast streams seen by Ulysses. The radial gradient of the Alfvén speed affects where the waves are reflected and damped, and thus whether energy is deposited below or above the Parker critical point. As predicted by earlier studies, a larger coronal "expansion factor" gives rise to a slower and denser wind, higher temperature at the coronal base, less intense Alfvén waves at 1 AU, and correlative trends for commonly measured ratios of ion charge states and FIP-sensitive abundances that are in general agreement with observations. These models offer supporting evidence for the idea that coronal heating and solar wind acceleration (in open magnetic flux tubes) can occur as a result of wave dissipation and turbulent cascade.

[1]  W. Rammacher,et al.  Acoustic Heating of the Solar Chromosphere: Present Indeed and Locally Dominant , 2007 .

[2]  Jet Propulsion Laboratory,et al.  Coronal Heating, Weak MHD Turbulence, and Scaling Laws , 2007, astro-ph/0701872.

[3]  T. Suzuki Structured Red Giant Winds with Magnetized Hot Bubbles and the Corona/Cool Wind Dividing Line , 2006, astro-ph/0608195.

[4]  N. Sheeley,et al.  Sources of the Solar Wind at Ulysses during 1990-2006 , 2006 .

[5]  Astronomy,et al.  Theoretical mass loss rates of cool main-sequence stars , 2006, astro-ph/0611430.

[6]  Jiansen He,et al.  Magnetic structure of the solar transition region as observed in various ultraviolet lines emitted at different temperatures , 2006 .

[7]  M. van Noort,et al.  High-resolution observations of fast events in the solar chromosphere , 2006 .

[8]  K. Puschmann,et al.  Dynamics of Magnetic Bright Points in an Active Region , 2006 .

[9]  A. Jiménez,et al.  An Estimation of the Acoustic Cutoff Frequency of the Sun Based on the Properties of the Low-Degree Pseudomodes , 2006 .

[10]  Mats Carlsson,et al.  Determination of the Acoustic Wave Flux in the Lower Solar Chromosphere , 2006 .

[11]  M. Goldstein,et al.  A three‐dimensional MHD solar wind model with pickup protons , 2006 .

[12]  C. Keller,et al.  Solar Carbon Monoxide, Thermal Profiling, and the Abundances of C, O, and Their Isotopes , 2006, astro-ph/0606153.

[13]  S. Galtier Wave turbulence in incompressible Hall magnetohydrodynamics , 2006, Journal of Plasma Physics.

[14]  I. Batista,et al.  Unusual early morning development of the equatorial anomaly in the Brazilian sector during the Halloween magnetic storm , 2006 .

[15]  M. Wheatland,et al.  Nonlinear Force-Free Modeling of Coronal Magnetic Fields Part I: A Quantitative Comparison of Methods , 2006 .

[16]  P. Dmitruk,et al.  A two-component phenomenology for homogeneous magnetohydrodynamic turbulence , 2006 .

[17]  V. Yurchyshyn,et al.  The Rate of Emergence of Magnetic Dipoles in Coronal Holes and Adjacent Quiet-Sun Regions , 2006 .

[18]  W. Matthaeus,et al.  Structure of the Turbulent Interplanetary Magnetic Field , 2006 .

[19]  M. Rast,et al.  Expansion of the Supergranular Magnetic Network through the Solar Atmosphere , 2006, Proceedings of the International Astronomical Union.

[20]  S. Cranmer,et al.  Ultraviolet spectroscopy of the extended solar corona , 2006 .

[21]  D. Falceta-Gonçalves,et al.  On the magnetic structure and wind parameter profiles of Alfvén wave driven winds in late‐type supergiant stars , 2006, astro-ph/0602305.

[22]  T. Suzuki Forecasting Solar Wind Speeds , 2006, astro-ph/0602062.

[23]  James A. Klimchuk,et al.  On Solving the Coronal Heating Problem , 2006 .

[24]  Markus J. Aschwanden,et al.  Physics of the Solar Corona: An Introduction with Problems and Solutions , 2005 .

[25]  A. Pevtsov,et al.  Large-scale Structures and their Role in Solar Activity , 2005 .

[26]  M. Velli,et al.  Propagation and dissipation of Alfvén waves in stellar atmospheres permeated by isothermal winds , 2005 .

[27]  David R. Chesney,et al.  Space Weather Modeling Framework: A new tool for the space science community , 2005, Journal of Geophysical Research.

[28]  B. Chandran Weak compressible magnetohydrodynamic turbulence in the solar corona. , 2005, Physical review letters.

[29]  On the Validity of Acoustically Heated Chromosphere Models , 2005 .

[30]  W. Rammacher,et al.  Fast Method for Calculating Chromospheric Ca II and Mg II Radiative Losses , 2005 .

[31]  P. Bushby,et al.  Spatially intermittent fields in photospheric magnetoconvection , 2005 .

[32]  Å. M. Janse,et al.  Solar Wind from Coronal Funnels and Transition Region Lyα , 2005 .

[33]  S. Cranmer A Statistical Study of Threshold Rotation Rates for the Formation of Disks around Be Stars , 2005, astro-ph/0507718.

[34]  S. Inutsuka,et al.  Making the Corona and the Fast Solar Wind: A Self-consistent Simulation for the Low-Frequency Alfvén Waves from the Photosphere to 0.3 AU , 2005, astro-ph/0506639.

[35]  M. Carlsson,et al.  High-frequency acoustic waves are not sufficient to heat the solar chromosphere , 2005, Nature.

[36]  CONVECTIVE DYNAMOS AND THE MINIMUM X-RAY FLUX IN MAIN-SEQUENCE STARS , 2005, astro-ph/0506027.

[37]  J. Linker,et al.  The Effects of Differential Rotation on the Magnetic Structure of the Solar Corona: Magnetohydrodynamic Simulations , 2005 .

[38]  T. Berger,et al.  Solar magnetic elements at 0"1 resolution. II. Dynamical evolution , 2005 .

[39]  Is There a Chromospheric Footprint of the Solar Wind , 2005 .

[40]  R. Cameron,et al.  The structure of small-scale magnetic flux tubes , 2005 .

[41]  R. Esser,et al.  MODELING THE ENERGY BUDGET OF SOLAR WIND MINOR IONS: IMPLICATIONS FOR TEMPERATURES AND ABUNDANCES , 2005 .

[42]  A. Collier Cameron,et al.  Inferring Coronal Structure from X-Ray Light Curves and Doppler Shifts: A Chandra Study of AB Doradus , 2004, astro-ph/0411571.

[43]  S. Cranmer,et al.  On the Generation, Propagation, and Reflection of Alfvén Waves from the Solar Photosphere to the Distant Heliosphere , 2004, astro-ph/0410639.

[44]  P. Dmitruk,et al.  Test Particle Energization by Current Sheets and Nonuniform Fields in Magnetohydrodynamic Turbulence , 2004 .

[45]  Charles W. Smith,et al.  Dissipation of the Perpendicular Turbulent Cascade in the Solar Wind , 2004 .

[46]  Mats G. Lofdahl,et al.  Solar magnetic elements at 0".1 resolution. General appearance and magnetic structure , 2004 .

[47]  J. Giacalone,et al.  MAGNETIC FOOTPOINT DIFFUSION AT THE SUN AND ITS RELATION TO THE HELIOSPHERIC MAGNETIC FIELD , 2004 .

[48]  Craig E. Deforest,et al.  High-Frequency Waves Detected in the Solar Atmosphere , 2004 .

[49]  T. Ohmi,et al.  Solar Wind Properties from IPS Observations , 2004 .

[50]  J. Laming A Unified Picture of the First Ionization Potential and Inverse First Ionization Potential Effects , 2004 .

[51]  P. Liewer,et al.  Characteristics of active-region sources of solar wind near solar maximum , 2004 .

[52]  M. L. Goodman On the creation of the chromospheres of solar type stars , 2004 .

[53]  M. Zahniser,et al.  Measurement of formaldehyde, nitrogen dioxide, and sulfur dioxide at Whiteface Mountain using a dual tunable diode laser system , 2004 .

[54]  A. Vögler,et al.  Approximations for non-grey radiative transfer in numerical simulations of the solar photosphere , 2004 .

[55]  V. Carbone,et al.  Nanoflares and MHD turbulence in coronal loops: a hybrid shell model. , 2004, Physical review letters.

[56]  M. Goossens,et al.  Cross-Field Heating of Coronal Ions by Low-Frequency Kinetic Alfvén Waves , 2004 .

[57]  E. Endeve,et al.  Helmet Streamers Gone Unstable: Two-Fluid Magnetohydrodynamic Models of the Solar Corona , 2004 .

[58]  R. Esser,et al.  Stagnated Outflow of O+5 Ions in the Source Region of the Slow Solar Wind at Solar Minimum , 2004 .

[59]  T. Suzuki Coronal heating and acceleration of the high/low-speed solar wind by fast/slow MHD shock trains , 2003, astro-ph/0312573.

[60]  S. Suess,et al.  JD 7: The Sun and the Heliosphere as an Integrated System , 2004 .

[61]  P. Stee,et al.  Evolution of Massive Stars, Mass Loss and Winds , 2004 .

[62]  S. Owocki,et al.  STELLAR WIND MECHANISMS AND INSTABILITIES , 2004 .

[63]  D. Mccomas,et al.  Solar Wind Scaling Law , 2003 .

[64]  Scott W. McIntosh,et al.  Waves in the Magnetized Solar Atmosphere. II. Waves from Localized Sources in Magnetic Flux Concentrations , 2003 .

[65]  A. Ariste,et al.  Dynamo processes and activity cycles of the active stars AB Doradus, LQ Hydrae and HR 1099 , 2003 .

[66]  P. Dmitruk,et al.  Low-Frequency Waves and Turbulence in an Open Magnetic Region: Timescales and Heating Efficiency , 2003 .

[67]  P. Judge,et al.  On the Origin of the Basal Emission from Stellar Atmospheres: Analysis of Solar C II Lines , 2003 .

[68]  J. Raymond,et al.  The Effect of Proton Temperature Anisotropy on the Solar Minimum Corona and Wind , 2003, astro-ph/0310846.

[69]  M. Velli,et al.  A Three-dimensional Model of the Solar Wind Incorporating Solar Magnetogram Observations , 2003 .

[70]  Xing Li Transition region, coronal heating and the fast solar wind , 2003 .

[71]  E. Endeve,et al.  Two-dimensional Magnetohydrodynamic Models of the Solar Corona: Mass Loss from the Streamer Belt , 2003 .

[72]  E. Sedlmayr,et al.  On the gas temperature in the shocked circumstellar envelopes of pulsating stars III. Dynamical models for AGB star winds including time-dependent dust formation and non-LTE cooling , 2003 .

[73]  S. Cranmer,et al.  Alfvénic Turbulence in the Extended Solar Corona: Kinetic Effects and Proton Heating , 2003, astro-ph/0305134.

[74]  N. Sheeley,et al.  The Solar Wind and Its Magnetic Sources at Sunspot Maximum , 2003 .

[75]  A. Ruzmaikin,et al.  Photospheric Sources and Brightening of the Internetwork Chromosphere , 2003 .

[76]  L. Fisk Acceleration of the solar wind as a result of the reconnection of open magnetic flux with coronal loops , 2003 .

[77]  S. Landi,et al.  Kinetic simulations of the solar wind from the subsonic to the supersonic regime , 2003 .

[78]  P. Nisenson,et al.  Motions of Isolated G-Band Bright Points in the Solar Photosphere , 2002, astro-ph/0212306.

[79]  P. Young,et al.  CHIANTI—An Atomic Database for Emission Lines. VI. Proton Rates and Other Improvements , 2002, astro-ph/0209493.

[80]  M. Aschwanden,et al.  Coronal Loops Heated by Magnetohydrodynamic Turbulence. I. A Model of Isobaric Quiet-Sun Loops with Constant Cross Sections , 2002 .

[81]  F. Kneer,et al.  Evidence for short-period acoustic waves in the solar atmosphere , 2002 .

[82]  Edward J. Smith,et al.  Sources of the solar wind at solar activity maximum , 2002 .

[83]  S. Fineschi,et al.  Solar and Heliospheric Observatory Ultraviolet Coronagraph Spectrometer and Yohkoh Soft X-Ray Telescope Observations of the High-Temperature Corona above an Active Region Complex , 2002 .

[84]  M. Johnson,et al.  Waves in magnetic flux concentrations: The critical role of mode mixing and interference , 2002 .

[85]  P. Isenberg,et al.  Generation of the fast solar wind: A review with emphasis on the resonant cyclotron interaction , 2002 .

[86]  Ye Zhou,et al.  Turbulent Time Correlations and Generation of Acoustic Waves by Stellar or Solar Turbulent Convection , 2002 .

[87]  D. Biesecker,et al.  Empirical Densities, Kinetic Temperatures, and Outflow Velocities in the Equatorial Streamer Belt at Solar Minimum , 2002 .

[88]  Xing Li Heating in Coronal Funnels by Ion Cyclotron Waves , 2002 .

[89]  W. Rammacher,et al.  Acoustic and magnetic wave heating in stars - I. Theoretical chromospheric models and emerging radiative fluxes , 2002 .

[90]  Z. Musielak,et al.  Excitation of transverse magnetic tube waves in stellar convection zones. II. Wave energy spectra and fluxes , 2002 .

[91]  T. Zurbuchen,et al.  The solar wind composition throughout the solar cycle: A continuum of dynamic states , 2002 .

[92]  L. Milano,et al.  Coronal Heating Distribution Due to Low-Frequency, Wave-driven Turbulence , 2002, astro-ph/0204347.

[93]  M. Carlsson,et al.  Dynamic Hydrogen Ionization , 2002, astro-ph/0202313.

[94]  M. Guhathakurta,et al.  Erratum: “Semiempirical Two-dimensional Magnetohydrodynamic Model of the Solar Corona and Interplanetary Medium” (ApJ, 523, 812 [1999]) , 2002 .

[95]  E. Avrett,et al.  Energy Balance in the Solar Transition Region. IV. Hydrogen and Helium Mass Flows with Diffusion , 2001, astro-ph/0109416.

[96]  R. Edgar,et al.  Differential Flow Speeds of Ions of the Same Element: Effects on Solar Wind Ionization Fractions , 2001 .

[97]  S. Cranmer Ion cyclotron diffusion of velocity distributions in the extended , 2001 .

[98]  V. Carbone,et al.  Identifying intermittency events in the solar wind , 2001 .

[99]  J. Linker,et al.  An empirically‐driven global MHD model of the solar corona and inner heliosphere , 2001 .

[100]  Jeffrey R. Hall,et al.  Determination of three‐dimensional structure of coronal streamers and relationship to the solar magnetic field , 2001 .

[101]  Z. Musielak,et al.  Magnetic wave energy fluxes for late-type stars I. Longitudinal tube waves , 2001 .

[102]  A. Lazarian,et al.  Simulations of Magnetohydrodynamic Turbulence in a Strongly Magnetized Medium , 2001, astro-ph/0105235.

[103]  Thermal Relaxation of Very Small Solar Magnetic Structures in Intergranules: A Process That Produces Kilogauss Magnetic Field Strengths , 2001, astro-ph/0103415.

[104]  L. Milano,et al.  Wave-driven Turbulent Coronal Heating in Open Field Line Regions: Nonlinear Phenomenological Model , 2001 .

[105]  J. Geiss,et al.  Composition of quasi‐stationary solar wind flows from Ulysses/Solar Wind Ion Composition Spectrometer , 2000 .

[106]  N. Sheeley,et al.  The dynamical nature of coronal streamers , 2000 .

[107]  B. Filippov,et al.  On the origin of the prolate solar chromosphere , 2000 .

[108]  A. Ng,et al.  Random Scattering and Anisotropic Turbulence of Shear Alfvén Wave Packets , 2000 .

[109]  R. Rosner,et al.  On the Generation of Flux-Tube Waves in Stellar Convection Zones. III. Longitudinal Tube Wave-Energy Spectra and Fluxes for Late-Type Stars , 2000 .

[110]  W. Matthaeus,et al.  MHD-driven Kinetic Dissipation in the Solar Wind and Corona , 2000 .

[111]  W. Kalkofen,et al.  Excitation of Oscillations in the Magnetic Network on the Sun , 2000, The Astrophysical journal.

[112]  M. L. Goodman On the Mechanism of Chromospheric Network Heating and the Condition for Its Onset in the Sun and Other Solar-Type Stars , 2000 .

[113]  B. Roberts,et al.  Waves and Oscillations in the Corona – (Invited Review) , 2000 .

[114]  S. Cranmer Ion Cyclotron Wave Dissipation in the Solar Corona: The Summed Effect of More than 2000 Ion Species , 2000 .

[115]  Edgar,et al.  Reconciling Spectroscopic Electron Temperature Measurements in the Solar Corona with In Situ Charge State Observations , 2000, The Astrophysical journal.

[116]  R. Esser,et al.  A four‐fluid turbulence‐driven solar wind model for preferential acceleration and heating of heavy ions , 2000 .

[117]  J. Davila,et al.  Winds from Luminous Late-Type Stars. I. The Effects of Nonlinear Alfvén Waves , 2000 .

[118]  L. Milano,et al.  Recent theoretical results on coronal heating , 2000 .

[119]  Madhulika Guhathakurta,et al.  Semiempirical Two-dimensional MagnetoHydrodynamic Model of the Solar Corona and Interplanetary Medium , 1999 .

[120]  Charles W. Smith,et al.  Dissipation range dynamics: Kinetic Alfvn waves and the importance of , 1999 .

[121]  N. Schwadron,et al.  Elemental Fractionation in the Slow Solar Wind , 1999 .

[122]  W. Kalkofen,et al.  Does the Sun Have a Full-Time Chromosphere? , 1999 .

[123]  P. Dmitruk,et al.  Coronal Heating by Magnetohydrodynamic Turbulence Driven by Reflected Low-Frequency Waves , 1999 .

[124]  J. Hollweg,et al.  Heating and cooling of protons by turbulence-driven ion cyclotron waves in the fast solar wind , 1999 .

[125]  George B. Field,et al.  Spectroscopic Constraints on Models of Ion Cyclotron Resonance Heating in the Polar Solar Corona and High-Speed Solar Wind , 1998 .

[126]  J. Davila,et al.  Solar wind acceleration by large-amplitude nonlinear waves: Parametric study , 1998 .

[127]  C. Arge,et al.  Modelling of magnetic interactions in partially-ionized gas: application to the FIP effect , 1998 .

[128]  Vincenzo Carbone,et al.  A note on shell models for MHD turbulence , 1998, chao-dyn/9807032.

[129]  P. Mazzotta,et al.  Ionization Balance for Optically Thin Plasmas: Rate Coefficients for all Atoms and Ions of the Elements H to Ni and implication for the calculated X-ray spectrum , 1998, astro-ph/9806391.

[130]  Giampiero Naletto,et al.  UVCS/SOHO Empirical Determinations of Anisotropic Velocity Distributions in the Solar Corona , 1998 .

[131]  Alan M. Title,et al.  Measurements of Solar Magnetic Element Motion from High-Resolution Filtergrams , 1998, The Astrophysical Journal.

[132]  Mats G. Lofdahl,et al.  Dynamics of Magnetic Flux Elements in the Solar Photosphere , 1998, astro-ph/9802359.

[133]  P. Judge,et al.  On Chromospheric Heating Mechanisms of “Basal Flux” Stars , 1998 .

[134]  V. Hansteen,et al.  Understanding the Solar Wind , 1998 .

[135]  L. Kaper,et al.  Cyclical variability in stellar winds , 1998 .

[136]  R. Edgar,et al.  High Minor Ion Outflow Speeds in the Inner Corona and Observed Ion Charge States in Interplanetary Space , 1998 .

[137]  L. Milano,et al.  Solar Coronal Heating: AC versus DC , 1997 .

[138]  S. Bravo,et al.  Fast and Slow Wind from Solar Coronal Holes , 1997 .

[139]  Giampiero Naletto,et al.  First Results from the Soho Ultraviolet Coronagraph Spectrometer , 1997 .

[140]  P. Goldreich,et al.  Magnetohydrodynamic Turbulence Revisited , 1997 .

[141]  Y. Whang Attenuation of Magnetohydrodynamic Waves , 1997 .

[142]  Scott H. Hawley,et al.  Measurements of Flow Speeds in the Corona Between 2 and 30 R☉ , 1997 .

[143]  V. Hansteen,et al.  The Role of Helium in the Outer Solar Atmosphere , 1997 .

[144]  M. Carlsson,et al.  Formation of Solar Calcium H and K Bright Grains , 1997 .

[145]  Accurate Hydrogen Spectral Simulations with a Compact Model Atom , 1996, astro-ph/9610140.

[146]  Mark S. Giampapa,et al.  Cosmic Winds and the Heliosphere , 1997 .

[147]  R. Rosner,et al.  Propagation of three‐dimensional Alfvén waves in a stratified, thermally conducting solar wind , 1996 .

[148]  Andrew R. Jones,et al.  Dynamics of the Chromospheric Network: Mobility, Dispersal, and Diffusion Coefficients , 1996 .

[149]  S. Suess,et al.  Volumetric heating in coronal streamers , 1996 .

[150]  D. L. Hendrix,et al.  Magnetohydrodynamic Turbulence and Implications for Solar Coronal Heating , 1996 .

[151]  Y.-M. Wang Element Separation by Upward Proton Drag in the Chromosphere , 1996 .

[152]  T. Berger,et al.  On the Dynamics of Small-Scale Solar Magnetic Elements , 1996 .

[153]  E. Olsen,et al.  Thermally Driven One-Fluid Electron-Proton Solar Wind: Eight-Moment Approximation , 1996 .

[154]  C. Ferro-Fontán,et al.  Nonlocal Heat Transport in the Solar Wind , 1996 .

[155]  V. Hansteen,et al.  Coronal heating, densities, and temperatures and solar wind acceleration , 1995 .

[156]  P. C. Gray,et al.  Phenomenology for the decay of energy-containing eddies in homogeneous MHD turbulence , 1995 .

[157]  C. Schrijver Basal heating in the atmospheres of cool stars , 1995 .

[158]  Madhulika Guhathakurta,et al.  Physical Properties of Polar Coronal Rays and Holes as Observed with the Spartan 201-01 Coronagraph , 1995 .

[159]  F. Coroniti,et al.  Acoustic wave propagation in the solar atmosphere 1. Rediscussion of the linearized theory including nonstationary solutions , 1995 .

[160]  T. Rimmele,et al.  Dark lanes in granulation and the excitation of solar oscillations , 1995 .

[161]  P. Sturrock,et al.  The possible role of high-frequency waves in heating solar coronal loops , 1994 .

[162]  S. Sridhar,et al.  Toward a theory of interstellar turbulence. 2. Strong Alfvenic turbulence , 1994 .

[163]  R. Rosner,et al.  On sound generation by turbulent convection: A new look at old results , 1994 .

[164]  J. Hollweg,et al.  Parametric instabilities of parallel-propagating Alfven waves: Some analytical results , 1993 .

[165]  D. Banerjee,et al.  Energy Transport to the Solar Corona by Magnetic Kink Waves , 1993 .

[166]  D. Mullan,et al.  Mg II and Ly-alpha fluxes in M dwarfs - Evaluation of an acoustic model , 1993 .

[167]  Y.-M. Wang Flux-tube divergence, coronal heating, and the solar wind , 1993 .

[168]  Juan M. Fontenla,et al.  Energy balance in the solar transition region. III - Helium emission in hydrostatic, constant-abundance models with diffusion , 1993 .

[169]  M. Carlsson,et al.  Non-LTE Radiating Acoustic Shocks and CA II K2V Bright Points , 1992 .

[170]  Bradley M. Peterson,et al.  ANISOTROPIC LINE EMISSION AND THE GEOMETRY OF THE BROAD-LINE REGION IN ACTIVE GALACTIC NUCLEI , 1992 .

[171]  William H. Press,et al.  Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing , 1992 .

[172]  Robert L. Kurucz,et al.  Model Atmospheres for Population Synthesis , 1992 .

[173]  H. Rosenbauer,et al.  Correlations between the level of MHD fluctuations and the bulk speed and mass flux in the solar wind , 1992 .

[174]  T. Scholz,et al.  Collisional rates and cooling within atomic hydrogen plasmas , 1991 .

[175]  M. Barkhudarov Alfvén waves in stellar winds , 1991 .

[176]  Juan M. Fontenla,et al.  Energy Balance in the Solar Transition Region. II. Effects of Pressure and Energy Input on Hydrostatic Models , 1991 .

[177]  N. Sheeley,et al.  Why fast solar wind originates from slowly expanding coronal flux tubes , 1991 .

[178]  G. Wallerstein Cool stars, stellar systems, and the sun : Sixth Cambridge Workshop , 1990 .

[179]  W. Matthaeus,et al.  Transport and turbulence modeling of solar wind fluctuations , 1990 .

[180]  N. Sheeley,et al.  Solar wind speed and coronal flux-tube expansion , 1990 .

[181]  E. Avrett,et al.  Energy balance in the solar transition region. I - Hydrostatic thermal models with ambipolar diffusion , 1990 .

[182]  P. Isenberg Investigations of a turbulence‐driven solar wind model , 1990 .

[183]  A. Poland,et al.  Opacity effects on the radiative losses of coronal loops , 1991 .

[184]  R. Athay,et al.  Model solar chromosphere with prescribed heating , 1989 .

[185]  E. Marsch,et al.  Basic properties of solar wind MHD turbulence near 0.3 AU analyzed by means of Elsässer variables , 1989 .

[186]  W. Matthaeus,et al.  Extended inertial range phenomenology of magnetohydrodynamic turbulence , 1989 .

[187]  G. Collins The Fundamentals of Stellar Astrophysics , 1989 .

[188]  R. Athay,et al.  Chromospheric and coronal heating , 1989 .

[189]  William H. Press,et al.  Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .

[190]  F. Palla,et al.  Ionization structure and emission of winds from low-luminosity pre-main-sequence stars , 1988 .

[191]  Stability of Radiative Shocks with Time-Dependent Cooling , 1988 .

[192]  G. H. Bowen,et al.  Dynamical modeling of long-period variable star atmospheres , 1988 .

[193]  G. Withbroe The temperature structure, mass, and energy flow in the corona and inner solar wind , 1988 .

[194]  William H. Press,et al.  Numerical Recipes in FORTRAN - The Art of Scientific Computing, 2nd Edition , 1987 .

[195]  P. Venkatakrishnan Inhibition of convective collapse of solar magnetic flux tubes by radiative diffusion , 1986, Nature.

[196]  J. T. Hoeksema,et al.  An atlas of photospheric magnetic field observations and computed coronal magnetic fields: 1976–1985 , 1986 .

[197]  J. V. Hollweg Transition region, corona, and solar wind in coronal holes , 1986 .

[198]  E. Bertschinger,et al.  A periodic shock wave model for Mira variable atmospheres , 1985 .

[199]  M. Dryer,et al.  On heat conduction in multicomponent, non-Maxwellian spherically symmetric solar wind plasmas , 1985 .

[200]  A. V. Ballegooijen,et al.  Cascade of magnetic energy as a mechanism of coronal heating , 1985 .

[201]  D. Mihalas,et al.  Foundations of Radiation Hydrodynamics , 1985 .

[202]  J. Higdon Density fluctuations in the interstellar medium: evidence for anisotropic magnetogasdynamic turbulen , 1984 .

[203]  Heat flux saturation in hydrodynamic soft X-ray solar flare plasmas , 1984 .

[204]  S. Owocki,et al.  The solar wind ionization state as a coronal temperature diagnostic , 1983 .

[205]  W. Matthaeus,et al.  Magnetohydrodynamic turbulence in the solar wind , 1999 .

[206]  T. Holzer,et al.  Alfvén waves in stellar winds , 1983 .

[207]  John V. Shebalin,et al.  Anisotropy in MHD turbulence due to a mean magnetic field , 1983, Journal of Plasma Physics.

[208]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[209]  R. Canfield,et al.  Flare loop radiative hydrodynamics. I. Basic methods , 1983 .

[210]  R. Hammer Energy balance of stellar coronae. I - Methods and examples. II - Effect of coronal heating , 1982 .

[211]  P. Isenberg,et al.  Finite amplitude Alfvén waves in a multi-ion plasma: Propagation, acceleration, and heating , 1982 .

[212]  H. Spruit Propagation speeds and acoustic damping of waves in magnetic flux tubes , 1982 .

[213]  V. Kovalenko Energy balance of the corona and the origin of quasi-stationary high-speed solar wind streams , 1981 .

[214]  W. DeCampli T Tauri winds , 1981 .

[215]  J. Ionson,et al.  On the theory of coronal heating mechanisms , 1981 .

[216]  L. Hartmann,et al.  Momentum and energy deposition in late-type stellar atmospheres and winds , 1980 .

[217]  Leendert Vriens,et al.  Cross-section and rate formulas for electron-impact ionization, excitation, deexcitation, and total depopulation of excited atoms , 1980 .

[218]  T. Holzer,et al.  Energy addition in the solar wind , 1980 .

[219]  P. Ricchiazzi,et al.  A probabilistic approach to radiative energy loss calculations for optically thick atmospheres: Hydrogen lines and continua , 1980 .

[220]  Pierluigi Veltri,et al.  Fully developed anisotropic hydromagnetic turbulence in interplanetary space , 1980 .

[221]  L. Auer,et al.  Thermal Models for Solar Hard X-ray Bursts , 1980 .

[222]  M. Heinemann,et al.  Non‐WKB Alfvén waves in the solar wind , 1980 .

[223]  D. Smith,et al.  Confinement of hot, hard X-ray producing electrons in solar flares , 1979 .

[224]  M. Goldstein,et al.  An instability of finite amplitude circularly polarized Alfven waves. [in solar wind and corona , 1978 .

[225]  S. A. Jacques Momentum and energy transport by waves in the solar atmosphere and solar wind. , 1977 .

[226]  M. Altschuler,et al.  Solar sources of the interplanetary magnetic field and solar wind , 1977 .

[227]  T. Holzer,et al.  Dynamics of coronal hole regions , 1976 .

[228]  L. Lucy Mass Loss by Cool Carbon Stars , 1976 .

[229]  J. Hollweg,et al.  Collisionless electron heat conduction in the solar wind , 1976 .

[230]  W. Manheimer,et al.  Model for the production and transport of energetic particles in a laser produced plasma , 1974 .

[231]  J. Hollweg,et al.  On electron heat conduction in the solar wind , 1974 .

[232]  R. Schwartz,et al.  Waves in the solar atmosphere. III. The propagation of periodic wave trains in a gravitational atmosphere , 1973 .

[233]  O. P. Shmeleva,et al.  Distribution of temperature and emission measure in a steadily heated solar atmosphere , 1973, Solar Physics.

[234]  S. Runcorn Coronal Expansion and Solar Wind: A.J. Hundhausen. Springer-Verlag, Berlin, 1972, 238 pp. , 1973 .

[235]  R. Hung,et al.  Dissipation of hydromagnetic waves with application to the outer solar corona. I - Collisionless protons and collisional electrons. II - Transition from collisional to collisionless electrons. , 1973 .

[236]  F. Perkins HEAT CONDUCTIVITY, PLASMA INSTABILITIES, AND RADIO STAR SCINTILLATIONS IN THE SOLAR WIND. , 1973 .

[237]  R. Schwartz,et al.  Waves in the Solar Atmosphere. II. Large-Amplitude Acoustic Pulse Propagation , 1972 .

[238]  A. Hundhausen,et al.  Coronal Expansion and Solar Wind , 1972 .

[239]  J. Belcher ALFVÉNIC Wave Pressures and the Solar Wind , 1971 .

[240]  L. Lucy The Formation of Resonance Lines in Extended and Expanding Atmospheres , 1971 .

[241]  R. Dewar INTERACTION BETWEEN HYDROMAGNETIC WAVES AND A TIME-DEPENDENT, INHOMOGENEOUS MEDIUM. , 1970 .

[242]  D. Forslund Instabilities associated with heat conduction in the solar wind and their consequences , 1970 .

[243]  Donald P. Cox,et al.  Ionization equilibrium and radiative cooling of a low-density plasma. , 1969 .

[244]  E. Parker,et al.  Stochastic aspects of magnetic lines of force with application to cosmic-ray propagation. , 1969 .

[245]  A. A. Galeev,et al.  Nonlinear plasma theory , 1969 .

[246]  P. Coleman Turbulence, viscosity, and dissipation in the solar-wind plasma , 1968 .

[247]  F. Bretherton,et al.  Wavetrains in inhomogeneous moving media , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[248]  A. Hundhausen,et al.  The State of Ionization of Oxygen in the Solar Wind , 1968 .

[249]  R. Stein Generation of acoustic and gravity waves by turbulence in an isothermal stratified atmosphere , 1967 .

[250]  G. Newkirk Structure of the Solar Corona , 1967 .

[251]  N. Ness,et al.  The collimation of cosmic rays by the interplanetary magnetic field. , 1966 .

[252]  Robert H. Kraichnan,et al.  Inertial‐Range Spectrum of Hydromagnetic Turbulence , 1965 .

[253]  R. E. Marshak,et al.  Interplanetary Dynamical Processes , 1963 .

[254]  D. Osterbrock The Heating of the Solar Chromosphere, Plages, and Corona by Magnetohydrodynamic Waves. , 1961 .

[255]  R. Weymann Heating of Stellar Chromospheres by Shock Waves. , 1960 .

[256]  E. Parker Dynamics of the Interplanetary Gas and Magnetic Fields , 1958 .

[257]  M. Lighthill On sound generated aerodynamically I. General theory , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[258]  Walter M. Elsasser,et al.  The Hydromagnetic Equations , 1950 .

[259]  M. Schwarzschild On Noise Arising from the Solar Granulation. , 1948 .

[260]  Hannes Alfvén,et al.  Granulation, Magneto-Hydrodynamic Waves, and the Heating of the Solar Corona , 1947 .

[261]  S. Chandrasekhar The Radiative Equilibrium of Extended Stellar Atmospheres , 1934 .

[262]  E. A. Milne,et al.  Remarks on the Schwarzschild-Milne Model of the Outer Layers of a Star. II , 1930 .