Solar Wind Turbulence

Total Page:16

File Type:pdf, Size:1020Kb

Solar Wind Turbulence Solar Wind Turbulence A Study of Corotating Interaction Regions at AU Jerey A Tessein DepartmentofPhysics University of New Hampshire Durham NH May Abstract The solar wind is a sup ersonic ow of plasma coming out of the Sun and propagating throughout the heliosphere Because of the Suns rotation and the variability in the source of the solar wind fast moving wind can crash into slow wind This results in an interface that can rep eat as the Sun rotates known as a Corotating Interaction Region CIR where the slippage of fast wind past slow wind is a source of turbulence Ihave taken CIR events from the solar minimum years and to analyze their turbulence parameters and compared them to nonCIR ambient turbulence from solar maximum years The CIR turbulence diers from the ambient turbulence b ecause it is eectively a p ointsourceand the hop e is to nd evidence of turbulent energy emanating from the interface This should present some nonhomogeneities not seen by nonCIR turbulence We nd that there are some dierences with the CIR turbulence but for the most part the CIR turbulence has the same results as past turbulence studies This most likely means that the evolution of solar wind turbulence is faster than that of the source Contents Basics of the Solar Wind Prop erties of the Solar Wind Magnetosphere Termination Sho ck History of Solar Wind Measurements Current Missions Solar Cycle Coronal Mass Ejections Origin of the Solar Wind Parker Solutions Three Mathematical Approaches to the Solar Wind Solar Wind Development Bulk Solar Wind at AU Fast And Slow Wind Transients in the Solar Wind Sho cks Corotating Interaction Regions Magnetic Clouds Cosmic Rays Plasma Magnetohydro dynamics Plasma Waves Fluctuations Developmentofturbulence Sp ectral Index Geometry Inertial Range Dissipation Range Helios Observations Dierences Between Fast and SlowWind Smaller Scale Analyses Tessein Hourly Analysis Background DataAnalysis ACE s Merged Data i ACE High Reolution MAG Data Analysis Helios MAG Data Conclusions Corotating Interaction Regions at AU Motivation Data Results Discussion ii Acknowledgements First and foremost I would liketothankmy advisor Dr Charles W Smith without whom none of this would b e p ossible I have come a long way from the rst year physics ma jor I was several years ago Working for Dr Smith has op ened many do ors for me including publications attending meetings and acceptance to graduate scho ol The career path that lays ahead of me has b een made p ossible by his excellentmentoring Iwould like to thank my fellowphysics ma jors who have b een excellent supp ort over the last four years Instead of b eing in constant comp etition with one another my class has b een more like a supp ortivecommunityofwhich b eing a memb er has b een a pleasant exp erience Iwould also like to thank Dr Bernie Vasquez for helping out with some imp ortant things Lastly I need to thank my family and friends They are go o d p eople and have always b een there for me Chapter Basics of the Solar Wind Prop erties of the Solar Wind The solar wind is a sup ersonic gas propagating throughout interplanetary space It is an extension of the solar atmosphere driven by the dierence in gas pressure b etween the Sun and space The vast ma jority of the constituent particles are protons and alpha particles He Helium also has an average abundance of bynumb er In addition isotop es up to Iron have b een observed The solar wind has an average densityofabout cm near Earth Density is dep endent on solar activity and wind sp eed during times of solar activity the density tends to spike Wind sp eed can vary from kms to kms however nominal sp eed during times of reduced solar activity is kms to kms The average temp erature is ab out K although at such an extremelylowdensity there is very little heat capacity Like density the temp erature is related to solar activity Just as with Earth the Sun has a mostly dip olar magnetic eld The pro cess that generates the magnetic eld is called a dynamo It is susp ected that the magnetic eld is generated by rotating charged uid in the interior The solar magnetic eld encompasses the entire solar system and is known as the Interplanetary Magnetic Field hereafter referred to as the IMF The IMF is coupled to the solar wind and is carried out by it Lo cal electromagnetic interactions are governed by the geometry of the IMF Ions gyrate around the eld lines The gyration has a characteristic radius given by mv r jB j Magnetosphere When the solar wind reaches a planet with a magnetic eld like Earth it interacts Earths magnetic eld generates a barrier around the planet known as the magnetosphere On the day side of the magnetosphere and around part of the night side there exists an interface known as the b ow sho ck This is the lo cation where the ram pressure of the solar wind equilibrates with the magnetic pressure of Earths magnetosphere This eect is similar to arockinafastmoving river There is a stationary sho ckwave in the stream that causes the water to slide around the ro ck In the case of the magnetopause the sho ckdoesmove dep ending on the pressure from solar wind for example a solar storm can compress the bow sho ck closer to Earth Likewise during quiet solar wind Earths magnetic eld is Figure Artists rendition of the heliosphere Image courtesy of NASA able to push the b ow sho cksunward As the solar wind is diverted around the side of the magnetosphere it forms a long narrowing b oundary on the night side of Earth called the magnetotail Termination Sho ck The solar wind extends out to approximately AUAU is equivalent to the EarthSun distance where it reaches the termination sho ck This is the p oint where pressure from the solar wind balances with the Lo cal Interstellar Medium LISM When the the solar wind reaches the heliopause it joins with the ow of the LISM The termination sho ck completely surrounds the heliosphere and is approximately bullet shap ed The sho ck has b ecome an ob ject of study in recentyears b ecause we are getting our rst in situ measurements of it from Voyagers and An artists depiction of the entire heliosphere is shown in Figure History of Solar Wind Measurements Studies of solarterrestrial relations have a long history Before the space age there were numerous ways to remotely measure the eects of solar activity on our planet Aurora studies go back thousands of years and chemical analysis of tree rings is also an indicator of the sunsp ot record sunsp ot numb er correlates to solar activity A lack of solar activity from to called the Maunder Minimum has b een linked to unusually cold weather Viking settlements in Greenland correpsond to what is known as the Medievel Warm Perio d immediately preceeding the Maunder Minimum During the Maunder Minimum Vikings abandoned Greenland p ossibly due to climate change In the twentieth century studies of comet tails p ortended the existence of a solar wind Astronomers found that comets contain a second tail that always p oints antisunwardInadditiontoadusty tail a comet has a second tail that contains ions This is known as a plasma tail The observation that the plasma tail always p oints antisunward meant that there must b e a continuous solar wind During the early s most astronomers thought that the solar wind only came in intermittent bubbles It was referred to as solar corpuscular radiation In Eugene Parker predicted the existence of a continuous sup ersonic solar wind This was so on conrmed by in situ measurements from early satellites This forms the basis for our current picture of the solar wind Current Missions The arrival of the space age has greatly increased our knowledge of the solar wind In the s the Helios spacecraft wentwithinAU of the Sun the closest of any spacecraft to date A new mission Solar Prob e is scheduled to get much closer to the Sun around The twoVoyager spacecraft launched in have reached the termination sho ck and are returning the rst in situ measurements of the b oundary regions b etween the Heliosphere and the LISM As of the IBEX mission is mapping the termination sho ckby measuring neutral particles coming in from the LISM Ulysses launched in did several p olar orbits ab out the Sun revealing much ab out prop erties of the highlatitude solar wind The spacecraft that will b e used for this thesis ACE Advanced Comp osition Explorer was launched in and takes plasma measurements at the L p ointbetween the Sun and Earth Solar Cycle ween stages of solar min The Sun go es through eleven year cycles of activity switching b et imum and solar maximum This eect is thought to b e a result of the Suns dierential rotation Because the Sun is not a rigid b o dy its equatorial regions rotate faster than the p olar regions Because low latitudes
Recommended publications
  • Observations of Solar Wind Penetration Into the Earth's Magnetosphere: the Plasma Mantle
    ENNIO R. SANCHEZ, CHING-I. MENG, and PATRICK T. NEWELL OBSERVATIONS OF SOLAR WIND PENETRATION INTO THE EARTH'S MAGNETOSPHERE: THE PLASMA MANTLE The large database provided by the continuous coverage of the Defense Meteorological Satellite Pro­ gram polar orbiting satellites constitutes an important source of information on particle precipitation in the ionosphere. This information can be used to monitor and map the Earth's magnetosphere (the cavity around the Earth that forms as the stream of particles and magnetic field ejected from the Sun, known as the solar wind, encounters the Earth's magnetic field) and for a large variety of statistical studies of its morphology and dynamics. The boundary between the magnetosphere and the solar wind is pre­ sumably open in some places and at some times, thus allowing the direct entry of solar-wind plasma into the magnetosphere through a boundary layer known as the plasma mantle. The preliminary results of a statistical study of the plasma-mantle precipitation in the ionosphere are presented. The first quan­ titative mapping of the ionospheric region where the plasma-mantle particles precipitate is obtained. INTRODUCTION Polar orbiting satellites are very useful platforms for studying the properties of the environment surrounding the Earth at distances well above the ionosphere. This article focuses on a description of the enormous poten­ tial of those platforms, especially when they are com­ bined with other means of measurement, such as ground-based stations and other satellites. We describe in some detail the first results of the kind of study for which the polar orbiting satellites are ideal instruments.
    [Show full text]
  • THEMIS Telescope Images Analysed for Space Weather Traces
    EPSC Abstracts Vol. 14, EPSC2020-1022, 2020 https://doi.org/10.5194/epsc2020-1022 Europlanet Science Congress 2020 © Author(s) 2021. This work is distributed under the Creative Commons Attribution 4.0 License. THEMIS telescope images analysed for space weather traces Melinda Dósa1, Valeria Mangano2, Zsofia Bebesi1, Stefano Massetti2, Anna Milillo2, and Anna Görgei3 1Wigner Research Centre for Physics, Space Physics and Space Technology, Budapest, Hungary ([email protected]) 2INAF/IAPS, Istituto Nazionale di Astrofisica, Roma, Italy 3Eötvös Loránd University, Institute of Physics The THEMIS solar telescope operating on Tenerife (Canary islands) has observed Mercury’s Na exosphere along several campaigns since 2007. A dataset of images taken between 2009 and 2013 are analysed here in relation with propagated solar wind data. A small subset of the images shows a low level of correlation between Na-emission and solar wind dynamic pressure. The amount of data at present is not sufficient to make a clear statement on whether the correlation is a coincidence or can be explained by other factors (position of Mercury and Earth, solar activity, etc.). Nevertheless, the authors present a comprehensive study taking into account all possible factors. Sodium plays a special role in Mercury’s exosphere: due to its strong resonance line it has been observed and monitored by Earth-based telescopes for decades. Different and highly variable patterns of Na-emission have been identified, the most common and recurrent being the high latitude double-peak pattern [1]. It is clear that the exosphere is linked to the surface and influenced by the interstellar medium and the solar wind deviated by the magnetosphere, but the role and weight of the single processes are still under discussion [2].
    [Show full text]
  • Cmes, Solar Wind and Sun-Earth Connections: Unresolved Issues
    CMEs, solar wind and Sun-Earth connections: unresolved issues Rainer Schwenn Max-Planck-Institut für Sonnensystemforschung, Katlenburg-Lindau, Germany [email protected] In recent years, an unprecedented amount of high-quality data from various spaceprobes (Yohkoh, WIND, SOHO, ACE, TRACE, Ulysses) has been piled up that exhibit the enormous variety of CME properties and their effects on the whole heliosphere. Journals and books abound with new findings on this most exciting subject. However, major problems could still not be solved. In this Reporter Talk I will try to describe these unresolved issues in context with our present knowledge. My very personal Catalog of ignorance, Updated version (see SW8) IAGA Scientific Assembly in Toulouse, 18-29 July 2005 MPRS seminar on January 18, 2006 The definition of a CME "We define a coronal mass ejection (CME) to be an observable change in coronal structure that occurs on a time scale of a few minutes and several hours and involves the appearance (and outward motion, RS) of a new, discrete, bright, white-light feature in the coronagraph field of view." (Hundhausen et al., 1984, similar to the definition of "mass ejection events" by Munro et al., 1979). CME: coronal -------- mass ejection, not: coronal mass -------- ejection! In particular, a CME is NOT an Ejección de Masa Coronal (EMC), Ejectie de Maså Coronalå, Eiezione di Massa Coronale Éjection de Masse Coronale The community has chosen to keep the name “CME”, although the more precise term “solar mass ejection” appears to be more appropriate. An ICME is the interplanetry counterpart of a CME 1 1.
    [Show full text]
  • Solar Wind Magnetosphere Coupling
    Solar Wind Magnetosphere Coupling F. Toffoletto, Rice University Figure courtesy T. W. Hill with thanks to R. A. Wolf and T. W. Hill, Rice U. Outline • Introduction • Properties of the Solar Wind Near Earth • The Magnetosheath • The Magnetopause • Basic Physical Processes that control Solar Wind Magnetosphere Coupling – Open and Closed Magnetosphere Processes – Electrodynamic coupling – Mass, Momentum and Energy coupling – The role of the ionosphere • Current Status and Summary QuickTime™ and a YUV420 codec decompressor are needed to see this picture. Introduction • By virtue of our proximity, the Earth’s magnetosphere is the most studied and perhaps best understood magnetosphere – The system is rather complex in its structure and behavior and there are still some basic unresolved questions – Today’s lecture will focus on describing the coupling to the major driver of the magnetosphere - the solar wind, and the ionosphere – Monday’s lecture will look more at the more dynamic (and controversial) aspect of magnetospheric dynamics: storms and substorms The Solar Wind Near the Earth Solar-Wind Properties Observed Near Earth • Solar wind parameters observed by many spacecraft over period 1963-86. From Hapgood et al. (Planet. Space Sci., 39, 410, 1991). Solar Wind Observed Near Earth Values of Solar-Wind Parameters Parameter Minimum Most Maximum Probable Velocity v (km/s) 250 370 2000× Number density n (cm-3) 683 Ram pressure rv2 (nPa)* 328 Magnetic field strength B 0 6 85 (nanoteslas) IMF Bz (nanoteslas) -31 0¤ 27 * 1 nPa = 1 nanoPascal = 10-9 Newtons/m2. Indicates at least one interval with B < 0.1 nT. ¤ Mean value was 0.014 nT, with a standard deviation of 3.3 nT.
    [Show full text]
  • THEMIS Observations of a Hot Flow Anomaly: Solar Wind, Magnetosheath, and Ground-Based Measurements J
    THEMIS observations of a hot flow anomaly: Solar wind, magnetosheath, and ground-based measurements J. Eastwood, D. Sibeck, V. Angelopoulos, T. Phan, S. Bale, J. Mcfadden, C. Cully, S. Mende, D. Larson, S. Frey, et al. To cite this version: J. Eastwood, D. Sibeck, V. Angelopoulos, T. Phan, S. Bale, et al.. THEMIS observations of a hot flow anomaly: Solar wind, magnetosheath, and ground-based measurements. Geophysical Research Letters, American Geophysical Union, 2008, 35 (17), pp.L17S03. 10.1029/2008GL033475. hal- 03086705 HAL Id: hal-03086705 https://hal.archives-ouvertes.fr/hal-03086705 Submitted on 23 Dec 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. GEOPHYSICAL RESEARCH LETTERS, VOL. 35, L17S03, doi:10.1029/2008GL033475, 2008 THEMIS observations of a hot flow anomaly: Solar wind, magnetosheath, and ground-based measurements J. P. Eastwood,1 D. G. Sibeck,2 V. Angelopoulos,3 T. D. Phan,1 S. D. Bale,1,4 J. P. McFadden,1 C. M. Cully,5,6 S. B. Mende,1 D. Larson,1 S. Frey,1 C. W. Carlson,1 K.-H. Glassmeier,7 H. U. Auster,7 A. Roux,8 and O.
    [Show full text]
  • Solar Wind Properties and Geospace Impact of Coronal Mass Ejection-Driven Sheath Regions: Variation and Driver Dependence E
    Solar Wind Properties and Geospace Impact of Coronal Mass Ejection-Driven Sheath Regions: Variation and Driver Dependence E. K. J. Kilpua, D. Fontaine, C. Moissard, M. Ala-lahti, E. Palmerio, E. Yordanova, S. Good, M. M. H. Kalliokoski, E. Lumme, A. Osmane, et al. To cite this version: E. K. J. Kilpua, D. Fontaine, C. Moissard, M. Ala-lahti, E. Palmerio, et al.. Solar Wind Properties and Geospace Impact of Coronal Mass Ejection-Driven Sheath Regions: Variation and Driver Dependence. Space Weather: The International Journal of Research and Applications, American Geophysical Union (AGU), 2019, 17 (8), pp.1257-1280. 10.1029/2019SW002217. hal-03087107 HAL Id: hal-03087107 https://hal.archives-ouvertes.fr/hal-03087107 Submitted on 23 Dec 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. RESEARCH ARTICLE Solar Wind Properties and Geospace Impact of Coronal 10.1029/2019SW002217 Mass Ejection-Driven Sheath Regions: Variation and Key Points: Driver Dependence • Variation of interplanetary properties and geoeffectiveness of CME-driven sheaths and their dependence on the E. K. J. Kilpua1 , D. Fontaine2 , C. Moissard2 , M. Ala-Lahti1 , E. Palmerio1 , ejecta properties are determined E.
    [Show full text]
  • Relativistic Generation of Vortex and Magnetic Fielda) S
    PHYSICS OF PLASMAS 18, 055701 (2011) Relativistic generation of vortex and magnetic fielda) S. M. Mahajan1,b) and Z. Yoshida2 1Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA 2Graduate School of Frontier Sciences, The University of Tokyo, Chiba 277-8561, Japan (Received 24 November 2010; accepted 1 February 2011; published online 8 April 2011) The implications of the recently demonstrated relativistic mechanism for generating generalized vorticity in purely ideal dynamics [Mahajan and Yoshida, Phys. Rev. Lett. 105, 095005 (2010)] are worked out. The said mechanism has its origin in the space-time distortion caused by the demands of special relativity; these distortions break the topological constraint (conservation of generalized helicity) forbidding the emergence of magnetic field (a generalized vorticity) in an ideal nonrelativistic dynamics. After delineating the steps in the “evolution” of vortex dynamics, as the physical system goes from a nonrelativistic to a relativistically fast and hot plasma, a simple theory is developed to disentangle the two distinct components comprising the generalized vorticity—the magnetic field and the thermal-kinetic vorticity. The “strength” of the new universal mechanism is, then, estimated for a few representative cases; in particular, the level of seed fields, created in the cosmic setting of the early hot universe filled with relativistic particle–antiparticle pairs (up to the end of the electron–positron era), are computed. Possible applications of the mechanism in intense laser produced plasmas are also explored. It is suggested that highly relativistic laser plasma could provide a laboratory for testing the essence of the relativistic drive.
    [Show full text]
  • Atmospheric Escape from the TRAPPIST-1 Planets\Xmlpi{\\}
    Atmospheric escape from the TRAPPIST-1 planets and implications for habitability Chuanfei Donga,b,1, Meng Jinc, Manasvi Lingamd,e, Vladimir S. Airapetianf, Yingjuan Mag, and Bart van der Holsth aDepartment of Astrophysical Sciences, Princeton University, Princeton, NJ 08544; bPrinceton Center for Heliophysics, Princeton Plasma Physics Laboratory, Princeton University, Princeton, NJ 08544; cLockheed Martin Solar and Astrophysics Laboratory, Palo Alto, CA 94304; dInstitute for Theory and Computation, Harvard–Smithsonian Center for Astrophysics, Cambridge, MA 02138; eJohn A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138; fHeliophysics Science Division, NASA Goddard Space Flight Center, Greenbelt, MD 20771; gInstitute of Geophysics and Planetary Physics, University of California, Los Angeles, CA 90095; and hCenter for Space Environment Modeling, University of Michigan, Ann Arbor, MI 48109 Edited by Neta A. Bahcall, Princeton University, Princeton, NJ, and approved December 4, 2017 (received for review May 15, 2017) The presence of an atmosphere over sufficiently long timescales dence from our own Solar System suggests that the erosion of the is widely perceived as one of the most prominent criteria asso- atmosphere by the stellar wind plays a crucial role, especially for ciated with planetary surface habitability. We address the crucial Earth-sized planets where such losses constitute the dominant question of whether the seven Earth-sized planets transiting the mechanism (13, 14), and the same could also be true for exo- recently discovered ultracool dwarf star TRAPPIST-1 are capable of planets around M dwarfs (15, 16). Recent studies of atmospheric retaining their atmospheres. To this effect, we carry out numerical ion escape rates from Proxima b (and other M-dwarf exoplanets) simulations to characterize the stellar wind of TRAPPIST-1 and the also appear to indicate that the resulting ion losses are signifi- atmospheric ion escape rates for all of the seven planets.
    [Show full text]
  • Arxiv:2101.06279V2 [Astro-Ph.SR] 3 Mar 2021 N H Rtecutro S Ihtesn Nnvme 2018, November in D Sun, Question
    Astronomy & Astrophysics manuscript no. paper_reconnection_SB ©ESO 2021 March 4, 2021 Direct evidence for magnetic reconnection at the boundaries of magnetic switchbacks with Parker Solar Probe C. Froment1, V. Krasnoselskikh1, 2, T. Dudok de Wit1, O. Agapitov2, N. Fargette3, B. Lavraud3, 4, A. Larosa1, M. Kretzschmar1, V. K. Jagarlamudi1, 5, M. Velli6, D. Malaspina7, 8, P. L. Whittlesey2, S. D. Bale2, 9, 10, 11, A. W. Case12, K. Goetz13, J. C. Kasper12, 14, 15, K. E. Korreck12, D. E. Larson2, R. J. MacDowall16, F. S. Mozer9, M. Pulupa2, C. Revillet1, and M. L. Stevens12 1 LPC2E, CNRS/University of Orléans/CNES, 3A avenue de la Recherche Scientifique, Orléans, France e-mail: [email protected] 2 Space Sciences Laboratory, University of California, Berkeley, CA 94720-7450, USA 3 Institut de Recherche en Astrophysique et Planétologie, CNRS, UPS, CNES, Toulouse, France 4 Laboratoire d’Astrophysique de Bordeaux, Univ. Bordeaux, CNRS, B18N, allée Geoffroy Saint-Hilaire, 33615 Pessac, France 5 National Institute for Astrophysics-Institute for Space Astrophysics and Planetology, Via del Fosso del Cavaliere 100, I-00133 Roma, Italy 6 Department of Earth, Planetary, and Space Sciences, UCLA, Los Angeles, CA, 90095, USA 7 Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80303, USA 8 Astrophysical and Planetary Sciences Department, University of Colorado, Boulder, CO 80303, USA 9 Physics Department, University of California, Berkeley, CA 94720-7300, USA 10 The Blackett Laboratory, Imperial College London,
    [Show full text]
  • Lecture 17: the Solar Wind O Topics to Be Covered
    Lecture 17: The solar wind o Topics to be covered: o Solar wind o Inteplanetary magnetic field The solar wind o Biermann (1951) noticed that many comets showed excess ionization and abrupt changes in the outflow of material in their tails - is this due to a solar wind? o Assumed comet orbit perpendicular to line-of-sight (vperp) and tail at angle ! => tan! = vperp/vr o From observations, tan ! ~ 0.074 o But vperp is a projection of vorbit -1 => vperp = vorbit sin ! ~ 33 km s -1 o From 600 comets, vr ~ 450 km s . o See Uni. New Hampshire course (Physics 954) for further details: http://www-ssg.sr.unh.edu/Physics954/Syllabus.html The solar wind o STEREO satellite image sequences of comet tail buffeting and disconnection. Parker’s solar wind o Parker (1958) assumed that the outflow from the Sun is steady, spherically symmetric and isothermal. o As PSun>>PISM => must drive a flow. o Chapman (1957) considered corona to be in hydrostatic equibrium: dP = −ρg dr dP GMS ρ + 2 = 0 Eqn. 1 dr r o If first term >> than second €=> produces an outflow: € dP GM ρ dv + S + ρ = 0 Eqn. 2 dr r2 dt o This is the equation for a steadily expanding solar/stellar wind. € Parker’s solar wind (cont.) dv dv dr dv dP GM ρ dv o As, = = v => + S + ρv = 0 dt dr dt dr dr r2 dr dv 1 dP GM or v + + S = 0 Eqn. 3 dr ρ dr r2 € € o Called the momentum equation. € o Eqn. 3 describes acceleration (1st term) of the gas due to a pressure gradient (2nd term) and gravity (3rd term).
    [Show full text]
  • Extreme Solar Eruptions and Their Space Weather Consequences Nat
    Extreme Solar Eruptions and their Space Weather Consequences Nat Gopalswamy NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA Abstract: Solar eruptions generally refer to coronal mass ejections (CMEs) and flares. Both are important sources of space weather. Solar flares cause sudden change in the ionization level in the ionosphere. CMEs cause solar energetic particle (SEP) events and geomagnetic storms. A flare with unusually high intensity and/or a CME with extremely high energy can be thought of examples of extreme events on the Sun. These events can also lead to extreme SEP events and/or geomagnetic storms. Ultimately, the energy that powers CMEs and flares are stored in magnetic regions on the Sun, known as active regions. Active regions with extraordinary size and magnetic field have the potential to produce extreme events. Based on current data sets, we estimate the sizes of one-in-hundred and one-in-thousand year events as an indicator of the extremeness of the events. We consider both the extremeness in the source of eruptions and in the consequences. We then compare the estimated 100-year and 1000-year sizes with the sizes of historical extreme events measured or inferred. 1. Introduction Human society experienced the impact of extreme solar eruptions that occurred on October 28 and 29 in 2003, known as the Halloween 2003 storms. Soon after the occurrence of the associated solar flares and coronal mass ejections (CMEs) at the Sun, people were expecting severe impact on Earth’s space environment and took appropriate actions to safeguard technological systems in space and on the ground.
    [Show full text]
  • Vortices and Flux Ropes in Electron MHD Plasmas I
    Published, Physica Scripta T84, 112-116 (2000) Vortices and Flux Ropes in Electron MHD Plasmas I. R. L. Stenzel,∗ J. M. Urrutia, and M. C. Griskey Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547 Laboratory experiments are reviewed which demonstrate the existence and properties of three- dimensional vortices in Electron MHD (EMHD) plasmas. In this parameter regime the electrons form a magnetized fluid which is charge-neutralized by unmagnetized ions. The observed vortices are time-varying flows in the electron fluid which produce currents and magnetic fields, the latter superimposed on a uniform dc magnetic field B0. The topology of the time-varying flows and fields can be described by linked toroidal and poloidal vector fields with amplitude distributions ranging from spherical to cylindrical shape. Vortices can be excited with pulsed currents to electrodes, pulsed currents in magnetic loop antennas, and heat pulses. The vortices propagate in the whistler mode along the mean field B0. In the presence of dissipation, magnetic self-helicity and energy decay at the same rate. Reversal of B0 or propagation direction changes the sign of the helicity. Helicity injection produces directional emission of vortices. Reflection of a vortex violates helicity conservation and field-line tying. Part I of two companion papers reviews the linear vortex properties while the companion Part II describes nonlinear EMHD phenomena and instabilities. I. INTRODUCTION helicity generation by instabiliites are reviewed in Part II. Vortices are common phenomena in fluids, gases, and plasmas. They often arise from velocity shear such as II. EXPERIMENTAL ARRANGEMENT occur in flows past obstacles (for example, von Kar- man vortex streets [1], Kelvin-Helmholtz instabilities [2], drift waves [3], ion temperature gradient driven vor- The experiments are performed in a large laboratory tices [4], black auroras [5]) or differential rotations (cy- plasma device sketched schematically in 1.
    [Show full text]