Access the full text.
Sign up today, get DeepDyve free for 14 days.
G. Nicolaou, G. Livadiotis (2016)
Misestimation of temperature when applying Maxwellian distributions to space plasmas described by kappa distributionsAstrophysics and Space Science, 361
G. Livadiotis (2014)
Chi-p distribution: characterization of the goodness of the fitting using Lp normsJournal of Statistical Distributions and Applications, 1
G. Livadiotis, D. McComas (2010)
EXPLORING TRANSITIONS OF SPACE PLASMAS OUT OF EQUILIBRIUMThe Astrophysical Journal, 714
G. Livadiotis (2015)
Introduction to special section on Origins and Properties of Kappa Distributions: Statistical Background and Properties of Kappa Distributions in Space PlasmasJournal of Geophysical Research: Space Physics, 120
N. Schwadron, E. Moebius, H. Kucharek, M. Lee, J. French, L. Saul, P. Wurz, M. Bzowski, S. Fuselier, G. Livadiotis, D. McComas, P. Frisch, M. Gruntman, H. Mueller (2013)
SOLAR RADIATION PRESSURE AND LOCAL INTERSTELLAR MEDIUM FLOW PARAMETERS FROM INTERSTELLAR BOUNDARY EXPLORER LOW ENERGY HYDROGEN MEASUREMENTSThe Astrophysical Journal, 775
M. Maksimović, V. Pierrard, P. Riley (1997)
Ulysses electron distributions fitted with Kappa functionsGeophysical Research Letters, 24
J. Newbury, C. Russell, G. Lindsay (1997)
Solar wind polytropic index in the vicinity of stream interactionsGeophysical Research Letters, 24
H. O. Funsten, R. DeMajistre, P. C. Frisch, J. Heerikhuisen, D. M. Higdon, P. Janzen, E. J. Zirnstein (2013)
Circularity of the IBEX ribbon of enhanced energetic neutral atom flux, 776
L. Wilson, D. Sibeck, A. Breneman, O. Contel, C. Cully, D. Turner, V. Angelopoulos, D. Malaspina (2013)
Quantified energy dissipation rates in the terrestrial bow shock: 1. Analysis techniques and methodologyJournal of Geophysical Research: Space Physics, 119
E. Whipple (1981)
Potentials of surfaces in spaceReports on Progress in Physics, 44
G. Livadiotis, D. McComas (2013)
Fitting method based on correlation maximization: Applications in space physicsJournal of Geophysical Research: Space Physics, 118
V. Pierrard, V. Pierrard, M. Lazar (2010)
Kappa Distributions: Theory and Applications in Space PlasmasSolar Physics, 267
M. Pulupa, S. Bale, C. Salem, K. Horaites (2014)
Spin‐modulated spacecraft floating potential: Observations and effects on electron momentsJournal of Geophysical Research: Space Physics, 119
S. Fuselier, F. Allegrini, M. Bzowski, M. Dayeh, M. Desai, H. Funsten, A. Galli, D. Heirtzler, P. Janzen, M. Kubiak, H. Kucharek, W. Lewis, G. Livadiotis, D. McComas, E. Möbius, S. Petrinec, M. Quinn, N. Schwadron, J. Sokół, K. Trattner, B. Wood, P. Wurz (2014)
LOW ENERGY NEUTRAL ATOMS FROM THE HELIOSHEATHThe Astrophysical Journal, 784
L. Jian, C. Russell, J. Luhmann, R. Skoug (2006)
Properties of Interplanetary Coronal Mass Ejections at One AU During 1995 – 2004Solar Physics, 239
C. Lacombe, C. Salem, A. Mangeney, Daan Hubert, C. Perche, J. Bougeret, P. Kellogg, J. Bosqued (2002)
Evidence for the interplanetary electric potential? WIND observations of electrostatic fluctuationsAnnales Geophysicae, 20
L. Hau, W.-Z. Fu (2007)
Mathematical and physical aspects of Kappa velocity distributionPhysics of Plasmas, 14
G. Livadiotis, D. McComas (2014)
Electrostatic shielding in plasmas and the physical meaning of the Debye lengthJournal of Plasma Physics, 80
K. Ogasawara, V. Angelopoulos, M. Dayeh, S. Fuselier, G. Livadiotis, D. McComas, J. Mcfadden (2013)
Characterizing the dayside magnetosheath using energetic neutral atoms: IBEX and THEMIS observationsJournal of Geophysical Research: Space Physics, 118
H. Funsten, R. DeMajistre, P. Frisch, J. Heerikhuisen, D. Higdon, P. Janzen, B. Larsen, G. Livadiotis, D. McComas, E. Möbius, C. Reese, D. Reisenfeld, N. Schwadron, E. Zirnstein (2013)
CIRCULARITY OF THE INTERSTELLAR BOUNDARY EXPLORER RIBBON OF ENHANCED ENERGETIC NEUTRAL ATOM (ENA) FLUXThe Astrophysical Journal, 776
M. Kartalev, M. Dryer, K. Grigorov, E. Stoimenova (2006)
Solar wind polytropic index estimates based on single spacecraft plasma and interplanetary magnetic field measurementsJournal of Geophysical Research, 111
(2014)
enhanced energetic neutral atom flux
P. Yoon (2014)
Electron kappa distribution and quasi‐thermal noiseJournal of Geophysical Research: Space Physics, 119
G. Livadiotis, D. McComas (2010)
Measure of the departure of the q-metastable stationary states from equilibriumPhysica Scripta, 82
H. Garrett, C. Pike (1980)
Plasmasheath-Photosheath Theory for Large High-Voltage Space Structures
J. Kasper, A. Lazarus, J. Steinberg, K. Ogilvie, A. Szabo (2006)
Physics-based Tests to Identify the Accuracy of Solar Wind Ion Measurements: A Case Study with the Wind Faraday CupsJournal of Geophysical Research, 111
S. Cuperman, A. Harten (1971)
The Radial Electric Field in the Solar WindThe Astrophysical Journal, 169
K. W. Chang, G. Bienkowski (1970)
Effects of electron emission at arbitrary pressures, 13
Z. Vörös, M. Leitner, Y. Narita, G. Consolini, P. Kov'acs, A. Tóth, J. Lichtenberger (2015)
Probability density functions for the variable solar wind near the solar cycle minimumJournal of Geophysical Research: Space Physics, 120
G. Livadiotis, D. McComas, D. McComas (2013)
Understanding Kappa Distributions: A Toolbox for Space Science and AstrophysicsSpace Science Reviews, 175
M. Hapgood, D. Bryant (1992)
Exploring the magnetospheric boundary layerPlanetary and Space Science, 40
G. Livadiotis (2007)
Approach to general methods for fitting and their sensitivityPhysica A-statistical Mechanics and Its Applications, 375
G. Livadiotis, D. McComas, B. Randol, H. Funsten, Eberhard Möbius, N. Schwadron, M. Dayeh, G. Zank, P. Frisch (2012)
PICK-UP ION DISTRIBUTIONS AND THEIR INFLUENCE ON ENERGETIC NEUTRAL ATOM SPECTRAL CURVATUREThe Astrophysical Journal, 751
K. Chang, G. Bienkowski (1970)
Effects of Electron Emission on Electrostatic Probes at Arbitrary PressuresPhysics of Fluids, 13
I. Zouganelis (2008)
Measuring suprathermal electron parameters in space plasmas : Implementation of the quasi-thermal noise spectroscopy with kappa distributions using in situ Ulysses/URAP radio measurements in the solar windJournal of Geophysical Research, 113
N. Meyer‐Vernet, M. Moncuquet, S. Hoang (1995)
Temperature Inversion in the Io Plasma TorusIcarus, 116
L. Wilson, C. Cattell, P. Kellogg, K. Goetz, K. Kersten, J. Kasper, A. Szabo, M. Wilber (2010)
Large‐amplitude electrostatic waves observed at a supercritical interplanetary shockJournal of Geophysical Research, 115
B. Thiébault, A. Hilgers, E. Sasot, V. Génot, P. Escoubet, H. Laakso, J. Forest, Artenum Sarl (2005)
Potential Barrier in the Electrostatic Sheath Around Geotail, Cluster and BepiColombo spacecraft
M. Collier, D. Hamilton, G. Gloeckler, P. Bochsler, R. Sheldon (1996)
Neon-20, oxygen-16, and helium-4 densities, temperatures, and suprathermal tails in the solar wind determined with WIND/MASSGeophysical Research Letters, 23
G. Nicolaou, G. Livadiotis, X. Moussas (2014)
Long-Term Variability of the Polytropic Index of Solar Wind Protons at 1 AUSolar Physics, 289
Du Jiulin (2004)
The nonextensive parameter and Tsallis distribution for self-gravitating systemsEPL, 67
N. Meyer‐Vernet, C. Perche (1989)
Tool kit for antennae and thermal noise near the plasma frequencyJournal of Geophysical Research, 94
G. Livadiotis, D. McComas, D. McComas (2009)
Beyond kappa distributions: Exploiting Tsallis statistical mechanics in space plasmasJournal of Geophysical Research, 114
P. Yoon, L. Ziebell, R. Gaelzer, R. Lin, Linghua Wang (2012)
Langmuir Turbulence and Suprathermal ElectronsSpace Science Reviews, 173
V. Pierrard, M. Maksimović, J. Lemaire (1999)
Electron velocity distribution functions from the solar wind to the coronaJournal of Geophysical Research, 104
K. Ogilvie, D. Chornay, R. Fritzenreiter, F. Hunsaker, J. Keller, J. Lobell, G. Miller, J. Scudder, E. Sittler, R. Torbert, D. Bodet, G. Needell, A. Lazarus, J. Steinberg, J. Tappan, A. Mavretic, E. Gergin (1995)
SWE, a comprehensive plasma instrument for the WIND spacecraftSpace Science Reviews, 71
J. Laframboise (1966)
Theory of spherical and cylindrical Langmuir probes in a collisionless
H. Schröder (1973)
Spherically Symmetric Model of the Photoelectron Sheath For Moderately Large Plasma Debye Lengths, 37
G. Nicolaou, D. McComas, F. Bagenal, H. Elliott, R. Wilson (2015)
Plasma properties in the deep jovian magnetotailPlanetary and Space Science, 119
I. Bernstein, I. Rabinowitz (1959)
Theory of Electrostatic Probes in a Low‐Density PlasmaPhysics of Fluids, 2
G. Livadiotis (2015)
Kappa distribution in the presence of a potential energyJournal of Geophysical Research: Space Physics, 120
K. Ogasawara, G. Livadiotis, G. Grubbs, J. Jahn, R. Michell, M. Samara, J. Sharber, J. Winningham (2017)
Properties of suprathermal electrons associated with discrete auroral arcsGeophysical Research Letters, 44
G. Pavlos, O. Malandraki, E. Pavlos, A. Iliopoulos, L. Karakatsanis (2016)
Non-extensive statistical analysis of magnetic field during the March 2012 ICME event using a multi-spacecraft approachPhysica A-statistical Mechanics and Its Applications, 464
G. Livadiotis (2016)
SUPERPOSITION OF POLYTROPES IN THE INNER HELIOSHEATHThe Astrophysical Journal Supplement Series, 223
E. Marsch (2006)
Kinetic Physics of the Solar Corona and Solar WindLiving Reviews in Solar Physics, 3
The basset Kν(x)
G. Livadiotis, M. Desai (2016)
PLASMA-FIELD COUPLING AT SMALL LENGTH SCALES IN SOLAR WIND NEAR 1 auThe Astrophysical Journal, 829
Š. Štverák, M. Maksimović, P. Trávnícek, E. Marsch, A. Fazakerley, E. Scime (2009)
Radial evolution of nonthermal electron populations in the low‐latitude solar wind: Helios, Cluster, and Ulysses ObservationsJournal of Geophysical Research, 114
G. Mann, H. Classen, E. Keppler, E. Roelof (2002)
On electron acceleration at CIR related shock wavesAstronomy and Astrophysics, 391
G. Livadiotis, D. McComas, N. Schwadron, H. Funsten, S. Fuselier (2012)
PRESSURE OF THE PROTON PLASMA IN THE INNER HELIOSHEATHThe Astrophysical Journal, 762
D. York (1966)
Least-squares fitting of a straight line.Canadian Journal of Physics, 44
G. Livadiotis (2017)
Kappa Distributions: Theory and Applications in Plasmas
G. Livadiotis, D. McComas (2011)
INVARIANT KAPPA DISTRIBUTION IN SPACE PLASMAS OUT OF EQUILIBRIUMThe Astrophysical Journal, 741
Jiulin Du (2004)
The nonextensive parameter and Tsallis distribution for self-gravitating systems
V. Pierrard, M. Pieters (2014)
Coronal heating and solar wind acceleration for electrons, protons, and minor ions obtained from kinetic models based on kappa distributionsJournal of Geophysical Research: Space Physics, 119
E. Zirnstein, J. Heerikhuisen, H. Funsten, G. Livadiotis, D. McComas, N. Pogorelov (2016)
LOCAL INTERSTELLAR MAGNETIC FIELD DETERMINED FROM THE INTERSTELLAR BOUNDARY EXPLORER RIBBONThe Astrophysical Journal Letters, 818
B. Thiébault (2004)
Potential barrier in the electrostatic sheath around a magnetospheric spacecraftJournal of Geophysical Research, 109
E. Zirnstein, H. Funsten, J. Heerikhuisen, G. Livadiotis, D. McComas, N. Pogorelov (2015)
The Local Interstellar Magnetic Field Determined from the IBEX Ribbon, 2015
L. Jian, C. Russell, J. Luhmann, A. Galvin, P. MacNeice (2009)
Multi-Spacecraft Observations: Stream Interactions and Associated StructuresSolar Physics, 259
G. Livadiotis (2015)
Kappa and q Indices: Dependence on the Degrees of FreedomEntropy, 17
P. Frisch, M. Bzowski, G. Livadiotis, D. McComas, E. Moebius, H. Mueller, W. Pryor, N. Schwadron, J. Sokół, J. Vallerga, J. Ajello (2013)
Decades-Long Changes of the Interstellar Wind Through Our Solar SystemScience, 341
L. Jian, C. Russell, J. Luhmann, R. Skoug (2006)
Properties of Stream Interactions at One AU During 1995 – 2004Solar Physics, 239
N. Sckopke, G. Paschmann, G. Haerendel, B. Sonnerup, S. Bame, T. Forbes, E. Hones, C. Russell (1980)
Structure of the low‐latitude boundary layerJournal of Geophysical Research, 86
M. Leitner, Zolan Vörös, M. Leubner (2009)
Introducing log‐kappa distributions for solar wind analysisJournal of Geophysical Research, 114
L. Wilson, D. Sibeck, A. Breneman, O. Contel, C. Cully, D. Turner, V. Angelopoulos, D. Malaspina (2014)
Quantified energy dissipation rates in the terrestrial bow shock: 2. Waves and dissipationJournal of Geophysical Research: Space Physics, 119
G. Livadiotis, D. McComas (2012)
NON-EQUILIBRIUM THERMODYNAMIC PROCESSES: SPACE PLASMAS AND THE INNER HELIOSHEATHThe Astrophysical Journal, 749
G. Livadiotis, D. McComas, M. Dayeh, H. Funsten, N. Schwadron (2011)
FIRST SKY MAP OF THE INNER HELIOSHEATH TEMPERATURE USING IBEX SPECTRAThe Astrophysical Journal, 734
This paper reports on the properties of kappa distributions in the presence of a potential energy. The constructed phase space kappa distribution leads to a polytropic relationship between the local density and temperature. The kappa and polytropic indices are connected via a characteristic and universal relationship: their sum is a constant depending specifically on the potential features. Determining this constant comprises a method essential for revealing the functional form and understanding the nature of the particle potential energy. The method is applied to the solar wind proton plasma at 1 AU. It is shown that a satisfactory physical interpretation of the potential affecting solar wind protons can be given by the interplanetary radial electric field.
Journal of Geophysical Research: Space Physics – Wiley
Published: Jan 1, 2018
Keywords: ; ; ;
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.