Magnetic Pumping as a Source of Particle Heating and Power-Law Distributions in the Solar Wind

Lichko, Emily Rose; Egedal, Jan; Daughton, William Scott; Kasper, Justin

doi:10.3847/2041-8213/aa9a33

Title: Magnetic Pumping as a Source of Particle Heating and Power-Law Distributions in the Solar Wind

Journal Article · Mon Nov 27 00:00:00 EST 2017 · The Astrophysical Journal. Letters (Online)

DOI:https://doi.org/10.3847/2041-8213/aa9a33· OSTI ID:1440480

Lichko, Emily Rose ^[1]; Egedal, Jan ^[2];

^[1]; Kasper, Justin ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
Univ. of Michigan, Ann Arbor, MI (United States)

Based on the rate of expansion of the solar wind, the plasma should cool rapidly as a function of distance to the Sun. Observations show this is not the case. In this work, a magnetic pumping model is developed as a possible explanation for the heating and the generation of power-law distribution functions observed in the solar wind plasma. Most previous studies in this area focus on the role that the dissipation of turbulent energy on microscopic kinetic scales plays in the overall heating of the plasma. However, with magnetic pumping, particles are energized by the largest-scale turbulent fluctuations, thus bypassing the energy cascade. In contrast to other models, we include the pressure anisotropy term, providing a channel for the large-scale fluctuations to heat the plasma directly. A complete set of coupled differential equations describing the evolution, and energization, of the distribution function are derived, as well as an approximate closed-form solution. Numerical simulations using the VPIC kinetic code are applied to verify the model's analytical predictions. The results of the model for realistic solar wind scenario are computed, where thermal streaming of particles are important for generating a phase shift between the magnetic perturbations and the pressure anisotropy. In turn, averaged over a pump cycle, the phase shift permits mechanical work to be converted directly to heat in the plasma. Here, the results of this scenario show that magnetic pumping may account for a significant portion of the solar wind energization.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; US Air Force Office of Scientific Research (AFOSR); National Aeronautics and Space Administration (NASA); USDOD

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1440480

Report Number(s):: LA-UR-17-30940; TRN: US1900746

Journal Information:: The Astrophysical Journal. Letters (Online), Vol. 850, Issue 2; ISSN 2041-8213

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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References (30)

Magnetic Fluctuation Power Near Proton Temperature Anisotropy Instability Thresholds in the Solar Wind Bale, S. D.; Kasper, J. C.; Howes, G. G. Physical Review Letters, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevLett.103.211101	journal	November 2009
Heating of a Confined Plasma by Oscillating Electromagnetic Fields Berger, J. M.; Newcomb, W. A.; Dawson, J. M. Physics of Fluids, Vol. 1, Issue 4 https://doi.org/10.1063/1.1705888	journal	January 1958
The magnetic pumping of plasmas with sawtooth waveforms Borovsky, Joseph E.; Hansen, Paul J. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6 https://doi.org/10.1063/1.859247	journal	June 1990
The Solar Wind as a Turbulence Laboratory Bruno, Roberto; Carbone, Vincenzo Living Reviews in Solar Physics, Vol. 10 https://doi.org/10.12942/lrsp-2013-2	journal	January 2013
Perpendicular ion Heating by Low-Frequency AlfvÉN-Wave Turbulence in the Solar wind Chandran, Benjamin D. G.; Li, Bo; Rogers, Barrett N. The Astrophysical Journal, Vol. 720, Issue 1 https://doi.org/10.1088/0004-637X/720/1/503	journal	August 2010
AlfvÉN wave Reflection and Turbulent Heating in the Solar wind from 1 Solar Radius to 1 au: an Analytical Treatment Chandran, Benjamin D. G.; Hollweg, Joseph V. The Astrophysical Journal, Vol. 707, Issue 2 https://doi.org/10.1088/0004-637X/707/2/1659	journal	December 2009
Recent progress in astrophysical plasma turbulence from solar wind observations Chen, C. H. K. Journal of Plasma Physics, Vol. 82, Issue 6 https://doi.org/10.1017/S0022377816001124	journal	December 2016
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions Chew, G. F.; Goldberger, M. L.; Low, F. E. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116	journal	July 1956
Empirical Constraints on Proton and Electron Heating in the fast Solar wind Cranmer, Steven R.; Matthaeus, William H.; Breech, Benjamin A. The Astrophysical Journal, Vol. 702, Issue 2 https://doi.org/10.1088/0004-637X/702/2/1604	journal	August 2009
Influence of Coulomb collisions on the structure of reconnection layers Daughton, W.; Roytershteyn, V.; Albright, B. J. Physics of Plasmas, Vol. 16, Issue 7 https://doi.org/10.1063/1.3191718	journal	July 2009
The Power-Law Spectra of Energetic Particles During Multi-Island Magnetic Reconnection Drake, J. F.; Swisdak, M.; Fermo, R. The Astrophysical Journal, Vol. 763, Issue 1 https://doi.org/10.1088/2041-8205/763/1/L5	journal	December 2012
Solar-wind properties at the Earth as Predicted by One-Fluid Models Durney, B. R. Journal of Geophysical Research, Vol. 77, Issue 22 https://doi.org/10.1029/JA077i022p04042	journal	August 1972
The Common Spectrum for Accelerated Ions in the Quiet-Time Solar Wind Fisk, L. A.; Gloeckler, G. The Astrophysical Journal, Vol. 640, Issue 1 https://doi.org/10.1086/503293	journal	February 2006
Particle Acceleration in the Heliosphere: Implications for Astrophysics Fisk, L. A.; Gloeckler, G. Space Science Reviews, Vol. 173, Issue 1-4 https://doi.org/10.1007/s11214-012-9899-8	journal	June 2012
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability Hammett, Gregory W.; Perkins, Francis W. Physical Review Letters, Vol. 64, Issue 25 https://doi.org/10.1103/PhysRevLett.64.3019	journal	June 1990
Two-Fluid Model of the Solar Wind Hartle, R. E.; Sturrock, P. A. The Astrophysical Journal, Vol. 151 https://doi.org/10.1086/149513	journal	January 1968
Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas Howes, G. G.; Dorland, W.; Cowley, S. C. Physical Review Letters, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevLett.100.065004	journal	February 2008
Gyrokinetic Simulations of Solar Wind Turbulence from Ion to Electron Scales Howes, G. G.; TenBarge, J. M.; Dorland, W. Physical Review Letters, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevLett.107.035004	journal	July 2011
Wind/SWE observations of firehose constraint on solar wind proton temperature anisotropy: FIREHOSE CONSTRAINT ON PROTON ANISOTROPY Kasper, Justin C.; Lazarus, Alan J.; Gary, S. Peter Geophysical Research Letters, Vol. 29, Issue 17 https://doi.org/10.1029/2002GL015128	journal	September 2002
The Effect of Wave-Particle Interactions on the Propagation of Cosmic Rays Kulsrud, Russell; Pearce, William P. The Astrophysical Journal, Vol. 156 https://doi.org/10.1086/149981	journal	May 1969
Theory of first‐order plasma heating by collisional magnetic pumping Laroussi, M.; Roth, J. Reece Physics of Fluids B: Plasma Physics, Vol. 1, Issue 5 https://doi.org/10.1063/1.859025	journal	May 1989
Observational constraints on the dynamics of the interplanetary magnetic field dissipation range Leamon, Robert J.; Smith, Charles W.; Ness, Norman F. Journal of Geophysical Research: Space Physics, Vol. 103, Issue A3 https://doi.org/10.1029/97JA03394	journal	March 1998
The Efficiency of Second-Order Fermi Acceleration by Weakly Compressible Magnetohydrodynamic Turbulence Lynn, Jacob W.; Quataert, Eliot; Chandran, Benjamin D. G. The Astrophysical Journal, Vol. 777, Issue 2 https://doi.org/10.1088/0004-637X/777/2/128	journal	October 2013
Dynamical theory of the solar wind Parker, E. N. Space Science Reviews, Vol. 4, Issue 5-6 https://doi.org/10.1007/BF00216273	journal	September 1965
The radial temperature profile of the solar wind: SOLAR WIND RADIAL TEMPERATURE PROFILE Richardson, John D.; Smith, Charles W. Geophysical Research Letters, Vol. 30, Issue 5 https://doi.org/10.1029/2002GL016551	journal	March 2003
Evidence of a Cascade and Dissipation of Solar-Wind Turbulence at the Electron Gyroscale Sahraoui, F.; Goldstein, M. L.; Robert, P. Physical Review Letters, Vol. 102, Issue 23 https://doi.org/10.1103/PhysRevLett.102.231102	journal	June 2009
Radial evolution of nonthermal electron populations in the low-latitude solar wind: Helios, Cluster, and Ulysses Observations: NONTHERMAL ELECTRONS IN SOLAR WIND Štverák, Štěpán; Maksimovic, Milan; Trávníček, Pavel M. Journal of Geophysical Research: Space Physics, Vol. 114, Issue A5 https://doi.org/10.1029/2008JA013883	journal	May 2009
A binary collision model for plasma simulation with a particle code Takizuka, Tomonor; Abe, Hirotada Journal of Computational Physics, Vol. 25, Issue 3 https://doi.org/10.1016/0021-9991(77)90099-7	journal	November 1977
Multiscale Nature of the Dissipation Range in Gyrokinetic Simulations of Alfvénic Turbulence Told, D.; Jenko, F.; TenBarge, J. M. Physical Review Letters, Vol. 115, Issue 2 https://doi.org/10.1103/PhysRevLett.115.025003	journal	July 2015
Collisionless Isotropization of the Solar-Wind Protons by Compressive Fluctuations and Plasma Instabilities Verscharen, Daniel; Chandran, Benjamin D. G.; Klein, Kristopher G. The Astrophysical Journal, Vol. 831, Issue 2 https://doi.org/10.3847/0004-637X/831/2/128	journal	November 2016

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