Quasi‐linear diffusion coefficients for field‐aligned electromagnetic waves with applications to the magnetosphere

By Danny Summers. 2005

282 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Geophysics

View Paper: https://www.semanticscholar.org/paper/df59170df9ed9ff0c2c164902f474b4867a1d1f8

How researchers see this paper

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In Astronomy and Astrophysics

1. R. Thorne
2. Nigel P. Meredith
3. R. Horne
4. Y. Shprits
5. Binbin Ni
6. Wen Li
7. Jacob Bortnik
8. S. Glauert

In Geophysics

1. R. Thorne
2. Nigel P. Meredith
3. R. Horne
4. Y. Shprits
5. Binbin Ni
6. Wen Li
7. Jacob Bortnik
8. S. Glauert

Citations in the corpus

• Dependence of the quasi‐linear scattering rates on the wave normal distribution of chorus waves (2009, unknown): “[7] Shprits et al. [2006a] compared the diffusion coefficients computed assuming that waves were field aligned [ Summers, 2005 ] with the results from simulations assuming a distribution of the wave normal angle with Xm =0 , Xw = 0.577 and cutoffs at Xmin = 0 and Xmax = 1. The counterintuitive and s”
• Modeling of outer radiation belt electrons by multidimensional diffusion process (2009, methodology): “To allow very fast calculations, Summers [2005] derived simplified formulae for diffusion coefficients in the case of a parallel propagation approximation (with only the n = � 1 resonance) though a factor of 2 difference occurs when setting wave normal angles to be 0 in the PADIE code [Glauert and”
• Resonant scattering of plasma sheet electrons leading to diffuse auroral precipitation: 2. Evaluation for whistler mode chorus waves (2011, unknown): “…2005, 2007, 2008; Abel and Thorne, 1998a, 1998b; Horne et al., 2003, 2005a, 2005b; Thorne et al., 2005a, 2005b, 2007, 2010;Glauert and Horne, 2005; Summers, 2005; Varotsou et al., 2005, 2008; Shprits et al., 2006b, 2007, 2008, 2009a, 2009b; Summers et al., 2007a, 2007b; Summers et al., 2008;…”
• Particle Dynamics in the Earth's Radiation Belts: Review of Current Research and Open Questions (2020, methodology): “…of the 1970s (e.g., Roberts, 1969; Lyons et al., 1971, 1972; Lyons, 1974a; Schulz & Lanzerotti, 1974) has been deeply revisited, rederived, and modernized to be more easily understood and implemented in modern codes (e.g., Albert, 2005, 2007, 2010, 2012; Glauert & Horne, 2005; Summers, 2005).”
• Energetic outer zone electron loss timescalesduring low geomagnetic activity (2006, background): “Farther out, but remaining inside the plasmapause, resonant interactions with both plasmaspheric hiss and electromagnetic ion cyclotron (EMIC) waves are believed to dominate [Thorne et al., 1973; Lyons et al., 1972; Albert, 1994; Summers and Thorne, 2003; Summers, 2005].”
• Timescales for radiation belt electron acceleration and loss due to resonant wave-particle interactions: 1. Theory (2007, methodology): “A detailed examination of the variation of minimum resonant energy with fractional ion composition is given by Summers and Thorne [2003]. [13] Formulae (5)–(7) are exact, closed-form expressions for the rates of resonant diffusion Daa, Dap/p, and Dpp/p (2), that can be evaluated as functions of the ”
• Timescales for radiation belt electron acceleration and loss due to resonant wave‐particle interactions: 2. Evaluation for VLF chorus, ELF hiss, and electromagnetic ion cyclotron waves (2007, methodology): “scattering and precipitation loss can occur over many drift orbits, namely several hours, because EMIC wave amplitudes typically exceed the level for strong diffusion scattering [Summers et al., 1998; Summers and Thorne, 2003]. Summers and Thorne [2003] analyzed theoretically how”
• Relativistic turning acceleration of resonant electrons by coherent whistler mode waves in a dipole magnetic field (2007, background): “A physical mechanism that can account for the storm-time generation of relativistic electrons is cyclotron resonance with whistler mode chorus waves outside the plasmasphere [Summers et al., 1998, 2002, 2004; Roth et al., 1999; Summers and Ma, 2000; Meredith et al. ,2 002;Albert, 2002; Miyoshi et al”
• Constructing the global distribution of chorus wave intensity using measurements of electrons by the POES satellites and waves by the Van Allen Probes (2013, background): “[13] Chorus-driven pitch angle diffusion coefficients for a given electron energy are dependent on various parameters including wave amplitude, wave normal distribution, wave frequency spectrum, electron cyclotron frequency, and plasma frequency [Summers, 2005; Glauert and Horne, 2005].”
• Resonant scattering of outer zone relativistic electrons by multiband EMIC waves and resultant electron loss time scales (2015, background): “…commonly adopted a parallel or quasi-parallel propagation assumption to determine the resonant scattering rates of EMIC waves [e.g., Summers and Thorne, 2003; Summers, 2005; Summers et al., 2007; Li et al., 2007;Ukhorskiy et al., 2010; Subbotin et al., 2010; Kersten et al., 2014;Ma et al., 2015].”
• Three‐dimensional electron radiation belt simulations using the BAS Radiation Belt Model with new diffusion models for chorus, plasmaspheric hiss, and lightning‐generated whistlers (2014, methodology): “Several authors [e.g., Summers, 2005; Shprits et al., 2006a; Albert, 2007] have published approximate methods of calculating the diffusion rates and several other codes following [Glauert and Horne, 2005] have since been written [e.g., Ni et al., 2008].”
• Modeling radiation belt electron dynamics during GEM challenge intervals with the DREAM3D diffusion model (2013, background): “Quasi-linear theory, which applies to the interactions between charged particles and small-amplitude broadband waves, has long been used to model the resonant interactions between relativistic electrons and plasma waves [Kennel and Engelmann, 1966; Lyons, 1974a, 1974b; Summers, 2005; Albert, 2012].”
• Bounce‐averaged diffusion coefficients for field‐aligned chorus waves (2006, methodology): “Summers [2005] recently obtained analytic expressions for local diffusion rates, using the exact cold plasma dispersion relationship and the resonance condition for fieldaligned whistler mode cold plasma waves.”
• Electron scattering by whistler-mode ELF hiss in (2008, methodology): “analysis by Summers et al. [2007b] who calculated electron loss timescales due to scat373 tering by plasmaspheric hiss during low geomagnetic activity in the region 3 < L < 5.”
• Three-dimensional simulations of outer radiation belt electron dynamics including cross-diffusion terms (2010, methodology): “To allow fast calculations, Summers [2005] has derived concise formulae for diffusion coefficients by using a parallel”