DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Parallel Diffusion Coefficient of Energetic Charged Particles in the Inner Heliosphere from the Turbulent Magnetic Fields Measured by Parker Solar Probe

Journal Article · · The Astrophysical Journal

Diffusion coefficients of energetic charged particles in turbulent magnetic fields are a fundamental aspect of diffusive transport theory but remain incompletely understood. In this work, we use quasi-linear theory to evaluate the spatial variation of the parallel diffusion coefficient κ from the measured magnetic turbulence power spectra in the inner heliosphere. We consider the magnetic field and plasma velocity measurements from Parker Solar Probe made during Orbits 5–13. The parallel diffusion coefficient is calculated as a function of radial distance from 0.062 to 0.8 au, and the particle energy from 100 keV to 1 GeV. We find that κ increases exponentially with both heliocentric distance and energy of particles. The fluctuations in κ are related to the episodes of large-scale magnetic structures in the solar wind. By fitting the results, we also provide an empirical formula of κ = (5.16 ± 1.22) × 1018r1.17 ± 0.08 E0.71 ± 0.02 (cm2 s-1) in the inner heliosphere, which can be used as a reference in studying the transport and acceleration of solar energetic particles as well as the modulation of cosmic rays.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2564624
Report Number(s):
LA-UR--25-23589
Journal Information:
The Astrophysical Journal, Journal Name: The Astrophysical Journal Journal Issue: 1 Vol. 965; ISSN 0004-637X
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (61)

Solar Wind Electrons Alphas and Protons (SWEAP) Investigation: Design of the Solar Wind and Coronal Plasma Instrument Suite for Solar Probe Plus journal October 2015
The Solar Probe Plus Mission: Humanity’s First Visit to Our Star journal November 2015
The FIELDS Instrument Suite for Solar Probe Plus: Measuring the Coronal Plasma and Magnetic Field, Plasma Waves and Turbulence, and Radio Signatures of Solar Transients journal March 2016
Theory of Cosmic Ray Transport in the Heliosphere journal May 2022
The multi-scale nature of the solar wind journal December 2019
The passage of energetic charged particles through interplanetary space journal January 1965
In situ observations of magnetic field fluctuations journal January 2005
Particle acceleration and coronal mass ejection driven shocks: A theoretical model journal November 2000
On the Seed Population of Solar Energetic Particles in the Inner Heliosphere journal March 2023
The radial and latitudinal dependence of the cosmic ray diffusion tensor in the heliosphere journal February 1998
A quasi-linear kinetic equation for cosmic rays in the interplanetary medium journal May 1976
Transport coefficients of low-energy cosmic rays in interplanetary space journal January 1982
Applicability of Taylor’s hypothesis during Parker Solar Probe perihelia journal June 2021
Cosmic ray transport in anisotropic magnetohydrodynamic turbulence journal October 2001
Analytic calculation of the parallel mean free path of heliospheric cosmic rays journal December 2002
Cosmic-Ray Propagation. I. Charged Particles in a Random Magnetic Field journal November 1966
Stochastic Aspects of Magnetic Lines of Force with Application to Cosmic-Ray Propagation journal February 1969
on the Convection, Diffusion, and Adiabatic Deceleration of Cosmic Rays in the Solar Wind journal May 1970
Diffusion of Charged Particles in a Random Magnetic Field journal February 1973
Effects of particle drift on cosmic-ray transport. I - General properties, application to solar modulation journal April 1977
Gradient and curvature drifts in magnetic fields with arbitrary spatial variation journal December 1979
Rate of energy gain and maximum energy in diffusive shock acceleration journal February 1987
Proton and electron mean free paths: The Palmer consensus revisited journal January 1994
Quasi-linear theory and the phenomenology of interplanetary solar particle transport journal April 1993
Quasi‐linear Theory of Cosmic Ray Transport and Acceleration: The Role of Oblique Magnetohydrodynamic Waves and Transit‐Time Damping journal January 1998
The Transport of Cosmic Rays across a Turbulent Magnetic Field journal July 1999
Perpendicular Transport of Low-Energy Corotating Interaction Region–associated Nuclei journal November 1997
Solar Particle Transport in a Dynamical Quasi‐linear Theory journal June 2003
Nonlinear Collisionless Perpendicular Diffusion of Charged Particles journal May 2003
Interplanetary Transport Mechanisms of Solar Energetic Particles journal July 2004
Nonlinear Parallel and Perpendicular Diffusion of Charged Cosmic Rays in Weak Turbulence journal November 2004
Particle Acceleration at Shocks Moving through an Irregular Magnetic Field journal May 2005
Nonlinear Parallel Diffusion of Charged Particles: Extension to the Nonlinear Guiding Center Theory journal February 2007
Propagation of Solar Energetic Particles in Three-Dimensional Interplanetary Magnetic Fields journal February 2009
Anisotropic Three-Dimensional Focused Transport of Solar Energetic Particles in the Inner Heliosphere journal January 2010
Particle Acceleration by Collisionless Shocks Containing Large-Scale Magnetic-Field Variations journal November 2010
Diffusive Shock Acceleration of High-Energy Charged Particles at fast Interplanetary Shocks: a Parameter Survey journal January 2015
SIMULATIONS OF A GRADUAL SOLAR ENERGETIC PARTICLE EVENT OBSERVED BY HELIOS 1, HELIOS 2, AND IMP 8 journal August 2015
A Unified Particle Diffusion Theory for Cross-Field Scattering: Subdiffusion, Recovery of Diffusion, and Diffusion in Three-Dimensional Turbulence journal August 2010
Random Ballistic Interpretation of Nonlinear Guiding Center Theory journal February 2012
A Modified Version of Taylor’S Hypothesis for Solar Probe plus Observations journal March 2015
The Spectrum of Turbulence journal February 1938
Novel aspects of cosmic ray diffusion in synthetic magnetic turbulence journal November 2020
Parker Solar Probe Enters the Magnetically Dominated Solar Corona journal December 2021
Transport of cosmic rays in the interplanetary medium journal May 1968
The Solar Wind as a Turbulence Laboratory journal January 2013
Theory and Transport of Nearly Incompressible Magnetohydrodynamic Turbulence journal January 2017
Cosmic Ray Diffusion Tensor throughout the Heliosphere Derived from a Nearly Incompressible Magnetohydrodynamic Turbulence Model journal November 2017
The Acceleration of High-energy Protons at Coronal Shocks: The Effect of Large-scale Streamer-like Magnetic Field Structures journal December 2017
Geometry of Magnetic Fluctuations near the Sun from the Parker Solar Probe journal December 2021
Galactic Cosmic-Ray Propagation in the Inner Heliosphere: Improved Force-field Model journal September 2022
The Solar Probe ANalyzer—Ions on the Parker Solar Probe journal October 2022
Solar Energetic Particle Acceleration at a Spherical Shock with the Shock Normal Angle θBn Evolving in Space and Time journal December 2022
Quantifying the Energy Budget in the Solar Wind from 13.3 to 100 Solar Radii journal July 2023
Analyses of ∼0.05–2 MeV Ions Associated with the 2022 February 16 Energetic Storm Particle Event Observed by Parker Solar Probe journal November 2023
Cosmic-Ray Diffusion Coefficients throughout the Inner Heliosphere from a Global Solar Wind Simulation journal June 2017
Solar Energetic Particles Produced by a Slow Coronal Mass Ejection at ∼0.25 au journal February 2020
The Solar Probe Cup on the Parker Solar Probe journal February 2020
The Evolution and Role of Solar Wind Turbulence in the Inner Heliosphere journal February 2020
Evolution of Solar Wind Turbulence from 0.1 to 1 au during the First Parker Solar Probe–Solar Orbiter Radial Alignment journal May 2021
HELIO4CAST Interplanetary Coronal Mass Ejection Catalog v2.2 dataset January 2024