The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
A. Shalchi , T. Škoda , R. C. Tautz , R. Schlickeiser
A&A, 507 2 (2009) 589-597
Published online: 2009-09-17
This article has been cited by the following article(s):
64 articles
Detailed test-particle simulations of energetic particles interacting with magnetized plasmas II. Three-dimensional turbulence with small Kubo numbers
V. Arendt and A. Shalchi Advances in Space Research 75 (7) 5971 (2025) https://doi.org/10.1016/j.asr.2025.01.041
Analytical solution of the space-dependent cosmic ray Fokker-Planck equation using Airy functions
B Klippenstein and A Shalchi Physica Scripta 100 (7) 075614 (2025) https://doi.org/10.1088/1402-4896/ade373
A Cosmic Ray Acceleration Mechanism Based on Background Flow Velocity Inhomogeneities Yielding Power-law Spectra
J.-F. 俊芳 Wang 王 and G. 刚 Qin 秦 The Astrophysical Journal 979 (1) 8 (2025) https://doi.org/10.3847/1538-4357/ad93a8
Radio–FIR correlation: A probe into cosmic ray propagation in the nearby galaxy IC 342
M. R. Nasirzadeh, F. S. Tabatabaei, R. Beck, V. Heesen, P. Howaida, M. Reina-Campos, R. Paladino, R. -J. Dettmar and K. T. Chyży Astronomy & Astrophysics 691 A199 (2024) https://doi.org/10.1051/0004-6361/202451110
Transport of energetic particles in turbulent space plasmas: pitch-angle scattering, telegraph, and diffusion equations
Andreas Shalchi Frontiers in Astronomy and Space Sciences 11 (2024) https://doi.org/10.3389/fspas.2024.1385820
The Mean Free Path of 13–64 MeV Protons Derived from Statistical Results of Solar Energetic Particle Events
Yushui 雨水 Zhong 仲, Yang 洋 Wang 汪 and Gang 刚 Qin 秦 The Astrophysical Journal 974 (2) 228 (2024) https://doi.org/10.3847/1538-4357/ad70aa
Scattering of the UHECR at small pitch angle by damped plasma waves
M. Vukcevic Journal of High Energy Astrophysics 43 153 (2024) https://doi.org/10.1016/j.jheap.2024.07.002
Reacceleration of Galactic Cosmic Rays beyond the Knee at the Termination Shock of a Cosmic-Ray-driven Galactic Wind
Payel Mukhopadhyay, Enrico Peretti, Noémie Globus, Paul Simeon and Roger Blandford The Astrophysical Journal 953 (1) 49 (2023) https://doi.org/10.3847/1538-4357/acdc9b
Turbulent diffusion of streaming cosmic rays in compressible, partially ionized plasma
Matt L Sampson, James R Beattie, Mark R Krumholz, et al. Monthly Notices of the Royal Astronomical Society 519 (1) 1503 (2022) https://doi.org/10.1093/mnras/stac3207
Propagation of Cosmic Rays in Plasmoids of AGN Jets-Implications for Multimessenger Predictions
Julia Becker Tjus, Mario Hörbe, Ilja Jaroschewski, Patrick Reichherzer, Wolfgang Rhode, Marcel Schroller and Fabian Schüssler Physics 4 (2) 473 (2022) https://doi.org/10.3390/physics4020032
Constants of motion in the theory of energetic particles propagating through magnetic turbulence
A. Shalchi Astrophysics and Space Science 367 (9) (2022) https://doi.org/10.1007/s10509-022-04131-9
Study of Momentum Diffusion with the Effect of Adiabatic Focusing
J. F. Wang and G. Qin The Astrophysical Journal Supplement Series 257 (2) 44 (2021) https://doi.org/10.3847/1538-4365/ac1bb3
Subspace approximation to the cosmic ray Fokker-Planck equation with perpendicular diffusion
A. Shalchi Astrophysics and Space Science 366 (7) (2021) https://doi.org/10.1007/s10509-021-03976-w
Energetic Particle Superdiffusion in Solar System Plasmas: Which Fractional Transport Equation?
Gaetano Zimbardo, Francesco Malara and Silvia Perri Symmetry 13 (12) 2368 (2021) https://doi.org/10.3390/sym13122368
Detailed test-particle simulations of energetic particles interacting with magnetized plasmas I. Two-component turbulence
V. Arendt and A. Shalchi Advances in Space Research 66 (8) 2001 (2020) https://doi.org/10.1016/j.asr.2020.07.024
Perpendicular Transport of Energetic Particles in Magnetic Turbulence
Andreas Shalchi Space Science Reviews 216 (2) (2020) https://doi.org/10.1007/s11214-020-0644-4
Test particle simulations of cosmic rays
Philipp Mertsch Astrophysics and Space Science 365 (8) (2020) https://doi.org/10.1007/s10509-020-03832-3
Simulation of Mean Free Path of Solar Energetic Particles in Three-dimensional MHD Background
Shangjie WANG, Wenwen WEI, Yousheng LIU, Yuji ZHU and Fang SHEN Chinese Journal of Space Science 40 (6) 980 (2020) https://doi.org/10.11728/cjss2020.06.980
Turbulence-level dependence of cosmic ray parallel diffusion
P Reichherzer, J Becker Tjus, E G Zweibel, L Merten and M J Pueschel Monthly Notices of the Royal Astronomical Society 498 (4) 5051 (2020) https://doi.org/10.1093/mnras/staa2533
Particle acceleration in interstellar shocks
Dejan Urošević, Bojan Arbutina and Dušan Onić Astrophysics and Space Science 364 (10) (2019) https://doi.org/10.1007/s10509-019-3669-y
The Diffusion Coefficient with Displacement Variance of Energetic Particles Caused by Adiabatic Focusing
J. F. Wang and G. Qin The Astrophysical Journal 886 (2) 89 (2019) https://doi.org/10.3847/1538-4357/ab505e
Perturbation theory based solution of the pitch-angle dependent cosmic ray diffusion equation
A. Shalchi and M. Gammon Advances in Space Research 63 (1) 653 (2019) https://doi.org/10.1016/j.asr.2018.09.029
Subspace approximations to the cosmic ray Fokker–Planck equation
J Lasuik and A Shalchi Monthly Notices of the Royal Astronomical Society 485 (2) 1635 (2019) https://doi.org/10.1093/mnras/stz474
Comparison between test-particle simulations and test-particle theories for cosmic ray transport: III. Dynamical turbulence
M Gammon, M Heusen and A Shalchi Journal of Physics Communications 3 (1) 015016 (2019) https://doi.org/10.1088/2399-6528/aaff26
Propagation of Solar Energetic Particles in the Outer Heliosphere: Interplay between Scattering and Adiabatic Focusing
H.-Q. He and W. Wan The Astrophysical Journal Letters 885 (2) L28 (2019) https://doi.org/10.3847/2041-8213/ab50bd
Analytical Description of the Time-dependent Perpendicular Transport of Energetic Particles
A. Shalchi The Astrophysical Journal 864 (2) 155 (2018) https://doi.org/10.3847/1538-4357/aadaeb
Time-dependent transport of energetic particles in magnetic turbulence: computer simulations versus analytical theory
V. Arendt and A. Shalchi Astrophysics and Space Science 363 (6) (2018) https://doi.org/10.1007/s10509-018-3338-6
The influence of non-Gaussian distribution functions on the time-dependent perpendicular transport of energetic particles
J. Lasuik and A. Shalchi Advances in Space Research 61 (11) 2827 (2018) https://doi.org/10.1016/j.asr.2018.03.014
Diffusion of charged particles in a stochastic force-free magnetic field
Ya. N. Istomin and A. M. Kiselev Physical Review D 98 (8) (2018) https://doi.org/10.1103/PhysRevD.98.083026
Time-dependent Perpendicular Transport of Energetic Particles for Different Turbulence Configurations and Parallel Transport Models
J. Lasuik and A. Shalchi The Astrophysical Journal 847 (1) 9 (2017) https://doi.org/10.3847/1538-4357/aa8720
Exact solution of the Fokker-Planck equation for isotropic scattering
M. A. Malkov Physical Review D 95 (2) (2017) https://doi.org/10.1103/PhysRevD.95.023007
Numerical analysis of the Fokker-Planck equation with adiabatic focusing: Realistic pitch-angle scattering
J. Lasuik, J.D. Fiege and A. Shalchi Advances in Space Research 59 (2) 722 (2017) https://doi.org/10.1016/j.asr.2016.10.027
Solutions of the cosmic ray velocity diffusion equation
J. Lasuik and A. Shalchi Advances in Space Research 60 (7) 1532 (2017) https://doi.org/10.1016/j.asr.2017.06.035
Analytical forms of the first 14 moments of the cosmic ray Fokker–Planck equation
A. Shalchi Journal of Plasma Physics 83 (6) (2017) https://doi.org/10.1017/S0022377817000824
Perpendicular Diffusion Coefficient of Comic Rays: The Presence of Weak Adiabatic Focusing
J. F. Wang, G. Qin, Q. M. Ma, T. Song and S. B. Yuan The Astrophysical Journal 845 (2) 112 (2017) https://doi.org/10.3847/1538-4357/aa7fb6
Finite gyroradius corrections in the theory of perpendicular diffusion 2. Strong velocity diffusion
A. Shalchi Advances in Space Research 57 (1) 431 (2016) https://doi.org/10.1016/j.asr.2015.10.032
The influence of the Kubo number on the transport of energetic particles
A Shalchi New Journal of Physics 18 (8) 085010 (2016) https://doi.org/10.1088/1367-2630/18/8/085010
SUPPRESSION OF PARALLEL TRANSPORT IN TURBULENT MAGNETIZED PLASMAS AND ITS IMPACT ON THE NON-THERMAL AND THERMAL ASPECTS OF SOLAR FLARES
Nicolas H. Bian, Eduard P. Kontar and A. Gordon Emslie The Astrophysical Journal 824 (2) 78 (2016) https://doi.org/10.3847/0004-637X/824/2/78
Cosmic ray propagation in sub-Alfvénic magnetohydrodynamic turbulence
R. Cohet and A. Marcowith Astronomy & Astrophysics 588 A73 (2016) https://doi.org/10.1051/0004-6361/201527376
COSMIC-RAY PITCH-ANGLE SCATTERING IN IMBALANCED MHD TURBULENCE SIMULATIONS
Martin S. Weidl, Frank Jenko, Bogdan Teaca and Reinhard Schlickeiser The Astrophysical Journal 811 (1) 8 (2015) https://doi.org/10.1088/0004-637X/811/1/8
Reacceleration of electrons in supernova remnants
M. Pohl, A. Wilhelm and I. Telezhinsky Astronomy & Astrophysics 574 A43 (2015) https://doi.org/10.1051/0004-6361/201425027
THE DIFFUSION APPROXIMATION VERSUS THE TELEGRAPH EQUATION FOR MODELING SOLAR ENERGETIC PARTICLE TRANSPORT WITH ADIABATIC FOCUSING. I. ISOTROPIC PITCH-ANGLE SCATTERING
Frederic Effenberger and Yuri E. Litvinenko The Astrophysical Journal 783 (1) 15 (2014) https://doi.org/10.1088/0004-637X/783/1/15
The different transport regimes of pitch-angle scattering of energetic particles
S. Srinivasan and A. Shalchi Astrophysics and Space Science 350 (1) 197 (2014) https://doi.org/10.1007/s10509-013-1705-x
Simulated energetic particle transport in the interplanetary space: The Palmer consensus revisited
R. C. Tautz and A. Shalchi Journal of Geophysical Research: Space Physics 118 (2) 642 (2013) https://doi.org/10.1002/jgra.50155
ON THE DIFFERENT ANALYTICAL RESULTS OBTAINED FOR THE PARALLEL DIFFUSION COEFFICIENT OF COSMIC PARTICLES WITH ADIABATIC FOCUSING
A. Shalchi and R. J. Danos The Astrophysical Journal 765 (2) 153 (2013) https://doi.org/10.1088/0004-637X/765/2/153
NUMERICAL ANALYSIS OF THE FOKKER-PLANCK EQUATION WITH ADIABATIC FOCUSING: ISOTROPIC PITCH-ANGLE SCATTERING
Rebecca J. Danos, Jason D. Fiege and Andreas Shalchi The Astrophysical Journal 772 (1) 35 (2013) https://doi.org/10.1088/0004-637X/772/1/35
A NUMERICAL STUDY OF DIFFUSIVE COSMIC-RAY TRANSPORT WITH ADIABATIC FOCUSING
Yuri E. Litvinenko and P. L. Noble The Astrophysical Journal 765 (1) 31 (2013) https://doi.org/10.1088/0004-637X/765/1/31
Perpendicular diffusion in magnetostatic slab turbulence: The theorem on reduced dimensionality and microscopic diffusion
A. Shalchi Journal of Atmospheric and Solar-Terrestrial Physics 97 37 (2013) https://doi.org/10.1016/j.jastp.2013.02.012
A DIRECT METHOD TO DETERMINE THE PARALLEL MEAN FREE PATH OF SOLAR ENERGETIC PARTICLES WITH ADIABATIC FOCUSING
H.-Q. He and W. Wan The Astrophysical Journal 747 (1) 38 (2012) https://doi.org/10.1088/0004-637X/747/1/38
Gyrophase diffusion of charged particles in random magnetic fields
A. Shalchi Monthly Notices of the Royal Astronomical Society 426 (2) 880 (2012) https://doi.org/10.1111/j.1365-2966.2012.21690.x
Parallel transport of cosmic rays for non-diffusive pitch-angle scattering: I. Using the standard Fokker–Planck equation
A Shalchi, G M Webb and J A le Roux Physica Scripta 85 (6) 065901 (2012) https://doi.org/10.1088/0031-8949/85/06/065901
DRIFT COEFFICIENTS OF CHARGED PARTICLES IN TURBULENT MAGNETIC FIELDS
R. C. Tautz and A. Shalchi The Astrophysical Journal 744 (2) 125 (2012) https://doi.org/10.1088/0004-637X/744/2/125
MODELING FOCUSED ACCELERATION OF COSMIC-RAY PARTICLES BY STOCHASTIC METHODS
C. K. Armstrong, Yuri E. Litvinenko and I. J. D. Craig The Astrophysical Journal 757 (2) 165 (2012) https://doi.org/10.1088/0004-637X/757/2/165
Simulating cosmic-ray transport with adiabatic focusing
R. C. Tautz, A. Dosch and I. Lerche Astronomy & Astrophysics 545 A149 (2012) https://doi.org/10.1051/0004-6361/201219636
Analytical description of nonlinear particle transport in slab turbulence: High particle energies and stochastic acceleration
A. Shalchi Physics of Plasmas 19 (10) (2012) https://doi.org/10.1063/1.4757983
NUMERICAL TEST OF IMPROVED NONLINEAR GUIDING CENTER THEORIES
R. C. Tautz and A. Shalchi The Astrophysical Journal 735 (2) 92 (2011) https://doi.org/10.1088/0004-637X/735/2/92
Charged-particle transport in space plasmas: an improved theory for cross-field scattering
A Shalchi Plasma Physics and Controlled Fusion 53 (7) 074010 (2011) https://doi.org/10.1088/0741-3335/53/7/074010
Velocity correlation functions of charged particles derived from the Fokker–Planck equation
A. Shalchi Advances in Space Research 47 (7) 1147 (2011) https://doi.org/10.1016/j.asr.2010.12.002
IMPROVED ANALYTICAL DESCRIPTION OF PARALLEL DIFFUSION WITH ADIABATIC FOCUSING
A. Shalchi The Astrophysical Journal 728 (2) 113 (2011) https://doi.org/10.1088/0004-637X/728/2/113
Simulating heliospheric and solar particle diffusion using the Parker spiral geometry
R. C. Tautz, A. Shalchi and A. Dosch Journal of Geophysical Research: Space Physics 116 (A2) n/a (2011) https://doi.org/10.1029/2010JA015936
A SIMPLE ANALYTICAL METHOD TO DETERMINE SOLAR ENERGETIC PARTICLES’ MEAN FREE PATH
H.-Q. He and G. Qin The Astrophysical Journal 730 (1) 46 (2011) https://doi.org/10.1088/0004-637X/730/1/46
Test-particle transport: higher-order correlations and time-dependent diffusion
A Shalchi, R C Tautz and T J Rempel Plasma Physics and Controlled Fusion 53 (10) 105016 (2011) https://doi.org/10.1088/0741-3335/53/10/105016
Analytical reduction of pitch-angle scattering in isotropic turbulence
R.C. Tautz and I. Lerche Physics Letters A 374 (45) 4573 (2010) https://doi.org/10.1016/j.physleta.2010.09.031
A UNIFIED PARTICLE DIFFUSION THEORY FOR CROSS-FIELD SCATTERING: SUBDIFFUSION, RECOVERY OF DIFFUSION, AND DIFFUSION IN THREE-DIMENSIONAL TURBULENCE
A. Shalchi The Astrophysical Journal 720 (2) L127 (2010) https://doi.org/10.1088/2041-8205/720/2/L127