41 citations · 181 across the 16 of their papers we have counts for
16 papers
Application of the three-dimensional telegraph equation to cosmic-ray transport
R. C. Tautz, I. Lerche
An analytical solution to the the three-dimensional telegraph equation is presented. This equation has recently received some attention but so far the treatment has been one-dimens…
On the ergodicity of perpendicular cosmic ray transport
R. C. Tautz
Aims. The random walk of energetic charged particles in turbulent magnetic fields is investigated. Special focus is placed on transport across the mean magnetic field, which had be…
Monte-Carlo simulations of intensity profiles for energetic particle propagation
R. C. Tautz, J. Bolte, A. Shalchi
Aims. Numerical test-particle simulations are a reliable and frequently used tool to test analytical transport theories and to predict mean-free paths. The comparison between solut…
Cosmic-ray acceleration at collisionless astrophysical shocks using Monte-Carlo simulations
M. Wolff, R. C. Tautz
Context. The diffusive shock acceleration mechanism has been widely accepted as the acceleration mechanism for galactic cosmic rays. While self-consistent hybrid simulations have s…
Cosmic-ray diffusion in magnetized turbulence
R. C. Tautz
The problem of cosmic-ray scattering in the turbulent electromagnetic fields of the interstellar medium and the solar wind is of great importance due to the variety of applications…
Pitch-angle scattering of energetic particles with adiabatic focusing
R. C. Tautz, A. Shalchi, A. Dosch
Understanding turbulent transport of charged particles in magnetized plasmas often requires a model for the description of random variations in the particle's pitch angle. The Fokk…
Pitch-angle scattering in magnetostatic turbulence. II. Analytical considerations and pitch-angle isotropization
R. C. Tautz
Aims. The process of pitch-angle isotropization is important for many applications ranging from diffusive shock acceleration to large-scale cosmic-ray transport. Here, the basic an…
Pitch-angle scattering in magnetostatic turbulence. I. Test-particle simulations and the validity of analytical results
R. C. Tautz, A. Dosch, F. Effenberger +2
Context. Spacecraft observations have motivated the need for a refined description of the phase-space distribution function. Of particular importance is the pitch-angle diffusion c…
Interstellar Turbulent Magnetic Field Generation by Plasma Instabilities
R. C. Tautz, J. Triptow
The maximum magnetic field strength generated by Weibel-type plasma instabilities is estimated for typical conditions in the interstellar medium. The relevant kinetic dispersion re…
Modification of cosmic-ray energy spectra by stochastic acceleration
R. C. Tautz, I. Lerche, F. Kruse
Context: Typical space plasmas contain spatially and temporally variable turbulent electromagnetic fields. Understanding the transport of energetic particles and the acceleration m…
On numerical turbulence generation for test-particle simulations
R. C. Tautz, A. Dosch
A modified method is presented to generate artificial magnetic turbulence that is used for test-particle simulations. Such turbulent fields are obtained from the superposition of a…
On Simplified Numerical Turbulence Models in Test-particle Simulations
R. C. Tautz
Using the conventional approach of superposing plane waves, it is not possible to create a strictly isotropic turbulent magnetic field structure that obeys all physical constraints…
Methods for Summing General Kapteyn Series
R. C. Tautz, I. Lerche, D. Dominici
The general features and characteristics of Kapteyn series, which are a special type of series involving Bessel function, are investigated. For many applications to physics, astrop…
Simulating Heliospheric and Solar Particle Diffusion using the Parker Spiral Geometry
R. C. Tautz, A. Shalchi, A. Dosch
Cosmic Ray transport in curved background magnetic fields is investigated using numerical Monte-Carlo simulation techniques. Special emphasis is laid on the Solar system, where the…
A New Distribution Function for Relativistic Counterstreaming Plasmas
R. C. Tautz
The particle distribution function that describes two interpenetrating plasma streams is re-investigated. It is shown how, based on the Maxwell-Boltzmann-Jüttner distribution funct…
Non-linear Weibel-type Soliton Modes
R. C. Tautz, I. Lerche
Discussion is given of non-linear soliton behavior including coupling between electrostatic and electromagnetic potentials for non-relativistic, weakly relativistic, and fully rela…