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The influence of adiabatic focusing on particle diffusion is an important topic in astrophysics and plasma physics. In the past several authors have explored the influence of along-field adiabatic focusing on parallel diffusion of charged…

Solar and Stellar Astrophysics · Physics 2017-08-30 J. F. Wang , G. Qin , Q. M. Ma , T. Song , S. B. Yuan

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…

Solar and Stellar Astrophysics · Physics 2024-03-19 Xiaohang Chen , Joe Giacalone , Fan Guo , Kristopher G. Klein

The equation $\kappa_{zz}=d\sigma^2/(2dt)$ (hereafter DCDV) is a well-known formula of energetic particles describing the relation of parallel diffusion coefficient $\kappa_{zz}$ with the parallel displacement variance $\sigma^2$. In this…

High Energy Astrophysical Phenomena · Physics 2020-01-08 J. F. Wang , G. Qin

A fundamental problem in plasma and astrophysics is the interaction between energetic particles and magnetized plasmas. In the current paper we focus on particle diffusion across the guide magnetic field. It is shown that the perpendicular…

Solar and Stellar Astrophysics · Physics 2015-06-23 Andreas Shalchi

The concept of diffusion in collisionless space plasmas like those near the magnetopause and in the geomagnetic tail is reexamined from a fundamental statistical point of view making use of the division of particle orbits into waiting…

Space Physics · Physics 2014-06-25 R. A. Treumann , W. Baumjohann

We study the Langevin dynamics of a dipole diffusing in a random electrical field E derived from a quenched Gaussian potential. We show that in a suitable adiabatic limit (where the dynamics of the dipole moment is much faster than the…

Disordered Systems and Neural Networks · Physics 2015-05-13 Clement Touya , David S. Dean , Clement Sire

Momentum diffusion of the energetic charged particles is an important mechanism of the transport process in astrophysics, physics of the fusion devices, and laboratory plasmas. In addition to the uniform field momentum diffusion, we obtain…

Plasma Physics · Physics 2022-04-20 J. F. Wang , G. Qin

A heuristic approach for collisionless perpendicular diffusion of energetic particles is presented. Analytic forms for the corresponding diffusion coefficient are derived. The heuristic approach presented here explains the parameter $a^2$…

Solar and Stellar Astrophysics · Physics 2019-09-04 A. Shalchi

We compute the heavy quark momentum diffusion coefficient $\kappa$ using QCD kinetic theory for a system going through bottom-up isotropization in the initial stages of a heavy ion collision. We find that the values of $\kappa$ are within…

High Energy Physics - Phenomenology · Physics 2024-02-08 Kirill Boguslavski , Aleksi Kurkela , Tuomas Lappi , Florian Lindenbauer , Jarkko Peuron

Observations and modelling suggest that the fluctuations in magnetised plasmas exhibit scale-dependent anisotropy, with more energy in the fluctuations perpendicular to the mean magnetic field than in the parallel fluctuations and the…

Solar and Stellar Astrophysics · Physics 2013-04-22 T. Laitinen , S. Dalla , J. Kelly , M. Marsh

The mean square displacement and instantaneous diffusion coefficient for different configurations of charged particles in stochastic motion are calculated by numerically solving the associated equations of motion. The method is suitable for…

Statistical Mechanics · Physics 2019-06-26 Gabriela Raluca Mocanu

In this work, the perturbative and non-perturbative contributions to the heavy quark (HQ) momentum ($\kappa$) as well as spatial ($D_s$) diffusion coefficients are computed in a weak background magnetic field. The formalism adopted here…

High Energy Physics - Phenomenology · Physics 2025-07-10 Debarshi Dey , Aritra Bandyopadhyay , Santosh K. Das , Sadhana Dash , Vinod Chandra , Basanta K. Nandi

Turbulent, relativistic nonthermal plasmas are ubiquitous in high-energy astrophysical systems, as inferred from broadband nonthermal emission spectra. The underlying turbulent nonthermal particle acceleration (NTPA) processes have…

High Energy Astrophysical Phenomena · Physics 2025-10-08 Kai W. Wong , Vladimir Zhdankin , Dmitri A. Uzdensky , Gregory R. Werner , Mitchell C. Begelman

We develop the theoretical basis for the connection of the variety of anisotropic distributions with the statistical correlations among particles velocity components. By examining the most common anisotropic distribution, we derive the…

Statistical Mechanics · Physics 2021-03-17 George Livadiotis , George Nicolaou , Frederic Allegrini

A fundamental problem in plasma physics, space science, and astrophysics is the transport of energetic particles interacting with stochastic magnetic fields. In particular the motion of particles across a large scale magnetic field is…

Space Physics · Physics 2015-08-26 Andreas Shalchi

We examine how plasma excitations affect the heavy-quark diffusion coefficient in 2+1 dimensional and Glasma-like plasmas, akin to the pre-equilibrium matter describing relativistic heavy-ion collisions at early times. We find that the…

High Energy Physics - Phenomenology · Physics 2024-12-20 Liane Backfried , Kirill Boguslavski , Paul Hotzy

The diffusion approximation to the Fokker-Planck equation is commonly used to model the transport of solar energetic particles in interplanetary space. In this study, we present exact analytical predictions of a higher order telegraph…

Space Physics · Physics 2014-10-07 Frederic Effenberger , Yuri E. Litvinenko

The Spatial Parallel Diffusion Coefficient (SPDC) is one of the important quantities describing energetic charged particle transport. There are three different definitions for the SPDC, i.e., the Displacement Variance definition…

Mathematical Physics · Physics 2020-08-19 J. F. Wang , G. Qin

We study the diffusion of charged particles in the weakly ionized plasma with the power-law kappa-distributions and without magnetic field. The electrons and ions have different kappa-parameters. We obtain the expressions of both diffusion…

Plasma Physics · Physics 2020-02-04 Lan Wang , Jiulin Du

Heavy quark (HQ) momentum ($\kappa$) and spatial diffusion ($D_s$) coefficients are computed in a non-perturbative thermal QCD medium in the presence of a background magnetic field of arbitrary strength. Both perturbative and…

High Energy Physics - Phenomenology · Physics 2026-04-28 Debarshi Dey , Aritra Bandyopadhyay , Yifeng Sun , Santosh K. Das
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